;This file was created by Graph (http://www.padowan.dk)
;Do not change this file from other programs.
[Graph]
Version = 4.4.0.505
MinVersion = 2.5
OS = Windows XP 5.1 Service Pack 3

[Axes]
xMin = -10
xMax = 10
xTickUnit = 1
xGridUnit = 1
yMin = -10
yMax = 10
yTickUnit = 2
yGridUnit = 2
AxesColor = clMedGray
GridColor = 0x00FF9999
LegendFont = Verdana,10,clBlack
ShowLegend = 1
Radian = 1

[Label1]
Placement = 0
Pos = -10;10
Text = {\\rtf1\\ansi\\ansicpg1252\\deff0\\deflang3082{\\fonttbl{\\f0\\fnil\\fcharset0 Verdana;}{\\f1\\fnil\\fprq10\\fcharset0 Verdana;}{\\f2\\fnil Verdana;}}\n{\\colortbl ;\\red255\\green0\\blue0;\\red0\\green0\\blue0;\\red0\\green128\\blue0;\\red0\\green0\\blue255;}\n\\viewkind4\\uc1\\pard\\qc\\cf1\\lang1034\\ul\\b\\f0\\fs16\\par\n\\fs24 Note\\ulnone\\par\n\\pard\\cf2\\par\n     \\fs16 This file contains 276 types of plane curves arranged in alphabetical order       \\par\n     \\f1  with 754 examples. Different expressions usually describe the same curve. \\par\n\\f0\\par\n      Select the functions you want plotted in the function list to the left.\\par\n\\par\n      These curves have mainly been extracted from the following web sites, \\par\n      credited as reliable and accurate:\\cf3\\par\n\\cf2     \\par\n      - \\i MathWorld\\i0 :  \\cf4 http://mathworld.wolfram.com/\\cf2\\lang3082\\f2\\par\n\\lang1034\\f0       - \\i Mathematical Curves\\i0 : \\cf4  http://www.2dcurves.com/\\cf2\\par\n      - \\i Encyclop\\'e9die des Formes Math\\'e9matiques Remarquables \\i0 (in French):  \\par\n        \\cf4 http://www.mathcurve.com/index.htm    \\cf2\\f1\\par\n      \\par\n      \\f0\\par\n\\cf1\\fs28\\par\n}\n
BackgroundColor = 0x0033FF33
ShowInLegend = 0

[Relation1]
Relation = (y^2-x^2) (x-1) (2 x-3)=4 (x^2+y^2-2 x)^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Ampersand Curve (1):  (y^2-x^2) (x-1) (2 x-3)=a (x^2+y^2-2 x)^2   a=4

[Relation2]
Relation = (y^2-x^2) (x-1) (2 x-3)=1 (x^2+y^2-2 x)^2
Style = 5
Color = clRed
Visible = 0
LegendText = Ampersand Curve (2):  (y^2-x^2) (x-1) (2 x-3)=a (x^2+y^2-2 x)^2   a=1

[Relation3]
Relation = (y^2-x^2) (x-1) (2 x-3)=0.4 (x^2+y^2-2 x)^2
Style = 5
Color = 0x0033CC33
Visible = 0
LegendText = Ampersand Curve (3):  (y^2-x^2) (x-1) (2 x-3)=a (x^2+y^2-2 x)^2   a=4/10

[Relation4]
Relation = x^4-4 x^3+16 y^2=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Antiversiera (1):  x^4-2 a x^3+4 a^2 y^2=0   a=2

[Relation5]
Relation = x^4+6 x^3+36 y^2=0
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Antiversiera (2):  x^4-2 a x^3+4 a^2 y^2=0   a=-3

[Relation6]
Relation = (x-4) (x^2+y^2)+x/4+6 y=0
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Apollonian Cubic (1):  (x-a) (x^2+y^2)+b x+c y=0   a=4, b=1/4, c=6

[Relation7]
Relation = (x-4) (x^2+y^2)+x+8 y=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Apollonian Cubic (2):  (x-a) (x^2+y^2)+b x+c y=0   a=4, b=1, c=8

[Relation8]
Relation = (x-2) (x^2+y^2)+2 x+6 y=0
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Apollonian Cubic (3):  (x-a) (x^2+y^2)+b x+c y=0   a=2, b=2, c=6

[Func1]
FuncType = 2
r = 4 sin(6 t)/sin(5 t)
Visible = 0
LegendText = Arachnida Curve (1):  r(t)=a sin(n t)/sin((n-1) t)   a=4, n=6
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func2]
FuncType = 2
r = 4 sin(4 t)/sin(3 t)
Visible = 0
LegendText = Arachnida Curve (2):  r(t)=a sin(n t)/sin((n-1) t)   a=4, n=4
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func3]
FuncType = 2
r = 2 t^(1/-2)
Visible = 0
LegendText = Archimedean Spiral (1):  r(t)=a t^(1/n)   a=2, n=-2 (Lituus)
From = 0
To = 20pi
Steps = 10000
Color = clGreen

[Func4]
FuncType = 2
r = 2 t^(-1)
Visible = 0
LegendText = Archimedean Spiral (2):  r(t)=a t^(1/n)   a=2, n=-1 (Hyperbolic Spiral)
From = 0
To = 10pi
Steps = 1000
Color = clBlue

[Func5]
FuncType = 2
r = 2 t
Visible = 0
LegendText = Archimedean Spiral (3):  r(t)=a t^(1/n)   a=2, n=1 (Archimedes' Spiral)
From = 0
To = 20pi
Steps = 1000
Color = 0x0000CCFF

[Func6]
FuncType = 2
r = 2 t^(1/2)
Visible = 0
LegendText = Archimedean Spiral (4):  r(t)=a t^(1/n)   a=2, n=2 (Fermat's Spiral)
From = 0
To = 20pi
Steps = 1000
Color = clRed

[Func7]
FuncType = 2
r = t/2
Visible = 0
LegendText = Archimedes' Spiral (1):  r(t)=a t   a=1/2
From = 0
To = 10pi
Steps = 1000
Color = 0x00CC9900

[Func8]
FuncType = 1
x = (t/4) cos t
y = (t/4) sin t
Visible = 0
LegendText = Archimedes' Spiral (2):  x(t)=a t cos(t), y(t)=a t sin(t)   a=1/4
From = 0
To = 60
Steps = 1000
Color = 0x0000CCFF

[Relation9]
Relation = x^2*(3 x^2-y^2)^2=y^2*(x^2+y^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Arcs of Samothrace (1):  x^2 (3 x^2-y^2)^2=y^2 (x^2+y^2)

[Func9]
FuncType = 2
r = tan(t)/2 (1+2 cos(2 t))
Visible = 0
LegendText = Arcs of Samothrace (2):  r(t)=a tan(t)/(1+2 cos(2 t))   a=1/2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func10]
FuncType = 1
x = 8 cos(t)^3
y = 8 sin(t)^3
Visible = 0
LegendText = Astroid (1):  x(t)=a cos(t)^3, y(t)=a sin(t)^3   a=8
From = -10
To = 10
Steps = 1000
Color = clRed

[Relation10]
Relation = x^(2/3)+y^(2/3)=pi^(2/3)
Style = 5
Color = clBlue
Visible = 0
LegendText = Astroid (2):  x^(2/3)+y^(2/3)=a^(2/3)   a=pi

[Func11]
FuncType = 1
x = 4 (cos(t) (8+5 cos(2 t)+3 cos(6 t))/(13+3 cos(4 t)))
y = 4 (4 sin(t)^3*(7+6 cos(2 t)+3 cos(4 t))/(13+3 cos(4 t)))
Visible = 0
LegendText = Astroid Catacaustic:  x(t)=a (cos(t) (8+5 cos(2 t)+3 cos(6 t))/(13+3 cos(4 t))), y(t)=a (4 sin(t)^3 (7+6 cos(2 t)+3 cos(4 t))/(13+3 cos(4 t)))   a=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func12]
FuncType = 2
r = t/(t-1/4)
Visible = 0
LegendText = Atom Spiral (1):  r(t)=t/(t-a)   a=1/4
From = -10pi
To = 10pi
Steps = 1000
Color = clBlue

[Func13]
FuncType = 2
r = t/(t-1)
Visible = 0
LegendText = Atom Spiral (2):  r(t)=t/(t-a)   a=1
From = -10pi
To = 10pi
Steps = 1000
Color = clRed

[Func14]
FuncType = 2
r = t/(t-4)
Visible = 0
LegendText = Atom Spiral (3):  r(t)=t/(t-a)   a=4
From = -10pi
To = 10pi
Steps = 1000
Color = 0x0066CC66

[Relation11]
Relation = x^4*(x^2+y^2)-(x^2-1)^2=0
Style = 5
Color = clRed
Visible = 0
LegendText = Atriphtaloid (1):  x^4 (x^2+y^2)-(a x^2-b)^2=0   a=1, b=1 (a>0, b>0)

[Relation12]
Relation = x^4*(x^2+y^2)-(2 x^2-1)^2=0
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Atriphtaloid (2):  x^4 (x^2+y^2)-(a x^2-b)^2=0   a=2, b=1 (a>0, b>0)

[Relation13]
Relation = x^4*(x^2+y^2)-(3 x^2-1)^2=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Atriphtaloid (3):  x^4 (x^2+y^2)-(a x^2-b)^2=0   a=3, b=1 (a>0, b>0)

[Relation14]
Relation = x^4*(x^2+y^2)-(5 x^2-1)^2=0
Style = 5
Color = 0x00B2B2B2
Visible = 0
LegendText = Atriphtaloid (4):  x^4 (x^2+y^2)-(a x^2-b)^2=0   a=5, b=1 (a>0, b>0)

[Relation15]
Relation = y=1-abs(x)/4
Style = 5
Color = clBlue
Visible = 0
LegendText = Bartlett Function (1):  y=1-abs(x)/a   a=4

[Relation16]
Relation = y=1-abs(x)/2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Bartlett Function (2):  y=1-abs(x)/a   a=2

[Relation17]
Relation = x^4+x^2*y^2+y^4=5 x*(x^2+y^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Bean Curve (1):  x^4+x^2 y^2+y^4=a x (x^2+y^2)   a=5

[Relation18]
Relation = y^4+x^2*y^2+x^4=-8 y*(x^2+y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Bean Curve (2):  y^4+x^2 y^2+x^4=a y (x^2+y^2)   a=-8

[Relation19]
Relation = y=4 e^(-x^4)
Style = 5
Color = clBlue
Visible = 0
LegendText = Bell-shaped Curve:  y=a e^(-x^4)   a=4

[Relation20]
Relation = x^4=16 (x^2-y^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Besace (1):  (x^2-b y)^2=a^2 (x^2-y^2)   a=4, b=0 (Lemniscate of Gerono)

[Relation21]
Relation = (x^2-4 y)^2=4 (x^2-y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Besace (2):  (x^2-b y)^2=a^2 (x^2-y^2)   a=2, b=4

[Relation22]
Relation = (x^2-6 y)^2=(x^2-y^2)
Style = 5
Color = clRed
Visible = 0
LegendText = Besace (3):  (x^2-b y)^2=a^2 (x^2-y^2)   a=1, b=6

[Relation23]
Relation = y=beta(x,pi)
Style = 5
Color = clBlue
Visible = 0
LegendText = Beta Function (1):  y=beta(m,n)   m=x, n=pi

[Relation24]
Relation = y=beta(x,y)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Beta Function (2):  y=beta(m,n)   m=x, n=y

[Relation25]
Relation = y^2*(25-x^2)=(x^2+10 y-25)^2
Style = 5
Color = clRed
Visible = 0
LegendText = Bicorn (1):  y^2 (a^2-x^2)=(x^2+2 a y-a^2)^2   a=1

[Func15]
FuncType = 1
x = -2pi*sin t
y = -2pi*(2+cos t) cos(t)^2/(3+sin(t)^2)
Visible = 0
LegendText = Bicorn (2):  x(t)=a sin t, y(t)=a (2+cos t) cos(t)^2/(3+sin(t)^2)   a=-2pi
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation26]
Relation = (x^2-1) (x-1)^2+(y^2-1)^2=0
Style = 5
Color = clGreen
Visible = 0
LegendText = Bicuspid Curve (1):  (x^2-a^2) (x-a)^2+(y^2-a^2)^2=0   a=1

[Relation27]
Relation = (x^2-4) (x-4)^2+(y^2-4)^2=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Bicuspid Curve (2):  (x^2-a^2) (x-a)^2+(y^2-a^2)^2=0   a=2

[Func16]
FuncType = 2
r = 24 cos(t) sin(t)^2/(3+cos(4 t))
Visible = 0
LegendText = Bifoliate (1):  r(t)=a 8 cos(t) sin(t)^2/(3+cos(4 t))   a=3 (Axis of symmetry: y=0)
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Relation28]
Relation = x^4+y^4=-8 x*y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Bifoliate (2):  x^4+y^4=2 a x y^2   a=-4 (Axis of symmetry: y=0)

[Relation29]
Relation = y^4+x^4=4 pi*y*x^2
Style = 5
Color = 0x000099FF
Visible = 0
LegendText = Bifoliate (3):  y^4+x^4=2 a y x^2   a=2pi (Axis of symmetry: x=0)

[Func17]
FuncType = 2
r = (-2 cos t+8 sin t) cos(t)^2
Visible = 0
LegendText = Bifolium (1):  r(t)=(a cos t+b sin t) cos(t)^2   a=-2, b=8
From = -2pi
To = 2pi
Steps = 1000
Color = clGreen

[Relation30]
Relation = (x^2+y^2)^2=x^2*(6 x+10 y)
Style = 5
Color = clBlue
Visible = 0
LegendText = Bifolium (2):  (x^2+y^2)^2=x^2 (a x+b y)   a=6, b=10

[Relation31]
Relation = x^4+y^4-x^2*y^2=2 x*(x^2+y^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = *Boomerang Curve (1):  x^4+y^4-x^2 y^2=a x (x^2+y^2)   a=2

[Relation32]
Relation = x^4+y^4-x^2*y^2=-3 x*(x^2+y^2)
Style = 5
Color = clGreen
Visible = 0
LegendText = *Boomerang Curve (2):  x^4+y^4-x^2 y^2=a x (x^2+y^2)   a=-3

[Func18]
FuncType = 1
x = 0.6 (5 sin(2 t)/2+sin(4 t)^3)
y = 0.6 (cos(4 t)^3-8 cos(2 t))
Visible = 0
LegendText = *Bottle-like Curve:  x(t)=a (5 sin(2 t)/2+sin(4 t)^3), y(t)=b (cos(4 t)^3-8 cos(2 t))   a=b=6/10
From = -10
To = 10
Steps = 10000
Color = clBlue

[Relation33]
Relation = x^4+y^3=y*x^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Bow Curve (1):  x^4+y^3=y x^2

[Relation34]
Relation = y^4+x^3=x*y^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Bow Curve (2):  x^3+y^4=x y^2

[Func19]
FuncType = 1
x = 4 cot(t)
y = 2 cos(t)
Visible = 0
LegendText = Bullet-nose Curve (1):  x(t)=a cos(t), y(t)=b cot(t)   a=4, b=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation35]
Relation = 1/x^2-1/y^2=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Bullet-nose Curve (2):  a^2/x^2-b^2/y^2=1   a=1, b=1

[Relation36]
Relation = y^2=x^5-x
Style = 5
Color = clBlue
Visible = 0
LegendText = Burnside's Curve:  y^2=x^5-x

[Relation37]
Relation = y^6=x^2-x^6
Style = 5
Color = clBlue
Visible = 0
LegendText = Butterfly Curve (1):  y^6=x^2-x^6

[Func20]
FuncType = 2
r = (e^sin(t)-2 cos(4 t)+sin((2 t-pi)/24)^5)
Visible = 0
LegendText = Butterfly Curve (2):  r(t)=a (e^sin(t)-2 cos(4 t)+sin((2 t-pi)/24)^5)   a=1
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func21]
FuncType = 1
x = 2 (sin(t)*(e^cos(t)-2 cos(4 t)+sin(t/12)^5))
y = 2 (cos(t)*(e^cos(t)-2 cos(4 t)+sin(t/12)^5))
Visible = 0
LegendText = Butterfly Curve (3):  x(t)=a (sin(t) (e^cos(t)-2 cos(4 t)+sin(t/12)^5)), y(t)=a (cos(t) (e^cos(t)-2 cos(4 t)+sin(t/12)^5))   a=2
From = -5
To = 5
Steps = 1000
Color = 0x0000CCFF

[Func22]
FuncType = 2
r = 5 (sin(5 t)^3+cos(t)^2)
Visible = 0
LegendText = *Butterfly Curve (4):  r(t)=a (sin(5 t)^3+cos(t)^2)   a=5
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Relation38]
Relation = 16 x^2*(x^2+y^2)-32 (4 y-x^2-y^2)^2=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Capricornoid:  a^2 x^2 (x^2+y^2)-b (a y-x^2-y^2)^2=0   a=4, b=32 (a>0, b>a^2)

[Func23]
FuncType = 2
r = 2 (1+cos t)
Visible = 0
LegendText = Cardioid (1):  r(t)=a (1+cos(t))   a=2
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func24]
FuncType = 1
x = -e*(1+cos(t)) cos(t)
y = -e*(1+cos(t)) sin(t)
Visible = 0
LegendText = Cardioid (2):  x(t)=a (1+cos(t)) cos(t), y(t)=a (1+cos(t)) sin(t)   a=-e
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation39]
Relation = (x^2+y^2-4 x)^2=16 (x^2+y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cardioid (3):  (x^2+y^2-a x)^2=a^2 (x^2+y^2)   a=4

[Func25]
FuncType = 2
r = -6 sin(t/2)^2
Visible = 0
LegendText = *Cardioid (4):  r(t)=a sin(t/2)^2   a=-6
From = 0
To = 2pi
Steps = 1000
Color = 0x00FF9966

[Func26]
FuncType = 2
r = -8 cos(t/2)^2
Visible = 0
LegendText = *Cardioid (5):  r(t)=a cos(t/2)^2   a=-8
From = 0
To = 2pi
Steps = 1000
Color = 0x0033CC33

[Func27]
FuncType = 1
x = 4 (2+3 cos(t)-cos(3 t))/4
y = 4 sin(t)^3
Visible = 0
LegendText = Cardioid Catacaustic:  x(t)=a (2+3 cos(t)-cos(3 t))/4, y(t)=a sin(t)^3   a=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation40]
Relation = ((x-6)^2+y^2)((x+6)^2+y^2)=7^4
Style = 5
Color = clBlue
Visible = 0
LegendText = Cassinian Oval (1):  ((x-a)^2+y^2) ((x+a)^2+y^2)=b^4   a=6, b=7

[Relation41]
Relation = ((x-5)^2+y^2) ((x+5)^2+y^2)=5^4
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cassinian Oval (2):  ((x-a)^2+y^2) ((x+a)^2+y^2)=b^4   a=5, b=5

[Relation42]
Relation = ((x-6)^2+y^2) ((x+6)^2+y^2)=pi^4
Style = 5
Color = clBlack
Visible = 0
LegendText = Cassinian Oval (3):  ((x-a)^2+y^2) ((x+a)^2+y^2)=b^4   a=6, b=pi

[Relation43]
Relation = y=cosh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Catenary (1):  y=a cosh(x/a)   a=1

[Func28]
FuncType = 1
x = 2 t
y = 2 cosh(t/2)
Visible = 0
LegendText = Catenary (2):  x(t)=a t, y(t)=a cosh(t/a)   a=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func29]
FuncType = 1
x = -e*ln(t)
y = (-e/2) (t+1/t)
Visible = 0
LegendText = Catenary (3):  x(t)=a ln(t), y(t)=(a/2) (t+1/t)   a=-e
From = -10
To = 10
Steps = 1000
Color = 0x00FF9966

[Relation44]
Relation = y=(-1/4)*(e^(-2 x)+e^(2 x))
Style = 5
Color = clGreen
Visible = 0
LegendText = Catenary (4):  y=(a/2) (e^(x/a)+e^(-x/a))   a=-1/2

[Relation45]
Relation = y=-2 ln(cos(x/2))
Constraints = -pi<x<pi
Style = 5
Color = clBlue
Visible = 0
LegendText = Catenary of equal resistance (1):  y=a ln(cos(x/a))   a=-2

[Relation46]
Relation = y=(-0.5)*ln(cos(2 x))
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Catenary of equal resistance (2):  y=a ln(cos(x/a))   a=-1/2

[Func30]
FuncType = 1
x = 4 cos(t) cos(t/3)^3
y = 4 sin(t) cos(t/3)^3
Visible = 0
LegendText = Cayley's Sextic (1):  x(t)=a cos(t) cos(t/3)^3, y(t)=a sin(t) cos(t/3)^3   a=4
From = -10
To = 10
Steps = 1000
Color = clRed

[Func31]
FuncType = 2
r = -4 sqrt(2) cos(t/3)^3
Visible = 0
LegendText = Cayley's Sextic (2):  r(t)=a cos(t/3)^3   a=-4 sqrt(2)
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Relation47]
Relation = 4 (x^2+y^2-2 x)^3=108 (x^2+y^2)^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cayley's Sextic (3):  4 (x^2+y^2-a x)^3=27 a^2 (x^2+y^2)^2   a=2

[Relation48]
Relation = y^2=abs(sin(x)+sin(2 x)/10)
Style = 5
Color = clBlue
Visible = 0
LegendText = Chain of Eggs:  y^2=abs(sin(x)+sin(2 x)/10)

[Relation49]
Relation = x^2+y^2=5^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Circle (1):  (x-a)^2+(y-b)^2=r^2   center (a,b)=(0,0), radius r=5

[Relation50]
Relation = (x+1)^2+(y+4)^2=5^2
Style = 5
Color = clBlack
Visible = 0
LegendText = Circle (2):  (x-a)^2+(y-b)^2=r^2   center (a,b)=(-1,-4), radius r=5

[Func32]
FuncType = 1
x = pi*cos(t)
y = pi*sin(t)
Visible = 0
LegendText = Circle (3):  x(t)=r cos(t), y(t)=r sin(t)   radius r=pi
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func33]
FuncType = 2
r = 2
Visible = 0
LegendText = Circle (4):  r(t)=r   center (0,0), radius r=2
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func34]
FuncType = 2
r = 2 cos(t)
Visible = 0
LegendText = Circle (5):  r(t)=2 a cos(t)   center (a,0), radius a=1
From = 0
To = 2pi
Steps = 1000
Color = clMedGray

[Func35]
FuncType = 2
r = 2 sin(t)
Visible = 0
LegendText = Circle (6):  r(t)=2 b sin(t)   center (0,b), radius b=1
From = 0
To = 2pi
Steps = 1000
Color = 0x0066CCFF

[Func36]
FuncType = 2
r = 4
Visible = 0
LegendText = Circle (7):  r(t)=a/(1+e cos(t))   a=4 (semilatus rectum), e=0 (eccentricity, e=0)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Func37]
FuncType = 1
x = 4 (cos(t)^3-(3/2) cos(t)+1)/((3/2) cos(t)-1-2 (1/2)^2)
y = 4 sin(t)^3/((3/2) cos(t)-1-2 (1/2)^2)
Visible = 0
LegendText = Circle Catacaustic (1):  x(t)=a (2 b cos(t)^3-3 b cos(t)+1)/(3 b cos(t)-1-2 b^2), y(t)=2 a b sin(t)^3/(3 b cos(t)-1-2 b^2)   a=4, b=1/2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func38]
FuncType = 1
x = 2 ((6/4) cos(t)^3-(9/4) cos(t)+1)/((9/4) cos(t)-1-2 (3/4)^2)
y = 3 sin(t)^3/((9/4) cos(t)-1-2 (3/4)^2)
Visible = 0
LegendText = Circle Catacaustic (2):  x(t)=a (2 b cos(t)^3-3 b cos(t)+1)/(3 b cos(t)-1-2 b^2), y(t)=2 a b sin(t)^3/(3 b cos(t)-1-2 b^2)   a=2, b=3/4
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func39]
FuncType = 1
x = 2 (2 cos(t)^3-3 cos(t)+1)/(3 cos(t)-3)
y = 4 sin(t)^3/(3 cos(t)-3)
Visible = 0
LegendText = Circle Catacaustic (3):  x(t)=a (2 b cos(t)^3-3 b cos(t)+1)/(3 b cos(t)-1-2 b^2), y(t)=2 a b sin(t)^3/(3 b cos(t)-1-2 b^2)   a=2, b=1
From = -10
To = 10
Steps = 1000
Color = 0x0066CC66

[Func40]
FuncType = 1
x = 4 (4 cos(t)^3-6 cos(t)+1)/(6 cos(t)-9)
y = 16 sin(t)^3/(6 cos(t)-9)
Visible = 0
LegendText = Circle Catacaustic (4):  x(t)=a (2 b cos(t)^3-3 b cos(t)+1)/(3 b cos(t)-1-2 b^2), y(t)=2 a b sin(t)^3/(3 b cos(t)-1-2 b^2)   a=4, b=2
From = -10
To = 10
Steps = 1000
Color = clRed

[Func41]
FuncType = 1
x = (cos(t)+t sin(t))
y = (sin(t)-t cos(t))
Visible = 0
LegendText = Circle Involute:  x(t)=a (cos(t)+t sin(t)), y(t)=a (sin(t)-t cos(t))   a=1
From = 0
To = 40
Steps = 1000
Color = clBlue

[Func42]
FuncType = 2
r = -asin(t/4)+sqrt(16-t^2)/t
Visible = 0
LegendText = Circular Tractrix (1):  r(t)=-asin(t/2 a)+sqrt(4 a^2-t^2)/t   a=2
From = -4pi
To = 4pi
Steps = 1000
Color = clBlue

[Func43]
FuncType = 2
r = -asin(t)+sqrt(1-t^2)/t
Visible = 0
LegendText = Circular Tractrix (2):  r(t)=-asin(t/2 a)+sqrt(4 a^2-t^2)/t   a=1/2
From = -8pi
To = 8pi
Steps = 1000
Color = 0x0000CCFF

[Func44]
FuncType = 2
r = 2 sin(t) tan(t)
Visible = 0
LegendText = Cissoid of Diocles (1):  r(t)=2 a sin(t) tan(t)   a=1
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func45]
FuncType = 1
x = 4/(1+t^2)
y = 4/(t*(1+t^2))
Visible = 0
LegendText = Cissoid of Diocles (2):  x(t)=2 a/(1+t^2), y(t)=2 a/(t*(1+t^2))   a=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func46]
FuncType = 1
x = 2 pi*sin(t)^2
y = 2 pi*sin(t)^3/cos(t)
Visible = 0
LegendText = Cissoid of Diocles (3):  x(t)=2 a sin(t)^2, y(t)=2 a sin(t)^3/cos(t)   a=pi
From = -10
To = 10
Steps = 1000
Color = 0x0066CC00

[Relation51]
Relation = y^2*(10-x)=x^3
Style = 5
Color = clRed
Visible = 0
LegendText = Cissoid of Diocles (4):  y^2 (2 a-x)=x^3   a=5

[Func47]
FuncType = 2
r = 4 (abs(sin(6 t/8))^(-3)-abs(cos(6 t/8)))^(-3)
Visible = 0
LegendText = *Clover (1):  r(t)=a (abs(sin(6 t/8))^(-3)-abs(cos(6 t/8)))^(-3)   a=4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func48]
FuncType = 2
r = 3 (abs(sin(6 t/8))^(-4)-abs(cos(6 t/8)))^(-4)
Visible = 0
LegendText = *Clover (2):  r(t)=a (abs(sin(6 t/8))^(-4)-abs(cos(6 t/8)))^(-4)   a=3
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func49]
FuncType = 2
r = -2 (abs(sin(6 t/8))^(-6)-abs(cos(6 t/8)))^(-6)
Visible = 0
LegendText = *Clover (3):  r(t)=a (abs(sin(6 t/8))^(-6)-abs(cos(6 t/8)))^(-6)   a=-2
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Relation52]
Relation = ((x-4)^2+y^2) (x+4)^2=81
Style = 5
Color = clBlue
Visible = 0
LegendText = Cochlear Curve (1):  ((x-a)^2+y^2) (x+a)^2=b^4   a=4, b=3 (0<b<a)

[Relation53]
Relation = ((x-4)^2+y^2) (x+4)^2=256
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cochlear Curve (2):  ((x-a)^2+y^2) (x+a)^2=b^4   a=4, b=4 (a=b)

[Relation54]
Relation = ((x-3)^2+y^2) (x+3)^2=6^4
Style = 5
Color = clGreen
Visible = 0
LegendText = Cochlear Curve (3):  ((x-a)^2+y^2) (x+a)^2=b^4   a=3, b=6 (0<a<b)

[Func50]
FuncType = 1
x = 2pi*sin(t)/t
y = 2pi*(1-cos(t))/t
Visible = 0
LegendText = Cochleoid (1):  x(t)=a sin(t)/t, y(t)=a (1-cos(t))/t   a=2pi
From = 0
To = 50
Steps = 1000
Color = clBlue

[Func51]
FuncType = 1
x = 8 sin(t) cos(t)/t
y = 8 sin(t)^2/t
Visible = 0
LegendText = Cochleoid (2):  x(t)=a sin(t) cos(t)/t, y(t)=a sin(t)^2/t   a=8
From = 0
To = 50
Steps = 1000
Color = 0x0000CCFF

[Func52]
FuncType = 2
r = -6 sin(t)/t
Visible = 0
LegendText = Cochleoid (3):  r(t)=a sin(t)/t   a=-6
From = 0
To = 10pi
Steps = 1000
Color = clRed

[Func53]
FuncType = 2
r = abs(1/sin(t/4)^(1/3)-cos(4 t)^2)
Visible = 0
LegendText = *Comet Function:  r(t)=k abs(1/sin(t/4)^(1/3)-cos(4 t)^2)   k=1
From = 0
To = 10pi
Steps = 1000
Color = clBlue

[Func54]
FuncType = 1
x = (sec(t)-2pi*cos(t)) cos(t)
y = (sec(t)-2pi*cos(t)) sin(t)
Visible = 0
LegendText = Conchoid of de Sluze (1):  x(t)=(sec(t)+a cos(t)) cos(t), y(t)=(sec(t)+a cos(t)) sin(t)   a=-2pi
From = -10
To = 10
Steps = 1000
Color = 0x0066CC66

[Func55]
FuncType = 1
x = (sec(t)-3 cos(t)) cos(t)
y = (sec(t)-3 cos(t)) sin(t)
Visible = 0
LegendText = Conchoid of de Sluze (2):  x(t)=(sec(t)+a cos(t)) cos(t), y(t)=(sec(t)+a cos(t)) sin(t)   a=-3
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func56]
FuncType = 2
r = sec(t)-cos(t)
Visible = 0
LegendText = Conchoid of de Sluze (3):  r(t)=sec(t)+a cos(t)   a=-1
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func57]
FuncType = 2
r = sec(t)-0.5 cos(t)
Visible = 0
LegendText = Conchoid of de Sluze (2):  r(t)=sec(t)+a cos(t)   a=-1/2
From = 0
To = 2pi
Steps = 1000
Color = clSkyBlue

[Relation55]
Relation = (x-1)(x^2+y^2)=0
Style = 5
Color = clBlack
Visible = 0
LegendText = Conchoid of de Sluze (5):  (x-1) (x^2+y^2)=a x^2   a=0

[Relation56]
Relation = (x-1) (x^2+y^2)=x^2
Style = 5
Color = 0x000066FF
Visible = 0
LegendText = Conchoid of de Sluze (6):  (x-1) (x^2+y^2)=a x^2   a=1

[Relation57]
Relation = (x-1) (x^2+y^2)=4 x^2
Style = 5
Color = 0x0090A9AD
Visible = 0
LegendText = Conchoid of de Sluze (7):  (x-1) (x^2+y^2)=a x^2   a=4

[Relation58]
Relation = (x^2+y^2) (x-1)^2=16 x^2
Style = 5
Color = clRed
Visible = 0
LegendText = Conchoid of Nicomedes (1):  (x^2+y^2) (x-a)^2=b^2 x^2   a=1, b=4

[Func58]
FuncType = 2
r = 2+sec(t)
Visible = 0
LegendText = Conchoid of Nicomedes (2):  r(t)=a+b sec(t)   a=2, b=1  [b/a<1]
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func59]
FuncType = 2
r = 2+2 sec(t)
Visible = 0
LegendText = Conchoid of Nicomedes (3):  r(t)=a+b sec(t)   a=b=2  [b/a=1]
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func60]
FuncType = 2
r = 2+4 sec(t)
Visible = 0
LegendText = Conchoid of Nicomedes (4):  r(t)=a+b sec(t)   a=2, b=4  [b/a>1]
From = 0
To = 2pi
Steps = 1000
Color = 0x0066CC66

[Func61]
FuncType = 1
x = 4 (1-2 sin(t)^2) cos(t)
y = 4 (1+2 cos(t)^2) sin(t)
Visible = 0
LegendText = Cornoid:  x(t)=a (1-2 sin(t)^2) cos(t), y(t)=a (1+2 cos(t)^2) sin(t)   a=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation59]
Relation = y=csc(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Cosecant Function:  y=csc(x)

[Relation60]
Relation = y=cos(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Cosine Function:  y=cos(x)

[Relation61]
Relation = y=cot(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Cotangent Function:  y=cot(x)

[Func62]
FuncType = 2
r = 8/cosh(t/4)
Visible = 0
LegendText = Cotes' Spiral (1):  r(t)=a/cosh(n t)   a=8, n=1/4
From = 0
To = 20pi
Steps = 1000
Color = clBlue

[Func63]
FuncType = 2
r = 8/cosh(t/10)
Visible = 0
LegendText = Cotes' Spiral (2):  r(t)=a/cosh(n t)   a=8, n=1/10
From = 0
To = 20pi
Steps = 1000
Color = 0x0000CCFF

[Relation62]
Relation = (x^2-4 y)^2=16 (x^2-y^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Cramer's Curve (1):  (x^2-a y)^2=b^2 (x^2-y^2)   a=4, b=4

[Relation63]
Relation = (x^2-4 y)^2=(x^2-y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cramer's Curve (2):  (x^2-a y)^2=b^2 (x^2-y^2)   a=4, b=1

[Relation64]
Relation = (x^2-y)^2=16 (x^2-y^2)
Style = 5
Color = clRed
Visible = 0
LegendText = Cramer's Curve (3):  (x^2-a y)^2=b^2 (x^2-y^2)   a=1, b=4

[Func64]
FuncType = 2
r = sin(t)+sqrt(1-0.9 cos(t)^2)+sqrt(1-0.9 cos(t)^2)
Visible = 0
LegendText = Cranioid (1):  r(t)=a sin(t)+b sqrt(1-m cos(t)^2)+c sqrt(1-n cos(t)^2))   a=b=c=1, m=n=9/10
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func65]
FuncType = 2
r = sin(t)+2 sqrt(1-0.8 cos(t)^2)+2 sqrt(1-0.8 cos(t)^2)
Visible = 0
LegendText = Cranioid (2):  r(t)=a sin(t)+b sqrt(1-m cos(t)^2)+c sqrt(1-n cos(t)^2))   a=1, b=c=2, m=n=8/10
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func66]
FuncType = 2
r = sin(t)+sqrt(1-0.6 cos(t)^2)+4 sqrt(1-0.6 cos(t)^2)
Visible = 0
LegendText = Cranioid (3):  r(t)=a sin(t)+b sqrt(1-m cos(t)^2)+c sqrt(1-n cos(t)^2))   a=b=1, c=4, m=n=6/10
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Relation65]
Relation = (x^2+y^2)^2=4 (x^3+y^3)
Style = 5
Color = clBlue
Visible = 0
LegendText = Crooked Egg Curve (1):  (x^2+y^2)^2=a (x^3+y^3)   a=4

[Func67]
FuncType = 2
r = -6 (sin(t)^3+cos(t)^3)
Visible = 0
LegendText = Crooked Egg Curve (2):  r(t)=a (sin(t)^3+cos(t)^3)   a=-6
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func68]
FuncType = 2
r = min(3/(10 abs(sin(2 t))),2)
Visible = 0
LegendText = Cross (1):  r(t)=min(3/(10 abs(sin(2 t))),2)   (On-Bread Cross)
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func69]
FuncType = 2
r = max(3 cos(2 t)^2,0.6)
Visible = 0
LegendText = Cross (2):  r(t)=max(3 cos(2 t)^2,0.6)   (Leaf Cross)
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func70]
FuncType = 2
r = min(1/abs(cos(2 t)),4)
Visible = 0
LegendText = Cross (3):  r(t)=min(1/abs(cos(2 t)),4)   (St. Andrew's Cross)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func71]
FuncType = 2
r = min(3/(2 abs(sin(2 t))),5)
Visible = 0
LegendText = Cross (4):  r(t)=min(3/(2 abs(sin(2 t))),5)   (Catacomb Cross)
From = 0
To = 2pi
Steps = 1000
Color = 0x00969696

[Func72]
FuncType = 2
r = min(4/(2 sin(2 t))^4,6)
Visible = 0
LegendText = Cross (5):  r(t)=min(4/(2 sin(2 t)^4)),6)   (St. George's Cross)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func73]
FuncType = 2
r = 2/sin(2 t)
Visible = 0
LegendText = Cruciform Curve (1):  r(t)=a/sin(2 t)   a=2
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func74]
FuncType = 1
x = 2/sin(t)
y = 2/cos(t)
Visible = 0
LegendText = Cruciform Curve (2):  x(t)=a/sin(t), y(t)=b/cos(t)   a=2, b=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation66]
Relation = x^2*y^2-9 x^2-9 y^2=0
Style = 5
Color = clGreen
Visible = 0
LegendText = Cruciform Curve (3):  x^2 y^2-a^2 x^2-b^2 y^2=0   a=3, b=3

[Relation67]
Relation = y=x*(x-4) (x-2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cubical Hyperbola (1):  y=a (x-b) (x-c) (x-d)   a=1, b=0, c=4, d=2

[Relation68]
Relation = y=(x-3) (x-4) (x-5)/2
Style = 5
Color = clRed
Visible = 0
LegendText = Cubical Hyperbola (2):  y=a (x-b) (x-c) (x-d)   a=1/2, b=3, c=4, d=5

[Relation69]
Relation = y=-(x-1) (x-6) (x+4)/8
Style = 5
Color = clBlue
Visible = 0
LegendText = Cubical Hyperbola (3):  y=a (x-b) (x-c) (x-d)   a=-1/8, b=1, c=6, d=-4

[Relation70]
Relation = y=x^3/4
Style = 5
Color = clBlue
Visible = 0
LegendText = Cubical Parabola (1):  y=a (x-b)^3   a=1/4, b=0

[Relation71]
Relation = y=4 (x-4)^3
Style = 5
Color = clRed
Visible = 0
LegendText = Cubical Parabola (2):  y=a (x-b)^3   a=4, b=4

[Relation72]
Relation = y=-(x+6)^3
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cubical Parabola (3):  y=a (x-b)^3   a=-1, b=-6

[Func75]
FuncType = 1
x = t-0.5 sin(t)
y = 1-0.5 cos(t)
Visible = 0
LegendText = Curtate Cycloid (1):  x(t)=a t-b sin(t), y(t)=a-b cos(t)   a=1, b=1/2 (a>b)
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func76]
FuncType = 1
x = 1.5 t-sin(t)
y = 1.5 -cos(t)
Visible = 0
LegendText = Curtate Cycloid (2):  x(t)=a t-b sin(t), y(t)=a-b cos(t)   a=3/2, b=1 (a>b)
From = -20
To = 20
Steps = 1000
Color = 0x0000CCFF

[Func77]
FuncType = 2
r = 4 (1+cos(t/2)/2)
Visible = 0
LegendText = Cyclic-harmonic Curve (1):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=1/2
From = -2pi
To = 2pi
Steps = 1000
Color = clBlack

[Func78]
FuncType = 2
r = 4 (1+cos(3 t/2)/2)
Visible = 0
LegendText = Cyclic-harmonic Curve (2):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=3/2
From = -2pi
To = 2pi
Steps = 1000
Color = clGreen

[Func79]
FuncType = 2
r = 4 (1+cos(4 t)/2)
Visible = 0
LegendText = Cyclic-harmonic Curve (3):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func80]
FuncType = 2
r = 4 (1+cos(5 t/2)/2)
Visible = 0
LegendText = Cyclic-harmonic Curve (4):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=5/2
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func81]
FuncType = 2
r = 4 (1+cos(9 t/4)/2)
Visible = 0
LegendText = Cyclic-harmonic Curve (5):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=9/4
From = -4pi
To = 4pi
Steps = 1000
Color = 0x00D7D7D7

[Func82]
FuncType = 2
r = 3 (1+cos(2 t))
Visible = 0
LegendText = Cyclic-harmonic Curve (6):  r(t)=a (1+b cos(n t))   a=3, b=1, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = 0x003399CC

[Func83]
FuncType = 2
r = 3 (1+cos(2 t/3))
Visible = 0
LegendText = Cyclic-harmonic Curve (7):  r(t)=a (1+b cos(n t))   a=3, b=1, n=2/3
From = -4pi
To = 4pi
Steps = 1000
Color = clLime

[Func84]
FuncType = 2
r = 3 (1+cos(4 t/3))
Visible = 0
LegendText = Cyclic-harmonic Curve (8):  r(t)=a (1+b cos(n t))   a=3, b=1, n=4/3
From = -4pi
To = 4pi
Steps = 1000
Color = 0x00FFCC66

[Func85]
FuncType = 2
r = 3 (1+cos(9 t/4))
Visible = 0
LegendText = Cyclic-harmonic Curve (9):  r(t)=a (1+b cos(n t))   a=3, b=1, n=9/4
From = -4pi
To = 4pi
Steps = 1000
Color = 0x00999933

[Func86]
FuncType = 2
r = 2 (1+2 cos(2 t))
Visible = 0
LegendText = Cyclic-harmonic Curve (10):  r(t)=a (1+b cos(n t))   a=2, b=2, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0066CC33

[Func87]
FuncType = 2
r = 2 (1+2 cos(5 t))
Visible = 0
LegendText = Cyclic-harmonic Curve (11):  r(t)=a (1+b cos(n t))   a=2, b=2, n=5
From = -2pi
To = 2pi
Steps = 1000
Color = 0x00FFCC99

[Func88]
FuncType = 2
r = 2 (1+2 cos(6 t/5))
Visible = 0
LegendText = Cyclic-harmonic Curve (12):  r(t)=a (1+b cos(n t))   a=2, b=2, n=6/5
From = -6pi
To = 6pi
Steps = 1000
Color = 0x0000CCFF

[Func89]
FuncType = 1
x = 0.6 (t-sin t)
y = 0.6 (1-cos t)
Visible = 0
LegendText = Cycloid (1):  x(t)=r (t-sin(t)), y(t)=r (1-cos(t))   r=0.6
From = -20
To = 20
Steps = 1000
Color = clRed

[Func90]
FuncType = 1
x = -(t-sin t)
y = -(1-cos t)
Visible = 0
LegendText = Cycloid (2):  x(t)=r (t-sin(t)), y(t)=r (1-cos(t))   r=-1
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func91]
FuncType = 1
x = 2 (t/2-sin(t/2))/2
y = 2 (1-cos(t/2))/2
Visible = 0
LegendText = Cycloid Catacaustic:  x(t)=a (t/2-sin(t/2))/2, y(t)=a (1-cos(t/2))/2   a=2
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func92]
FuncType = 2
r = 2 (1+2 cos(2 t))
Visible = 0
LegendText = Cycloid of Ceva (1):  r(t)=a (1+2 cos(2 t))   a=2
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation73]
Relation = (x^2+y^2)^3=(3 x^2-y^2)^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Cycloid of Ceva (2):  (x^2+y^2)^3=a^2 (3 x^2-y^2)^2   a=1

[Relation74]
Relation = y=e^(-0.5 x)*sin(2 x+1)
Style = 5
Color = clBlue
Visible = 0
LegendText = Damped Oscillations Curve (1):  y=a e^(-b x) sin(k x+m)   a=m=1, b=1/2, k=2

[Relation75]
Relation = y=e^(-0.25 x)*sin(x+1)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Damped Oscillations Curve (2):  y=a e^(-b x) sin(k x+m)   a=k=m=1, b=1/4

[Func93]
FuncType = 1
x = -1.5 re(cos(i)+t)
y = 1.5 im(sin(i)^3t)
Visible = 0
LegendText = *Damped Oscillations Curve (3):  x(t)=-a re(cos(i)+t), y(t)=b im(sin(i)^3t)   a=b=3/2
From = -20
To = 20
Steps = 1000
Color = 0x00339966

[Relation76]
Relation = x=e^(-y)+(y-1)
Style = 5
Color = clBlue
Visible = 0
LegendText = De Beaune's Curve (1):  x=a e^(-y/b)+(y-b)/c   a=b=c=1

[Relation77]
Relation = x=4 e^(-y)+(y-1)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = De Beaune's Curve (2):  x=a e^(-y/b)+(y-b)/c   a=4, b=c=1

[Relation78]
Relation = x=0.25 e^(-y)+(y-1)
Style = 5
Color = clGreen
Visible = 0
LegendText = De Beaune's Curve (3):  x=a e^(-y/b)+(y-b)/c   a=1/4, b=c=1

[Relation79]
Relation = x=0.25 e^(-y)+(y-1)/0.5
Style = 5
Color = clRed
Visible = 0
LegendText = De Beaune's Curve (4):  x=a e^(-y/b)+(y-b)/c   a=1/4, b=1, c=1/2

[Relation80]
Relation = y=log(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Decimal Logarithm Function:  y=log(x)

[Func94]
FuncType = 1
x = 2 (2 cos(t)+cos(2 t))
y = 2 (2 sin(t)-sin(2 t))
Visible = 0
LegendText = Deltoid (1):  x(t)=a (2 cos(t)+cos(2 t)), y(t)=a (2 sin(t)-sin(2 t))   a=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func95]
FuncType = 1
x = -e*(2 cos(t)+cos(2 t))
y = -e*(2 sin(t)-sin(2 t))
Visible = 0
LegendText = Deltoid (2):  x(t)=a (2 cos(t)+cos(2 t)), y(t)=a (2 sin(t)-sin(2 t))   a=-e
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation81]
Relation = (x^2+y^2)^2+18 (9) (x^2+y^2)-27 (3)^4=24 (x^3-3 x*y^2)
Style = 5
Color = clGreen
Visible = 0
LegendText = Deltoid (3):  (x^2+y^2)^2+18 a^2 (x^2+y^2)-27 a^4=8 a (x^3-3 x y^2)   a=3

[Relation82]
Relation = y^2*(y^2-1)=x^2*(x^2-4)
Style = 5
Color = clGreen
Visible = 0
LegendText = Devil's Curve (1):  y^2 (y^2-a^2)=x^2 (x^2-b^2)   a=1, b=2

[Func96]
FuncType = 2
r = sqrt(9+1/cos(2 t))
Visible = 0
LegendText = Devil's Curve (2):  r(t)=sqrt(b^2+a^2/cos(2 t))   a=1, b=3
From = 0
To = 2pi
Steps = 10000
Color = clBlue

[Relation83]
Relation = (y^2+x)^2=10 x*(2 y-x)
Style = 5
Color = clBlue
Visible = 0
LegendText = *Distorted Analemma:  (y^2-x)^2=a x (2 y-x)   a=10

[Func97]
FuncType = 2
r = t+csc t
Visible = 0
LegendText = *Distorted Conchoid of Nicomedes (1):  r(t)=a t+csc(t)   a=1
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func98]
FuncType = 2
r = t/2+csc t
Visible = 0
LegendText = *Distorted Conchoid of Nicomedes (2):  r(t)=a t+csc(t)   a=1/2
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func99]
FuncType = 2
r = t/5+csc t
Visible = 0
LegendText = *Distorted Conchoid of Nicomedes (3):  r(t)=a t+csc(t)   a=1/5
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func100]
FuncType = 2
r = t/10+csc t
Visible = 0
LegendText = *Distorted Conchoid of Nicomedes (4):  r(t)=a t+csc(t)   a=1/10
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func101]
FuncType = 1
x = cos(t) (sin(t)+cos(t))
y = 6 sin(t)
Visible = 0
LegendText = *Distorted Lemniscate (1):  x(t)=a cos(t) (sin(t)+cos(t)), y(t)=b sin(t)   a=1, b=6
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func102]
FuncType = 1
x = 6 cos(t) (sin(t)+cos(t))
y = sin(t)
Visible = 0
LegendText = *Distorted Lemniscate (2):  x(t)=a cos(t) (sin(t)+cos(t)), y(t)=b sin(t)   a=6, b=1
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func103]
FuncType = 1
x = 6 cos(t) (sin(t)+cos(t))
y = 6 sin(t)
Visible = 0
LegendText = *Distorted Lemniscate (3):  x(t)=a cos(t) (sin(t)+cos(t)), y(t)=b sin(t)   a=b=6
From = -10
To = 10
Steps = 1000
Color = 0x0066CC00

[Func104]
FuncType = 1
x = cos(t) (sin(t)+cos(t))
y = sin(t)
Visible = 0
LegendText = *Distorted Lemniscate (4):  x(t)=a cos(t) (sin(t)+cos(t)), y(t)=b sin(t)   a=b=1
From = -10
To = 10
Steps = 1000
Color = clRed

[Func105]
FuncType = 1
x = 6 sin(t)^3+cos(t)
y = 2 cos(t)^3+sin(t)
Visible = 0
LegendText = *Distorted Talbot's Curve (1):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=6, b=d=1, c=2
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Func106]
FuncType = 1
x = 6 sin(t)^3+3 cos(t)
y = 2 cos(t)^3+sin(t)
Visible = 0
LegendText = *Distorted Talbot's Curve (2):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=6, b=3, c=2, d=1
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func107]
FuncType = 1
x = 6 sin(t)^3+4 cos(t)
y = 2 cos(t)^3+sin(t)
Visible = 0
LegendText = *Distorted Talbot's Curve (3):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=6, b=4, c=2, d=1
From = -10
To = 10
Steps = 1000
Color = clRed

[Func108]
FuncType = 1
x = 6 sin(t)^3+6 cos(t)
y = 2 cos(t)^3+2 sin(t)
Visible = 0
LegendText = *Distorted Talbot's Curve (4):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=b=6, c=d=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func109]
FuncType = 2
r = 3 (1+sin(3 t)^2-cos(4 t))
Visible = 0
LegendText = *Double Boomerang:  r(t)=a (1+sin(3 t)^2-cos(4 t))   a=3
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func110]
FuncType = 2
r = 4 sin(t)^2
Visible = 0
LegendText = Double Egg (1):  r(t)=a sin(t)^2   a=4
From = 0
To = 2pi
Steps = 1000
Color = 0x0033CC33

[Func111]
FuncType = 2
r = 5 cos(t)^2
Visible = 0
LegendText = Double Egg (2):  r(t)=a cos(t)^2   a=5
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation84]
Relation = (x^2+y^2)^3=36 x^4
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Double Egg (3):  (x^2+y^2)^3=a^2 x^4   a=6

[Relation85]
Relation = (x^4+y^4)=25 x^2
Style = 5
Color = clBlue
Visible = 0
LegendText = *Doubled Bean Curve (1):  (x^4+y^4)=a^2 x^2   a=5

[Relation86]
Relation = (x^4+y^4)=36 y^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = *Doubled Bean Curve (2):  (x^4+y^4)=a^2 y^2   a=6

[Func112]
FuncType = 2
r = 3 (abs(cos(t/4))^3+abs(cos(t/2)))^(3/2)
Visible = 0
LegendText = *Doubled Cardioid (1):  r(t)=k (abs(cos(t/4))^3+abs(cos(t/2)))^(3/2)   k=3
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func113]
FuncType = 2
r = -2 (abs(cos(t/4))^3+abs(cos(t/2)))^(3/2)
Visible = 0
LegendText = *Doubled Cardioid (2):  r(t)=k (abs(cos(t/4))^3+abs(cos(t/2)))^(3/2)   k=-2
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func114]
FuncType = 2
r = 3 sin(3 t)+(cos(3 t))^2
Visible = 0
LegendText = *Doubled n-Folium (1):  r(t)=a sin(b t)+(cos(b t))^2   a=3, b=3 (Trifolium)
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func115]
FuncType = 2
r = 4 sin(5 t)+(cos(5 t))^2
Visible = 0
LegendText = *Doubled n-Folium (2):  r(t)=a sin(b t)+(cos(b t))^2   a=4, b=5 (Pentafolium)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FF9966

[Func116]
FuncType = 2
r = 5 sin(7 t)+(cos(7 t))^2
Visible = 0
LegendText = *Doubled n-Folium (3):  r(t)=a sin(b t)+(cos(b t))^2   a=5, b=7 (Heptafolium)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func117]
FuncType = 2
r = 6 sin(9 t)+(cos(9 t))^2
Visible = 0
LegendText = *Doubled n-Folium (4):  r(t)=a sin(b t)+(cos(b t))^2   a=6, b=9 (Enneafolium)
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func118]
FuncType = 1
x = 2 cos(t)
y = 4 sin(t) cos(t)^2
Visible = 0
LegendText = Dumbbell Curve (1):  x(t)=a cos(t), y(t)=a^2 sin(t) cos(t)^2   a=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation87]
Relation = 1296 y^2=x^4*(36-x^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Dumbbell Curve (2):  a^4 y^2=x^4 (a^2-x^2)   a=6

[Func119]
FuncType = 2
r = 2/cos(t)^3
Visible = 0
LegendText = Duplicatrix Cubic (1):  r(t)=a/cos(t)^3   a=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func120]
FuncType = 1
x = 4 (1+t^2)
y = 4 t*(1+t^2)
Visible = 0
LegendText = Duplicatrix Cubic (2):  x(t)=a (1+t^2), y(t)=a t (1+t^2)   a=4
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation88]
Relation = x^3=(-1/2)*(x^2+y^2)
Style = 5
Color = clRed
Visible = 0
LegendText = Duplicatrix Cubic (3):  x^3=a (x^2+y^2)   a=-1/2

[Relation89]
Relation = (x y-y^2+16)^2=(16-y^2) (x+y-1)^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Dürer's Conchoid (1):  (x y-y^2+b^2)^2=(b^2-y^2) (x+y-a)^2   a=1, b=4 (a<b)

[Relation90]
Relation = (x y-y^2+36)^2=(36-y^2) (x+y-6)^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Dürer's Conchoid (2):  (x y-y^2+b^2)^2=(b^2-y^2) (x+y-a)^2   a=6, b=6 (a=b, cusp at (0,b))

[Relation91]
Relation = (x y-y^2+(pi)^2)^2=((pi)^2-y^2)*(x+y)^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Dürer's Conchoid (3):  (x y-y^2+b^2)^2=(b^2-y^2) (x+y-a)^2   a=0, b=pi (a=0)

[Relation92]
Relation = (x y-y^2)^2=(-y^2) (x+y-1)^2
Style = 5
Color = clBlack
Visible = 0
LegendText = Dürer's Conchoid (4):  (x y-y^2+b^2)^2=(b^2-y^2) (x+y-a)^2   a=1, b=0 (b=0, graph as y=0)

[Relation93]
Relation = (x^2+y^2)^2=8 x^3
Style = 5
Color = clBlue
Visible = 0
LegendText = *Egg Curve (1):  (x^2+y^2)^2=a x^3   a=8

[Relation94]
Relation = (x^2+y^2)^2=-6 y^3
Style = 5
Color = clGreen
Visible = 0
LegendText = *Egg Curve (2):  (x^2+y^2)^2=a y^3   a=-6

[Relation95]
Relation = x^2+y^2/(1+x/2)=1
Style = 5
Color = clBlue
Visible = 0
LegendText = Egg-like Cubic (1):  x^2+y^2/(1+a x)=1   a=1/2

[Relation96]
Relation = x^2+y^2/(1+x)=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Egg-like Cubic (2):  x^2+y^2/(1+a x)=1   a=1

[Relation97]
Relation = x^2+y^2/(1+2 x)=1
Style = 5
Color = clGreen
Visible = 0
LegendText = Egg-like Cubic (3):  x^2+y^2/(1+a x)=1   a=2

[Relation98]
Relation = x^2+y^2*(1+3 x/4)=1
Style = 5
Color = clRed
Visible = 0
LegendText = Egg-like Cubic (4):  x^2+y^2 (1+a x)=1   a=3/4

[Relation99]
Relation = x^2+y^2*(1+x)=1
Style = 5
Color = 0x00FFCC00
Visible = 0
LegendText = Egg-like Cubic (5):  x^2+y^2 (1+a x)=1   a=1

[Relation100]
Relation = x^2+y^2*(1+4 x)=1
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Egg-like Cubic (6):  x^2+y^2 (1+a x)=1   a=4

[Relation101]
Relation = x^2/36+y^2/16=1
Style = 5
Color = clGreen
Visible = 0
LegendText = Ellipse (1):  (x-a)^2/c^2+(y-b)^2/d^2=1   center (a,b)=(0,0), semimajor axis c=6, semiminor axis d=4

[Relation102]
Relation = (x-2)^2/16+(y-4)^2/9=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Ellipse (2):  (x-a)^2/c^2+(y-b)^2/d^2=1   center (a,b)=(2,4), semimajor axis c=4, semiminor axis d=3

[Func121]
FuncType = 1
x = 4 cos(t)
y = 2 sin(t)
Visible = 0
LegendText = Ellipse (3):  x(t)=c cos(t), y(t)=d sin(t)   c=4 (semimajor axis), d=2 (semiminor axis)
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func122]
FuncType = 2
r = 4/(1+0.5 cos(t))
Visible = 0
LegendText = Ellipse (4):  r(t)=a/(1+e cos(t))   a=4 (semilatus rectum), e=1/2 (eccentricity, 0<e<1)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Relation103]
Relation = (4 x)^(2/3)+(8 y)^(2/3)=4^(4/3)
Style = 5
Color = clGreen
Visible = 0
LegendText = Ellipse Evolute (1):  (a x)^(2/3)+(b y)^(2/3)=c^(4/3)   a=4, b=8, c=4

[Relation104]
Relation = (4 x)^(2/3)+(4 y)^(2/3)=4^(4/3)
Style = 5
Color = clBlue
Visible = 0
LegendText = Ellipse Evolute (2):  (a x)^(2/3)+(b y)^(2/3)=c^(4/3)   a=b=c=4

[Relation105]
Relation = (4 x)^(2/3)+(2 y)^(2/3)=4^(4/3)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Ellipse Evolute (3):  (a x)^(2/3)+(b y)^(2/3)=c^(4/3)   a=4, b=2, c=4

[Relation106]
Relation = (2 x)^(2/3)+(5 y)^(2/3)=(-21)^(2/3)
Style = 5
Color = 0x00FFCC00
Visible = 0
LegendText = Ellipse Evolute (4):  (a x)^(2/3)+(b y)^(2/3)=(a^2-b^2)^(2/3)   a=2, b=5

[Relation107]
Relation = y^2=x^3-2
Style = 5
Color = 0x0066CC99
Visible = 0
LegendText = Elliptic Curve (1):  y^2=x^3+a x+b   a=0, b=-2

[Relation108]
Relation = y^2=x^3+2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Elliptic Curve (2):  y^2=x^3+a x+b   a=0, b=2

[Relation109]
Relation = y^2=x^3-3 x+4
Style = 5
Color = clBlue
Visible = 0
LegendText = Elliptic Curve (3):  y^2=x^3+a x+b   a=-3, b=4

[Relation110]
Relation = y^2=x^3-4 x
Style = 5
Color = 0x00FFCC66
Visible = 0
LegendText = Elliptic Curve (4):  y^2=x^3+a x+b   a=-4, b=0

[Relation111]
Relation = y^2=x^3-x
Style = 5
Color = clRed
Visible = 0
LegendText = Elliptic Curve (5):  y^2=x^3+a x+b   a=-1, b=0

[Func123]
FuncType = 2
r = sqrt(cos(t)^2+4 sin(t)^2)
Visible = 0
LegendText = Elliptic Lemniscate (1):  r(t)=a (sqrt(b^2 cos(t)^2+c^2 sin(t)^2))   a=1, b=1, c=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation112]
Relation = (x^2+y^2)^2=x^2+16 y^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Elliptic Lemniscate (2):  (x^2+y^2)^2=a^2 x^2+b^2 y^2   a=1, b=4

[Relation113]
Relation = (16 x^2+y^2-4)^3=108 y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Elongated Nephroid (1):  (a^2 x^2+y^2-4)^3=108 y^2   a=4

[Relation114]
Relation = ((1/4) x^2+y^2-4)^3=108 y^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Elongated Nephroid (2):  (a^2 x^2+y^2-4)^3=108 y^2   a=1/2

[Func124]
FuncType = 1
x = 2 cos t-cos(2 t)
y = 2 sin t-sin(2 t)
Visible = 0
LegendText = Epicycloid (1):  x(t)=(a+b) cos(t)-b cos(t (a+b)/b), y(t)=(a+b) sin(t)-b sin(t (a+b)/b)   a=1, b=1 (a/b=1)
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func125]
FuncType = 1
x = 3 cos t-2 cos(3 t/2)
y = 3 sin t-2 sin(3 t/2)
Visible = 0
LegendText = Epicycloid (2):  x(t)=(a+b) cos(t)-b cos(t (a+b)/b), y(t)=(a+b) sin(t)-b sin(t (a+b)/b)   a=1, b=2 (a/b=1/2)
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Func126]
FuncType = 1
x = 3.5 cos t-2 cos(7 t/4)
y = 3.5 sin t-2 sin(7 t/4)
Visible = 0
LegendText = Epicycloid (3):  x(t)=(a+b) cos(t)-b cos(t (a+b)/b), y(t)=(a+b) sin(t)-b sin(t (a+b)/b)   a=1.5, b=2 (a/b=3/4)
From = -20
To = 20
Steps = 1000
Color = clRed

[Func127]
FuncType = 1
x = 5.5 cos t-cos(11 t/2)
y = 5.5 sin t-sin(11 t/2)
Visible = 0
LegendText = Epicycloid (4):  x(t)=(a+b) cos(t)-b cos(t (a+b)/b), y(t)=(a+b) sin(t)-b sin(t (a+b)/b)   a=4.5, b=1 (a/b=9/2)
From = -20
To = 20
Steps = 1000
Color = 0x000099FF

[Func128]
FuncType = 2
r = 1/cos(t/3)
Visible = 0
LegendText = Epispiral (1):  r(t)=1/cos(n t)   n=1/3 (Trisectrix of Maclaurin)
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func129]
FuncType = 2
r = 1/cos(t/2)
Visible = 0
LegendText = Epispiral (2):  r(t)=1/cos(n t)   n=1/2 (Trisectrix of Delange)
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func130]
FuncType = 2
r = 1/cos(2 t)
Visible = 0
LegendText = Epispiral (3):  r(t)=1/cos(n t)   n=2 (Cross Curve)
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func131]
FuncType = 2
r = 1/cos(3 t)
Visible = 0
LegendText = Epispiral (4):  r(t)=1/cos(n t)   n=3 (Trefoil Curve)
From = -2pi
To = 2pi
Steps = 1000
Color = 0x00FF9900

[Func132]
FuncType = 2
r = sec(4 t)
Visible = 0
LegendText = Epispiral (5):  r(t)=a sec(n t)   a=1, n=4
From = 0
To = 2pi
Steps = 1000
Color = 0x00669966

[Func133]
FuncType = 1
x = 4 cos(t)-0.6 cos(4 t)
y = 4 sin(t)-0.6 sin(4 t)
Visible = 0
LegendText = Epitrochoid (1):  x(t)=(a+b) cos(t)-c cos(t (a+b)/b), y(t)=(a+b) sin(t)-c sin(t (a+b)/b)   a=3, b=1, c=0.6
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func134]
FuncType = 1
x = 1.2 cos(t)-0.1 cos(6 t)
y = 1.2 sin(t)-0.1 sin(6 t)
Visible = 0
LegendText = Epitrochoid (2):  x(t)=(a+b) cos(t)-c cos(t (a+b)/b), y(t)=(a+b) sin(t)-c sin(t (a+b)/b)   a=1, b=0.2, c=0.1
From = -10
To = 10
Steps = 1000
Color = clBlack

[Func135]
FuncType = 1
x = 1.2 cos(t)-0.7 cos(6 t)
y = 1.2 sin(t)-0.7 sin(6 t)
Visible = 0
LegendText = Epitrochoid (3):  x(t)=(a+b) cos(t)-c cos(t (a+b)/b), y(t)=(a+b) sin(t)-c sin(t (a+b)/b)   a=1, b=0.2, c=0.7
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Func136]
FuncType = 1
x = 1.2 cos(t)-1.2 cos(6 t)
y = 1.2 sin(t)-1.2 sin(6 t)
Visible = 0
LegendText = Epitrochoid (4):  x(t)=(a+b) cos(t)-c cos(t (a+b)/b), y(t)=(a+b) sin(t)-c sin(t (a+b)/b)   a=1, b=0.2, c=1.2
From = -10
To = 10
Steps = 1000
Color = clRed

[Func137]
FuncType = 1
x = 1.4 cos(t)-0.6 cos(3.5 t)
y = 1.4 sin(t)-0.6 sin(3.5 t)
Visible = 0
LegendText = Epitrochoid (5):  x(t)=(a+b) cos(t)-c cos(t (a+b)/b), y(t)=(a+b) sin(t)-c sin(t (a+b)/b)   a=1, b=0.4, c=0.6
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func138]
FuncType = 1
x = 3.2 cos(t)-3 cos(16 t)
y = 3.2 sin(t)-3 sin(16 t)
Visible = 0
LegendText = Epitrochoid (6):  x(t)=(a+b) cos(t)-c cos(t (a+b)/b), y(t)=(a+b) sin(t)-c sin(t (a+b)/b)   a=3, b=0.2, c=3
From = -10
To = 10
Steps = 1000
Color = clMedGray

[Func139]
FuncType = 1
x = 4 (integrate(sin(t^2/2),0,t))
y = 4 (integrate(cos(t^2/2),0,t))
Visible = 0
LegendText = Euler's Spiral:  x(t)=a (integrate(sin(t^2/2),0,t)), y(t)=a (integrate(cos(t^2/2),0,t))   a=3
From = -10
To = 10
Steps = 1000
Color = clRed

[Func140]
FuncType = 2
r = 2 (e^cos(t)-2 cos(4 t)+sin(t/12)^5)
Visible = 0
LegendText = Exponential Butterfly Curve:  r(t)=a (e^cos(t)-2 cos(4 t)+sin(t/12)^5)   a=2
From = -8pi
To = 8pi
Steps = 1000
Color = clBlue

[Relation115]
Relation = y=pi^x
Style = 5
Color = clBlue
Visible = 0
LegendText = Exponential Function (1):  y=a^x   a=pi

[Relation116]
Relation = y=(0.25)^x
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Exponential Function (2):  y=a^x   a=1/4

[Relation117]
Relation = x+y=1
Style = 5
Color = clBlue
Visible = 0
LegendText = Fermat's Curve (1):  x^n+y^n=1   n=1 (Straight Line)

[Relation118]
Relation = x^2+y^2=1
Style = 5
Color = clRed
Visible = 0
LegendText = Fermat's Curve (2):  x^n+y^n=1   n=2 (Circle)

[Relation119]
Relation = x^3+y^3=1
Style = 5
Color = clGreen
Visible = 0
LegendText = Fermat's Curve (3):  x^n+y^n=1   n=3

[Relation120]
Relation = x^4+y^4=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Fermat's Curve (4):  x^n+y^n=1   n=4

[Func141]
FuncType = 2
r = -2 sqrt(t)
Visible = 0
LegendText = Fermat's Spiral (1):  r(t)=a sqrt(t)   a=-2
From = 0
To = 20pi
Steps = 1000
Color = clBlue

[Func142]
FuncType = 2
r = (e/2)*sqrt(t)
Visible = 0
LegendText = Fermat's Spiral (2):  r(t)=a sqrt(t)   a=e/2
From = 0
To = 60pi
Steps = 1000
Color = 0x0000CCFF

[Func143]
FuncType = 2
r = sqrt(t)
Visible = 0
LegendText = Fermat's Spiral (3):  r(t)=a sqrt(t)   a=1
From = 0
To = 60pi
Steps = 1000
Color = clGreen

[Func144]
FuncType = 1
x = 1.5 (cos(t)+1.5 cos(t/2))
y = 1.5 sin(t)
Visible = 0
LegendText = Fish Curve (1):  x(t)=a (cos(t)+b cos(t/2)), y(t)=a sin(t)   a=3/2, b=3/2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func145]
FuncType = 1
x = 1.5 (cos(t)+2 cos(t/2))
y = 1.5 sin(t)
Visible = 0
LegendText = Fish Curve (2):  x(t)=a (cos(t)+b cos(t/2)), y(t)=a sin(t)   a=3/2, b=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func146]
FuncType = 1
x = 1.5 (cos(t)+3 cos(t/2))
y = 1.5 sin(t)
Visible = 0
LegendText = Fish Curve (3):  x(t)=a (cos(t)+b cos(t/2)), y(t)=a sin(t)   a=3/2, b=3
From = -10
To = 10
Steps = 1000
Color = 0x00339966

[Func147]
FuncType = 1
x = 1.5 (cos(t)+4 cos(t/2))
y = 1.5 sin(t)
Visible = 0
LegendText = Fish Curve (4):  x(t)=a (cos(t)+b cos(t/2)), y(t)=a sin(t)   a=3/2, b=4
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Relation121]
Relation = (x^2+y^2) (x*(x+8)+y^2)=4 x y^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Folium (1):  (x^2+y^2) (x (x+b)+y^2)=4 a x y^2   a=1, b=8 (Single Folium: b>=4a)

[Relation122]
Relation = (x^2+y^2) (x^2+y^2)=12 x y^2
Style = 5
Color = clRed
Visible = 0
LegendText = Folium (2):  (x^2+y^2) (x (x+b)+y^2)=4 a x y^2   a=3, b=0 (Regular Bifolium: b=0)

[Relation123]
Relation = (x^2+y^2) (x*(x+5)+y^2)=24 x y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Folium (3):  (x^2+y^2) (x (x+b)+y^2)=4 a x y^2   a=6, b=5 (Trifolium: 0<b<4a)

[Relation124]
Relation = (x^2+y^2) (x*(x+8)+y^2)=16 x y^2
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Folium (4):  (x^2+y^2) (x (x+b)+y^2)=4 a x y^2   a=4, b=8 (Trefoil Curve: b/a=2)

[Func148]
FuncType = 2
r = cos(t) (-18 sin(t)^2+9)
Visible = 0
LegendText = Folium (5):  r(t)=cos(t) (4 a sin(t)^2-b)   a=-9/2, b=-9 (Trefoil Curve: b/a=2)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Func149]
FuncType = 1
x = 3 t/(1+t^3)
y = 3 t^2/(1+t^3)
Visible = 0
LegendText = Folium of Descartes (1):  x(t)=3 a t/(1+t^3), y(t)=3 a t^2/(1+t^3)   a=1
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func150]
FuncType = 2
r = 6 sin(t) cos(t)/(sin(t)^3+cos(t)^3)
Visible = 0
LegendText = Folium of Descartes (2):  r(t)=3 a sin(t) cos(t)/(sin(t)^3+cos(t)^3)   a=2
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Relation125]
Relation = x^3+y^3=3*pi*x y
Style = 5
Color = clBlue
Visible = 0
LegendText = Folium of Descartes (3):  x^3+y^3=3 a x y   a=pi

[Func151]
FuncType = 2
r = 8 sin(2 t)^3+cos(2 t)
Visible = 0
LegendText = *Four-blade Propeller:  r(t)=a sin(n t)^3+b cos(n t)   a=8, b=1, n=2
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation126]
Relation = x^6+y^8=4 x^4*y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = *Four-lobed X (1):  x^6+y^8=a x^4 y^2   a=4

[Relation127]
Relation = 36 y^2*(y^6-8 x^2)+x^6=0
Style = 5
Color = 0x0033CC66
Visible = 0
LegendText = *Four-lobed X (2):  a^2 y^2 (y^6-8 x^2)+x^6=0   a=6

[Relation128]
Relation = y=fract(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Fractional Part Function:  y=fract(x)

[Func152]
FuncType = 2
r = 2 (1+2 sin(t/2))
Visible = 0
LegendText = Freeth's Nephroid (1):  r(t)=a (1+2 sin(t/2))   a=2
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Relation129]
Relation = (x^2+y^2) (x^2+y^2-(-e)^2)^2=4 (-e)^2*(x^2+y^2+e*x)^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Freeth's Nephroid (2):  (x^2+y^2) (x^2+y^2-a^2)^2=4 a^2 (x^2+y^2-a x)^2   a=-e

[Relation130]
Relation = y=sqrt(2 pi)*e^(-x^2/2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Frequency Curve:  y=sqrt(2 pi) e^(-x^2/2)

[Func153]
FuncType = 2
r = t^2/24
Visible = 0
LegendText = Galileo's Spiral (1):  r(t)=a t^2-b   a=1/24, b=0
From = 0
To = 8pi
Steps = 1000
Color = clBlue

[Func154]
FuncType = 2
r = t^2/24-1
Visible = 0
LegendText = Galileo's Spiral (2):  r(t)=a t^2-b   a=1/24, b=1
From = 0
To = 8pi
Steps = 1000
Color = 0x0000CCFF

[Relation131]
Relation = y=gamma(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Gamma Function:  y=gamma(x)

[Func155]
FuncType = 1
x = 2 cos(t) (1+tanh(10 sin(t))/10)
y = 2 sin(t) (1+tanh(10 sin(t))/10)
Visible = 0
LegendText = Gear Curve (1):  x(t)=a cos(t) (b+tanh(c sin(n t))/c), y(t)=a sin(t) (b+tanh(c sin(n t))/c)   a=2, b=1, c=10, n=1
From = -10
To = 10
Steps = 1000
Color = clRed

[Func156]
FuncType = 1
x = 3 cos(t) (1+tanh(10 sin(2 t))/10)
y = 3 sin(t) (1+tanh(10 sin(2 t))/10)
Visible = 0
LegendText = Gear Curve (2):  x(t)=a cos(t) (b+tanh(c sin(n t))/c), y(t)=a sin(t) (b+tanh(c sin(n t))/c)   a=3, b=1, c=10, n=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func157]
FuncType = 1
x = 4 cos(t) (1+tanh(10 sin(4 t))/10)
y = 4 sin(t) (1+tanh(10 sin(4 t))/10)
Visible = 0
LegendText = Gear Curve (3):  x(t)=a cos(t) (b+tanh(c sin(n t))/c), y(t)=a sin(t) (b+tanh(c sin(n t))/c)   a=4, b=1, c=10, n=4
From = -10
To = 10
Steps = 1000
Color = 0x0033CC66

[Func158]
FuncType = 1
x = 5 cos(t) (1+tanh(10 sin(12 t))/10)
y = 5 sin(t) (1+tanh(10 sin(12 t))/10)
Visible = 0
LegendText = Gear Curve (4):  x(t)=a cos(t) (b+tanh(c sin(n t))/c), y(t)=a sin(t) (b+tanh(c sin(n t))/c)   a=5, b=1, c=10, n=12
From = -10
To = 10
Steps = 1000
Color = 0x00FF6633

[Func159]
FuncType = 2
r = 6 (sin(t)+cos(t)^3)
Visible = 0
LegendText = Generalized Bean Curve (1):  r(t)=a (sin(t)^m+cos(t)^n)   a=6, m=1, n=3
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func160]
FuncType = 2
r = 5 (sin(t)^3+cos(t)^5)
Visible = 0
LegendText = Generalized Bean Curve (2):  r(t)=a (sin(t)^m+cos(t)^n)   a=5, m=3, n=5
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func161]
FuncType = 2
r = 4 (sin(t)+cos(t)^2)
Visible = 0
LegendText = Generalized Bean Curve (3):  r(t)=a (sin(t)^m+cos(t)^n)   a=4, m=2, n=1
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func162]
FuncType = 2
r = 3 (sin(t)^5+cos(t)^4)
Visible = 0
LegendText = Generalized Bean Curve (4):  r(t)=a (sin(t)^m+cos(t)^n)   a=3, m=5, n=4
From = 0
To = 2pi
Steps = 1000
Color = 0x0033CC66

[Func163]
FuncType = 2
r = 7 (sin(5 t/8) (abs(cos(3 t)^1)+abs(sin(3 t)^1))^-1)
Visible = 0
LegendText = Generalized Gielis' Curve (1):  r(t)=a (sin(m t) (abs(cos(n t)^b)+abs(sin(n t)^c))^d)   a=7, m=5/8, b=c=1, d=-1, n=3
From = -8pi
To = 8pi
Steps = 10000
Color = clBlue

[Func164]
FuncType = 2
r = 7 (sin(3 t/7) (abs(cos(3 t/7)^1)+abs(sin(3 t/7)^1))^-1)
Visible = 0
LegendText = Generalized Gielis' Curve (2):  r(t)=a (sin(m t) (abs(cos(n t)^b)+abs(sin(n t)^c))^d)   a=7, m=n=3/7, b=c=1, d=-1
From = -4pi
To = 4pi
Steps = 10000
Color = 0x0066CC66

[Func165]
FuncType = 2
r = 18 (sin(3 t/5) (abs(cos(2 t/3)^-1)+abs(sin(2 t/3)^-1))^-1)
Visible = 0
LegendText = Generalized Gielis' Curve (3):  r(t)=a (sin(m t) (abs(cos(n t)^b)+abs(sin(n t)^c))^d)   a=18, m=3/5, b=c=d=-1, n=2/3
From = -8pi
To = 8pi
Steps = 10000
Color = 0x0033CCFF

[Func166]
FuncType = 2
r = 6 (cos(t) sin(2 t))
Visible = 0
LegendText = Generalized Regular Bifolium (1):  r(t)=a (cos(t) sin(b t)^n)   a=6, b=2, n=1
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func167]
FuncType = 2
r = 8 (cos(t) sin(12 t)^2)
Visible = 0
LegendText = Generalized Regular Bifolium (2):  r(t)=a (cos(t) sin(b t)^n)   a=8, b=12, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func168]
FuncType = 2
r = 6 (cos(t) sin(10 t)^3)
Visible = 0
LegendText = Generalized Regular Bifolium (3):  r(t)=a (cos(t) sin(b t)^n)   a=6, b=10, n=3
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0066CC00

[Relation132]
Relation = (abs(x/5))^(1/2)+(abs(y/5))=1
Style = 5
Color = clRed
Visible = 0
LegendText = Generalized Superellipse (1):  (abs(x/a))^m+(abs(y/b))^n=1   a=b=5, m=1/2, b=1

[Relation133]
Relation = (abs(x/5))^(1/2)+(abs(y/5))^2=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Generalized Superellipse (2):  (abs(x/a))^m+(abs(y/b))^n=1   a=b=5, m=1/2, n=2

[Relation134]
Relation = (abs(x/5))+(abs(y/5))^2=1
Style = 5
Color = clBlue
Visible = 0
LegendText = Generalized Superellipse (3):  (abs(x/a))^m+(abs(y/b))^n=1   a=b=5, m=1, n=2

[Relation135]
Relation = (abs(x/5))^(1/2)+(abs(y/5))^8=1
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Generalized Superellipse (4):  (abs(x/a))^m+(abs(y/b))^n=1   a=b=5, m=1/2, n=8

[Func169]
FuncType = 2
r = 4 (1+cos(2 t/3)/2)
Visible = 0
LegendText = Geometric Petal (1):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=2/3
From = -3pi
To = 3pi
Steps = 1000
Color = clGreen

[Func170]
FuncType = 2
r = (1+6 cos(2 t/3))
Visible = 0
LegendText = Geometric Petal (2):  r(t)=a (1+b cos(n t))   a=1, b=6, n=2/3
From = -4pi
To = 4pi
Steps = 1000
Color = 0x00FFCC00

[Func171]
FuncType = 2
r = 4 (1+cos(3 t)/2)
Visible = 0
LegendText = Geometric Petal (3):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=3
From = -3pi
To = 3pi
Steps = 1000
Color = clBlue

[Func172]
FuncType = 2
r = (1+6 cos(3 t))
Visible = 0
LegendText = Geometric Petal (4):  r(t)=a (1+b cos(n t))   a=1, b=6, n=3
From = -3pi
To = 3pi
Steps = 1000
Color = 0x0000CCFF

[Func173]
FuncType = 2
r = 4 (1+cos(6 t)/2)
Visible = 0
LegendText = Geometric Petal (5):  r(t)=a (1+b cos(n t))   a=4, b=1/2, n=6
From = -3pi
To = 3pi
Steps = 1000
Color = clRed

[Func174]
FuncType = 2
r = (1+6 cos(6 t))
Visible = 0
LegendText = Geometric Petal (6):  r(t)=a (1+b cos(n t))   a=1, b=6, n=6
From = -3pi
To = 3pi
Steps = 1000
Color = 0x0066CC66

[Func175]
FuncType = 2
r = 3 ((abs(sin(3 t/4)))+(abs(cos(3 t/4))))^(-3)
Visible = 0
LegendText = Gielis' Curve (1):  r(t)=a (((abs(sin(n t)))^b+(abs(cos(n t)))^c)^d   a=3, b=c=1, d=-3, n=3/4
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0066CC66

[Func176]
FuncType = 2
r = 3 ((abs(sin(3 t/4)))+(abs(cos(3 t/4))))^(-7/9)
Visible = 0
LegendText = Gielis' Curve (2):  r(t)=a (((abs(sin(n t)))^b+(abs(cos(n t)))^c)^d   a=3, b=c=1, d=-7/9, n=3/4
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func177]
FuncType = 2
r = 3 ((abs(sin(3 t/4)))^10+(abs(cos(3 t/4)))^10)^(-2/9)
Visible = 0
LegendText = Gielis' Curve (3):  r(t)=a (((abs(sin(n t)))^b+(abs(cos(n t)))^c)^d   a=3, b=c=10, d=-2/9, n=3/4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func178]
FuncType = 2
r = 5 ((abs(sin(7 t/4)))^6+(abs(cos(7 t/4)))^6)^(-1/10)
Visible = 0
LegendText = Gielis' Curve (4):  r(t)=a (((abs(sin(n t)))^b+(abs(cos(n t)))^c)^d   a=5, b=c=6, d=-1/10, n=7/4
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Relation136]
Relation = y=6 e^(-2 e^(-2 x))
Style = 5
Color = clBlue
Visible = 0
LegendText = Gompertz Curve (1):  y=l+u e^(-a e^(-b x))   l=0 (lower asymptote), u=6 (upper asymptote), a=2, b=2

[Relation137]
Relation = y=-5+10 e^(-2 e^(-2 x))
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Gompertz Curve (2):  y=l+u e^(-a e^(-b x))   l=-5, u=10, a=2, b=2

[Relation138]
Relation = y=-6+6 e^(-2 e^(-2 x))
Style = 5
Color = clGreen
Visible = 0
LegendText = Gompertz Curve (3):  y=l+u e^(-a e^(-b x))   l=-6, u=6, a=2, b=2

[Relation139]
Relation = x^2*y^2=x*(1-x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Granville's Egg (1):  x^2 y^2=(x-a) (1-x)   a=0

[Relation140]
Relation = x^2*y^2=(x-2) (1-x)
Style = 5
Color = clRed
Visible = 0
LegendText = Granville's Egg (2):  x^2 y^2=(x-a) (1-x)   a=2

[Relation141]
Relation = x^2*y^2=(x-8) (1-x)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Granville's Egg (3):  x^2 y^2=(x-a) (1-x)   a=8

[Func179]
FuncType = 2
r = (1+cos(3 t)+sin(3 t)^2)
Visible = 0
LegendText = Habenicht's Curve (1):  r(t)=a (b+cos(n t)+sin(n t)^2)   a=1, b=1, n=3
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func180]
FuncType = 2
r = 2 (1+cos(4 t)+sin(4 t)^2)
Visible = 0
LegendText = Habenicht's Curve (2):  r(t)=a (b+cos(n t)+sin(n t)^2)   a=2, b=1, n=4
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func181]
FuncType = 2
r = 2 (2+cos(5 t)+sin(5 t)^2)
Visible = 0
LegendText = Habenicht's Curve (3):  r(t)=a (b+cos(n t)+sin(n t)^2)   a=2, b=2, n=5
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func182]
FuncType = 2
r = 3 (1+cos(6 t)+sin(6 t)^2)
Visible = 0
LegendText = Habenicht's Curve (4):  r(t)=a (1+cos(n t)+sin(n t)^2)   a=3, n=6
From = 0
To = 2pi
Steps = 1000
Color = 0x0033CC33

[Func183]
FuncType = 1
x = 4 (cos(t)+sin(t)^2)
y = 4 (sin(t)+cos(t)^2)
Visible = 0
LegendText = *Hanger-like Function:  x(t)=a (cos(t)+sin(t)^2), y(t)=b (sin(t)+cos(t)^2)   a=b=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation142]
Relation = (x^2+y^2-1)^3-x^2*y^3=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Heart Curve (1):  (x^2+y^2-1)^3-x^2 y^3=0

[Func184]
FuncType = 1
x = 5 sin(t) cos(t) ln(abs(t))
y = 5 sqrt(cos(t)) (abs(t))^(0.3)
Visible = 0
LegendText = Heart Curve (2):  x(t)=a sin(t) cos(t) ln(abs(t)), y(t)=a sqrt(cos(t)) (abs(t))^(3/10)   a=5
From = -1
To = 1
Steps = 1000
Color = 0x0000CCFF

[Relation143]
Relation = x^2+(y-2 (x^2+abs(x)-6)/3 (x^2+abs(x)+2))^2=36
Style = 5
Color = 0x0066CC33
Visible = 0
LegendText = Heart Curve (3):  x^2+(y-2 (x^2+abs(x)-6)/3 (x^2+abs(x)+2))^2=36

[Relation144]
Relation = (x^2+y^2)^2+12 (3-1) (x^2+y^2)=36 x^2
Style = 5
Color = clBlack
Visible = 0
LegendText = Hippopede (1):  (x^2+y^2)^2+4 b (b-a) (x^2+y^2)=4 b^2 x^2   a=1, b=3

[Relation145]
Relation = (x^2+y^2)^2+12 (3-2) (x^2+y^2)=36 x^2
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Hippopede (2):  (x^2+y^2)^2+4 b (b-a) (x^2+y^2)=4 b^2 x^2   a=2, b=3

[Relation146]
Relation = (x^2+y^2)^2+12 (3-3) (x^2+y^2)=36 x^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Hippopede (3):  (x^2+y^2)^2+4 b (b-a) (x^2+y^2)=4 b^2 x^2   a=3, b=3

[Relation147]
Relation = (x^2+y^2)^2+12 (3-4) (x^2+y^2)=36 x^2
Style = 5
Color = 0x00FFCC33
Visible = 0
LegendText = Hippopede (4):  (x^2+y^2)^2+4 b (b-a) (x^2+y^2)=4 b^2 x^2   a=4, b=3

[Func185]
FuncType = 2
r = (12 (5-3 sin(t)^2))^(1/2)
Visible = 0
LegendText = Hippopede (5):  r(t)=a ((4 c (b-c sin(t)^2))^(1/2))   a=1, b=5, c=3
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Relation148]
Relation = y=x^(-1)*e^x
Style = 5
Color = clBlue
Visible = 0
LegendText = Hoerl Curve:  y=(x^n) (e^x)   n=-1

[Func186]
FuncType = 1
x = (sqrt(36-sin(t)^2)+cos(t)) cos(t)
y = 4 sin(t)
Visible = 0
LegendText = Hügelschäffer Egg:  x(t)=a (sqrt(b^2-c^2 sin(t)^2)+c cos(t)) cos(t), y(t)=a (d sin(t))   a=1, b=6, c=1, d=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation149]
Relation = x^2/16-y^2=1
Style = 5
Color = clGreen
Visible = 0
LegendText = Hyperbola (1):  (x-a)^2/c^2-(y-b)^2/d^2=1   center (a,b)=(0,0), c=4 (semimajor axis), d=1 (semiminor axis)

[Relation150]
Relation = (x+2)^2/9-4 (y-4)^2/4=1
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbola (2):  (x-a)^2/c^2-(y-b)^2/d^2=1   center (a,b)=(-2,4), c=3 (semimajor axis), d=1/2 (semiminor axis)

[Func187]
FuncType = 1
x = pi*sec(t)
y = e*tan(t)
Visible = 0
LegendText = Hyperbola (3):  x(t)=c sec(t)+a, y(t)=d tan(t)+b   center (a,b)=(0,0), c=pi (semimajor axis), d=e (semiminor axis)
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func188]
FuncType = 2
r = 1/(1+2 cos(t))
Visible = 0
LegendText = Hyperbola (4):  r(t)=a/(1+e cos(t))   a=1 (semilatus rectum), e=2 (eccentricity, e>1)
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Relation151]
Relation = x^(2/3)-y^(2/3)=2^(2/3)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbola Evolute (1):  (a x)^(2/3)-(b y)^(2/3)=(a^2+b^2)^(2/3)   a=b=1

[Relation152]
Relation = (x/2)^(2/3)-(y/2)^(2/3)=(1/2)^(2/3)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Hyperbola Evolute (2):  (a x)^(2/3)-(b y)^(2/3)=(a^2+b^2)^(2/3)   a=b=1/2

[Relation153]
Relation = y=csch(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbolic Cosecant Function:  y=csch(x)

[Relation154]
Relation = y=cosh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbolic Cosine Function:  y=cosh(x)

[Relation155]
Relation = y=coth(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbolic Cotangent Function:  y=coth(x)

[Relation156]
Relation = y=sech(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbolic Secant Function:  y=sech(x)

[Relation157]
Relation = y=sinh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbolic Sine Function:  y=sinh(x)

[Func189]
FuncType = 1
x = 8 cos(t)/t
y = 8 sin(t)/t
Visible = 0
LegendText = Hyperbolic Spiral (1):  x(t)=a cos(t)/t, y(t)=a sin(t)/t   a=8
From = 0
To = 20pi
Steps = 1000
Color = clRed

[Func190]
FuncType = 2
r = -2pi/t
Visible = 0
LegendText = Hyperbolic Spiral (2):  r(t)=a/t   a=-2pi
From = 0
To = 20pi
Steps = 1000
Color = clGreen

[Relation158]
Relation = y=tanh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Hyperbolic Tangent Function:  y=tanh(x)

[Func191]
FuncType = 1
x = 4 cos(t)+cos(4 t)
y = 4 sin(t)-sin(4 t)
Visible = 0
LegendText = Hypocycloid (1):  x(t)=(a-b) cos(t)+b cos(t (a-b)/b), y(t)=(a-b) sin(t)-b sin(t (a-b)/b)   a=5, b=1
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func192]
FuncType = 1
x = 3.3 cos(t)+3 cos(3.3 t/3)
y = 3.3 sin(t)-3 sin(3.3 t/3)
Visible = 0
LegendText = Hypocycloid (2):  x(t)=(a-b) cos(t)+b cos(t (a-b)/b), y(t)=(a-b) sin(t)-b sin(t (a-b)/b)   a=6.3, b=3
From = -50
To = 50
Steps = 1000
Color = 0x0000CCFF

[Func193]
FuncType = 1
x = 6.2 cos(t)+cos(6.2 t)
y = 6.2 sin(t)-sin(6.2 t)
Visible = 0
LegendText = Hypocycloid (3):  x(t)=(a-b) cos(t)+b cos(t (a-b)/b), y(t)=(a-b) sin(t)-b sin(t (a-b)/b)   a=7.2, b=1
From = -40
To = 40
Steps = 1000
Color = clRed

[Func194]
FuncType = 1
x = 3 cos(t)+cos(3 t)
y = 3 sin(t)-sin(3 t)
Visible = 0
LegendText = Hypotrochoid (1):  x(t)=(R-r) cos(t)+d cos(t (R-r)/r), y(t)=(R-r) sin(t)-d sin(t (R-r)/r)   R=4, r=1, d=1
From = -10
To = 10
Steps = 1000
Color = clNavy

[Func195]
FuncType = 1
x = 6 cos(t)+cos(6 t)
y = 6 sin(t)-sin(6 t)
Visible = 0
LegendText = Hypotrochoid (2):  x(t)=(R-r) cos(t)+d cos(t (R-r)/r), y(t)=(R-r) sin(t)-d sin(t (R-r)/r)   R=7, r=1, d=1
From = -10
To = 10
Steps = 1000
Color = 0x0099CC33

[Func196]
FuncType = 1
x = (10-15/2) cos(t)+(10/3) cos(2 t*(10-15/2)/15)
y = (10-15/2) sin(t)-(10/3) sin(2 t*(10-15/2)/15)
Visible = 0
LegendText = Hypotrochoid (3):  x(t)=(R-r) cos(t)+d cos(t (R-r)/r), y(t)=(R-r) sin(t)-d sin(t (R-r)/r)   R=10, r=15/2, d=10/3
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func197]
FuncType = 1
x = 4 cos(t)+4 cos(2 t)
y = 4 sin(t)-4 sin(2 t)
Visible = 0
LegendText = Hypotrochoid (4):  x(t)=(R-r) cos(t)+d cos(t (R-r)/r), y(t)=(R-r) sin(t)-d sin(t (R-r)/r)   R=6, r=2, d=4
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC66

[Func198]
FuncType = 1
x = 6 cos(t)+4 cos(t*6/4)
y = 6 sin(t)-4 sin(t*6/4)
Visible = 0
LegendText = Hypotrochoid (5):  x(t)=(R-r) cos(t)+d cos(t (R-r)/r), y(t)=(R-r) sin(t)-d sin(t (R-r)/r)   R=10, r=4, d=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation159]
Relation = y=acsc(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Cosecant Function:  y=acsc(x)

[Relation160]
Relation = y=acos(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Cosine Function:  y=acos(x)

[Relation161]
Relation = y=acot(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Cotangent Function:  y=acot(x)

[Relation162]
Relation = y=acsch(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Hyperbolic Cosecant Function:  y=acsch(x)

[Relation163]
Relation = y=acosh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Hyperbolic Cosine Function:  y=acosh(x)

[Relation164]
Relation = y=acoth(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Hyperbolic Cotangent Function:  y=acoth(x)

[Relation165]
Relation = y=asech(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Hyperbolic Secant Function:  y=asech(x)

[Relation166]
Relation = y=asinh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Hyperbolic Sine Function:  y=asinh(x)

[Relation167]
Relation = y=atanh(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Hyperbolic Tangent Function:  y=atanh(x)

[Relation168]
Relation = y=asec(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Secant Function:  y=asec(x)

[Relation169]
Relation = y=asin(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Sine Function:  y=asin(x)

[Relation170]
Relation = y=atan(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Inverse Tangent Function:  y=atan(x)

[Func199]
FuncType = 2
r = 2 ((2 cos(t)-1)/(2-cos(t)))
Visible = 0
LegendText = Jerabek's Curve (1):  r(t)=a ((b cos(t)-1)/(b-cos(t)))   a=2, b=2
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func200]
FuncType = 2
r = 2 ((cos(t)-1)/(1-cos(t)))
Visible = 0
LegendText = Jerabek's Curve (2):  r(t)=a ((b cos(t)-1)/(b-cos(t)))   a=2, b=1
From = -2pi
To = 2pi
Steps = 1000
Color = 0x00669966

[Func201]
FuncType = 2
r = 2 ((0.9 cos(t)-1)/(0.9-cos(t)))
Visible = 0
LegendText = Jerabek's Curve (3):  r(t)=a ((b cos(t)-1)/(b-cos(t)))   a=2, b=9/10
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func202]
FuncType = 2
r = 2 ((2 cos(t)/3-1)/((2/3)-cos(t)))
Visible = 0
LegendText = Jerabek's Curve (4):  r(t)=a ((b cos(t)-1)/(b-cos(t)))   a=2, b=2/3
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Relation171]
Relation = (x^2+y^2) (x-2)^2=0.01 (x^2+y^2-2 x)^2
Style = 5
Color = 0x00969696
Visible = 0
LegendText = Jerabek's Curve (5):  (x^2+y^2) (x-a)^2=b^2 (x^2+y^2-a x)^2   a=2, b=1/10

[Func203]
FuncType = 2
r = 2 sec(t)^2
Visible = 0
LegendText = Kampyle of Eudoxus (1):  r(t)=a sec(t)^2   a=2
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func204]
FuncType = 2
r = (e)^2/(2 cos(t)^2)
Visible = 0
LegendText = Kampyle of Eudoxus (2):  r(t)=b^2/(a cos(t)^2)   a=2, b=e
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func205]
FuncType = 1
x = 2pi sec(t)
y = 2pi tan(t)*sec(t)
Visible = 0
LegendText = Kampyle of Eudoxus (3):  x(t)=a sec(t), y(t)=a tan(t) sec(t)   a=2pi
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation172]
Relation = x^4=(x^2+y^2)
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Kampyle of Eudoxus (4):  a^2 x^4=b^4 (x^2+y^2)   a=1, b=1

[Relation173]
Relation = (x^2+y^2) (y-2.5)^2=4 x^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Kappa Curve (1):  (x^2+y^2) (y-a)^2=b^2 x^2   a=5/2, b=2

[Relation174]
Relation = (x^2+y^2) (y-2)^2=4 x^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Kappa Curve (2):  (x^2+y^2) (y-a)^2=b^2 x^2   a=2, b=2

[Relation175]
Relation = (x^2+y^2) (y-2)^2=(5/2)^2*x^2
Style = 5
Color = clRed
Visible = 0
LegendText = Kappa Curve (3):  (x^2+y^2) (y-a)^2=b^2 x^2   a=2, b=5/2

[Relation176]
Relation = (x^2+y^2) y^2=36 x^2
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Kappa Curve (4):  (x^2+y^2) (y-a)^2=b^2 x^2   a=0, b=6

[Func206]
FuncType = 2
r = pi*cot t
Visible = 0
LegendText = Kappa Curve (5):  r(t)=a cot(t)   a=pi
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func207]
FuncType = 1
x = 4 cos(t) cot(t)
y = 4 cos(t)
Visible = 0
LegendText = Kappa Curve (6):  x(t)=a cos(t) cot(t), y(t)=a cos(t)   a=4
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Relation177]
Relation = y^2=y*x^2+x^5
Style = 5
Color = clBlue
Visible = 0
LegendText = Keratoid Cusp (1):  y^2=a (y x^2+x^5)   a=1

[Relation178]
Relation = y^2=2 (y*x^2+x^5)
Style = 5
Color = clRed
Visible = 0
LegendText = Keratoid Cusp (2):  y^2=a (y x^2+x^5)   a=2

[Relation179]
Relation = y^2=4 (y*x^2+x^5)
Style = 5
Color = 0x0033CC33
Visible = 0
LegendText = Keratoid Cusp (3):  y^2=a (y x^2+x^5)   a=4

[Func208]
FuncType = 2
r = -4 (cos(3 t))^(1/2)
Visible = 0
LegendText = Kiepert's Curve (1):  r(t)=a (cos(3 t))^(1/2)   a=-4
From = -4pi
To = 4pi
Steps = 10000
Color = clBlue

[Relation180]
Relation = (x^2+y^2)^3=216 x*(x^2-3 y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Kiepert's Curve (2):  (x^2+y^2)^3=a^3 x (x^2-3 y^2)   a=6

[Relation181]
Relation = y=ln(abs(sin(x)/x))
Style = 5
Color = clBlue
Visible = 0
LegendText = Kilroy Curve:  y=ln(abs(sin(x)/x))

[Func209]
FuncType = 1
x = 6 cos(t)
y = 6 sin(t)^3
Visible = 0
LegendText = Kiss Curve (1):  x(t)=a cos(t), y(t)=a sin(t)^3   a=6
From = -10
To = 10
Steps = 1000
Color = clRed

[Relation182]
Relation = 256 y^2=(16-x^2)^3
Style = 5
Color = clBlue
Visible = 0
LegendText = Kiss Curve (2):  a^4 y^2=(a^2-x^2)^3   a=4

[Relation183]
Relation = y*x^3+y^3+x=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Klein's Curve:  y x^3+y^3+x=0

[Relation184]
Relation = (x^2-1)^2=y^2*(3+2 y)
Style = 5
Color = clBlue
Visible = 0
LegendText = Knot Curve:  (x^2-1)^2=y^2 (3+2 y)

[Func210]
FuncType = 1
x = 2 tan t
y = 2 cos t
Visible = 0
LegendText = Külp's Conchoid (1):  x(t)=a tan(t), y(t)=a cos(t)   a=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation185]
Relation = x^2*y^2=16 (16-y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Külp's Conchoid (2):  x^2 y^2=a^2 (a^2-y^2)   a=4

[Relation186]
Relation = x^2*y^2=(pi)^2*((pi)^2-x^2)
Style = 5
Color = 0x00669966
Visible = 0
LegendText = Külp's Conchoid (3):  x^2 y^2=a^2 (a^2-x^2)   a=pi

[Relation187]
Relation = y=W(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Lambert W-Function:  y=W(x)

[Func211]
FuncType = 2
r = 3 ((1+sin(t)) (1+0.3 cos(8 t)) (1+0.1 cos(24 t)))
Visible = 0
LegendText = Leaf Curve:  r(t)=((1+sin(t)) (1+0.3 cos(8 t)) (1+0.1 cos(24 t)))
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func212]
FuncType = 1
x = 4 cos(t)/(1+sin(t)^2)
y = 4 sin(t) cos(t)/(1+sin(t)^2)
Visible = 0
LegendText = Lemniscate of Bernoulli (1):  x(t)=a cos(t)/(1+sin(t)^2), y(t)=a sin(t) cos(t)/(1+sin(t)^2)   a=4
From = -10
To = 10
Steps = 1000
Color = clRed

[Func213]
FuncType = 2
r = 5 sqrt(cos(2 t))
Visible = 0
LegendText = Lemniscate of Bernoulli (2):  r(t)=a sqrt(cos(2 t))   a=5
From = -4pi
To = 4pi
Steps = 10000
Color = clBlue

[Relation188]
Relation = (x^2+y^2)^2=72 (x^2-y^2)
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Lemniscate of Bernoulli (3):  (x^2+y^2)^2=2 a^2 (x^2-y^2)   a=6

[Func214]
FuncType = 2
r = 5 (1-(2 sin(t)^2))^(1/2)
Visible = 0
LegendText = Lemniscate of Booth (1):  r(t)=a (1-(b sin(t)^2)^(1/2)   a=5, b=2 (b>1)
From = -4pi
To = 4pi
Steps = 10000
Color = 0x0000CCFF

[Relation189]
Relation = (x^2+y^2)^2=12 x^2-12 y^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Lemniscate of Booth (2):  (x^2+y^2)^2=a x^2+b y^2   a=12, b=-12 (b<0)

[Relation190]
Relation = (x^2+y^2)^2=14 y^2-112 x^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Lemniscate of Booth (3):  (x^2+y^2)^2=a y^2+b x^2   a=14, b=-12 (b<0)

[Func215]
FuncType = 1
x = 3 sin t
y = 3 sin(t) cos(t)
Visible = 0
LegendText = Lemniscate of Gerono (1):  x(t)=a sin t, y(t)=a sin(t) cos(t)   a=3
From = -10
To = 10
Steps = 1000
Color = clRed

[Func216]
FuncType = 2
r = 4 sqrt(cos(2 t)/cos(t)^4)
Visible = 0
LegendText = Lemniscate of Gerono (2):  r(t)=a sqrt(cos(2 t)/cos(t)^4)   a=4
From = -4pi
To = 4pi
Steps = 10000
Color = clBlue

[Func217]
FuncType = 2
r = 6 sqrt(cos(2 t) sec(t)^4)
Visible = 0
LegendText = Lemniscate of Gerono (3):  r(t)=a sqrt(cos(2 t) sec(t)^4)   a=6
From = -4pi
To = 4pi
Steps = 10000
Color = clGreen

[Relation191]
Relation = x^4=64 (x^2-y^2)
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Lemniscate of Gerono (4):  x^4=a^2 (x^2-y^2)   a=8

[Relation192]
Relation = 64 y^5=(25 x^2+20 y^2-20 y+4)^2
Style = 5
Color = clBlue
Visible = 0
LegendText = L'Hopital's Quintic:  64 y^5=a (25 x^2+20 y^2-20 a y+4 a^2)^2   a=1

[Func218]
FuncType = 2
r = 6+3 cos t
Visible = 0
LegendText = Limaçon (1):  r(t)=a+b cos(t)   a=6, b=3 (a>=2b)
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func219]
FuncType = 2
r = 4+3 cos t
Visible = 0
LegendText = Limaçon (2):  r(t)=a+b cos(t)   a=4, b=3 (2b>a>b)
From = 0
To = 2pi
Steps = 1000
Color = clMedGray

[Func220]
FuncType = 2
r = 3+3 cos t
Visible = 0
LegendText = Limaçon (3):  r(t)=a+b cos(t)   a=3, b=3 (Cardioid: a=b)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func221]
FuncType = 2
r = 2+3 cos t
Visible = 0
LegendText = Limaçon (4):  r(t)=a+b cos(t)   a=2, b=3 (a<b)
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func222]
FuncType = 2
r = 3+6 cos t
Visible = 0
LegendText = Limaçon (5):  r(t)=a+b cos(t)   a=3, b=6 (Limaçon Trisectrix: a=b/2)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func223]
FuncType = 2
r = 8 cos(t/3)
Visible = 0
LegendText = Limaçon (6):  r(t)=2 a cos(t/3)   a=4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlack

[Relation193]
Relation = (x^2+y^2-3 x)^2=4 x^2*(2-x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Links Curve:  (x^2+y^2-3 x)^2=4 x^2 (2-x)

[Func224]
FuncType = 1
x = 6 sin t
y = 6 sin(3 t)
Visible = 0
LegendText = Lissajous Curve (1):  x(t)=a sin(t), y(t)=b sin(n t+c)   a=6, b=6, n=3, c=0 (0<=b<=pi/2)
From = -10
To = 10
Steps = 1000
Color = 0x00CC9900

[Func225]
FuncType = 1
x = 6 sin t
y = 6 sin(3 t+pi/2)
Visible = 0
LegendText = Lissajous Curve (2):  x(t)=a sin(t), y(t)=b sin(n t+c)   a=6, b=6, n=3, c=pi/2 (0<=b<=pi/2)
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func226]
FuncType = 1
x = 6 sin t
y = 6 sin(5 t/2)
Visible = 0
LegendText = Lissajous Curve (3):  x(t)=a sin(t), y(t)=b sin(n t+c)   a=6, b=6, n=5/2, c=0 (0<=b<=pi/2)
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func227]
FuncType = 1
x = 6 sin t
y = 6 sin(8 t/5)
Visible = 0
LegendText = Lissajous Curve (4):  x(t)=a sin(t), y(t)=b sin(n t+c)   a=6, b=6, n=8/5, c=0 (0<=b<=pi/2)
From = -40
To = 40
Steps = 1000
Color = clBlue

[Func228]
FuncType = 2
r = pi/sqrt(t)
Visible = 0
LegendText = Lituus (1):  r(t)=a/sqrt(t)   a=pi
From = 0
To = 20pi
Steps = 1000
Color = clGreen

[Func229]
FuncType = 2
r = -2/sqrt(t)
Visible = 0
LegendText = Lituus (2):  r(t)=a/sqrt(t)   a=-2
From = 0
To = 20pi
Steps = 1000
Color = 0x0000CCFF

[Relation194]
Relation = y=ln(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Logarithmic Curve (1):  y=a ln(x/b)   a=1, b=1

[Relation195]
Relation = y=ln(x/pi)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Logarithmic Curve (2):  y=a ln(x/b)   a=1, b=pi

[Relation196]
Relation = y=ln(x/6)
Style = 5
Color = clRed
Visible = 0
LegendText = Logarithmic Curve (3):  y=a ln(x/b)   a=1, b=6

[Relation197]
Relation = y=(2^x) (2^(x^2))
Style = 5
Color = clRed
Visible = 0
LegendText = Logarithmic Parabola (1):  y=a^x b^(x^2)   a=2, b=2

[Relation198]
Relation = y=(4^x) (2^(x^2))
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Logarithmic Parabola (2):  y=a^x b^(x^2)   a=4, b=2

[Func230]
FuncType = 2
r = e^(t/8)
Visible = 0
LegendText = Logarithmic Spiral (1):  r(t)=a e^(b t)   a=1, b=1/8
From = 0
To = 20pi
Steps = 1000
Color = clGreen

[Func231]
FuncType = 2
r = 0.1 e^(t cot(1.4))
Visible = 0
LegendText = Logarithmic Spiral (2):  r(t)=a e^(t cot(b))   a=1/10, b=14/10
From = 0
To = 20pi
Steps = 1000
Color = 0x00FFCC00

[Func232]
FuncType = 1
x = e^(t/10)*cos(t)
y = e^(t/10)*sin(t)
Visible = 0
LegendText = Logarithmic Spiral (3):  x(t)=e^(a t) cos(t), y(t)=e^(a t) sin(t)   a=1/10
From = -40
To = 40
Steps = 1000
Color = 0x0000CCFF

[Relation199]
Relation = y=x*tan(4*log(sqrt(x^2+y^2)))
Style = 5
Color = clBlue
Visible = 0
LegendText = Logarithmic Spiral (4):  y=x tan(log(sqrt(x^2+y^2))/a)   a=1/4

[Relation200]
Relation = y=2/(1+0.5 e^(-4 x))
Style = 5
Color = clBlue
Visible = 0
LegendText = Logistic Function (1):  y=a/(1+b e^(-c x))   a=2, b=1/2, c=4

[Relation201]
Relation = y=4/(1+0.5 e^(-5 x))
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Logistic Function (2):  y=a/(1+b e^(-c x))   a=4, b=1/2, c=5

[Relation202]
Relation = y=6/(1+0.5 e^(-6 x))
Style = 5
Color = 0x0066CC00
Visible = 0
LegendText = Logistic Function (3):  y=a/(1+b e^(-c x))   a=6, b=1/2, c=6

[Func233]
FuncType = 2
r = 1/4 cos(t)+4 cos(t)/sin(t)^2
Visible = 0
LegendText = Longchamps' Cubic (1):  r(t)=a/cos(t)+b cos(t)/sin(t)^2   a=1/4, b=4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func234]
FuncType = 1
x = 1+1/2 tan(t)^2
y = tan(t)+1/2 tan(t)
Visible = 0
LegendText = Longchamps' Cubic (2):  x(t)=a+b/tan(t)^2, y(t)=a tan(t)+b/tan(t)   a=1, b=1/2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation203]
Relation = x*y^2=x^2+2 y^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Longchamps' Cubic (3):  x y^2=a x^2+b y^2   a=1, b=2

[Relation204]
Relation = x^6+y^9=2 y^2*x^4
Style = 5
Color = clRed
Visible = 0
LegendText = *Loop Curve (1):  x^6+y^9=a x^4 y^2   a=2

[Relation205]
Relation = x^6+y^9=4 x^4*y^2
Style = 5
Color = 0x0033CC66
Visible = 0
LegendText = *Loop Curve (2):  x^6+y^9=a x^4 y^2   a=4

[Relation206]
Relation = x^6-y^9=6 x^4*y^2
Style = 5
Color = 0x00FF9966
Visible = 0
LegendText = *Loop Curve (3):  x^6-y^9=a x^4 y^2   a=6

[Func235]
FuncType = 1
x = 4 (sin(t)^2+cos(t/2))
y = 4 sin(t)^2
Visible = 0
LegendText = *M-Function:  x(t)=a (sin(t)^2+cos(t/2)), y(t)=b sin(t)^2   a=b=4
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func236]
FuncType = 2
r = 1/sqrt(sin(4 t))
Visible = 0
LegendText = Maltese Cross Curve (1):  r(t)=1/sqrt(sin(4 t))
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Relation207]
Relation = (x^2-y^2) x y=x^2+y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Maltese Cross Curve (2):  (x^2-y^2) x y=x^2+y^2

[Relation208]
Relation = y^2-x^3=2
Style = 5
Color = clGreen
Visible = 0
LegendText = Mordell Curve (1):  y^2-x^3=a   a=2

[Relation209]
Relation = y^2-x^3=6
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Mordell Curve (2):  y^2-x^3=a   a=6

[Relation210]
Relation = y^2-x^3=12
Style = 5
Color = 0x00CC9933
Visible = 0
LegendText = Mordell Curve (3):  y^2-x^3=a   a=12

[Relation211]
Relation = y=ln(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Natural Logarithm Function:  y=ln(x)

[Relation212]
Relation = y=logb(x,2)
Style = 5
Color = clBlue
Visible = 0
LegendText = N-base Logarithm Function (1):   y=logb(x,n)   n=2

[Relation213]
Relation = y=logb(x,pi)
Style = 5
Color = clRed
Visible = 0
LegendText = N-base Logarithm Function (2):   y=logb(x,n)   n=pi

[Relation214]
Relation = y=logb(x,5)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = N-base Logarithm Function (3):   y=logb(x,n)   n=5

[Func237]
FuncType = 2
r = t/4+0.5
Visible = 0
LegendText = Neoid:  r(t)=a t+b   a=1/4, b=1/2
From = 0
To = 20pi
Steps = 1000
Color = clBlue

[Func238]
FuncType = 1
x = 1.5 (3 cos(t)-cos(3 t))
y = 1.5 (3 sin(t)-sin(3 t))
Visible = 0
LegendText = Nephroid (1):  x(t)=a (3 cos(t)-cos(3 t)), y(t)=a (3 sin(t)-sin(3 t))   a=3/2
From = -10
To = 10
Steps = 1000
Color = clRed

[Relation215]
Relation = (x^2+y^2-16)^3=(108) (16) y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Nephroid (2):  (x^2+y^2-4 a^2)^3=108 a^4 y^2   a=2

[Relation216]
Relation = 2 y^2=(x^2-4 x+2) x
Style = 5
Color = clRed
Visible = 0
LegendText = Newton's Diverging Parabola (1):  a y^2=(x^2-2 b x+c) x   a=2, b=2, c=2

[Relation217]
Relation = y^2=(x^2-4 x+3) x
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Newton's Diverging Parabola (2):  a y^2=(x^2-2 b x+c) x   a=1, b=2, c=3

[Relation218]
Relation = y^2=(x^2-2 x+2) x
Style = 5
Color = clBlue
Visible = 0
LegendText = Newton's Diverging Parabola (3):  a y^2=(x^2-2 b x+c) x   a=1, b=1, c=2

[Relation219]
Relation = -2 y^2=(x^2-2 x+1) x
Style = 5
Color = 0x00CCCC33
Visible = 0
LegendText = Newton's Diverging Parabola (4):  a y^2=(x^2-2 b x+c) x   a=-2, b=1, c=1

[Relation220]
Relation = 2 y^2=(x^2+2 x-1) x
Style = 5
Color = clGreen
Visible = 0
LegendText = Newton's Diverging Parabola (5):  a y^2=(x^2-2 b x+c) x   a=2, b=-1, c=1

[Relation221]
Relation = y^2=x*(x^2-1)
Style = 5
Color = clBlue
Visible = 0
LegendText = Newton's Egg Curve (1):  y^2=(x-a) (x^2-1)   a=0

[Relation222]
Relation = y^2=(x-2) (x^2-1)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Newton's Egg Curve (2):  y^2=(x-a) (x^2-1)   a=2

[Relation223]
Relation = y^2=(x+6) (x^2-1)
Style = 5
Color = 0x00669999
Visible = 0
LegendText = Newton's Egg Curve (3):  y^2=(x-a) (x^2-1)   a=-6

[Func239]
FuncType = 2
r = tan(t)
Visible = 0
LegendText = Nodal Curve (1):  r(t)=a tan(n t)   a=1, n=1 (Kappa Curve)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func240]
FuncType = 2
r = tan(2 t)
Visible = 0
LegendText = Nodal Curve (2):  r(t)=a tan(n t)   a=1, n=2 (Windmill Curve)
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func241]
FuncType = 2
r = tan(4 t)
Visible = 0
LegendText = Nodal Curve (3):  r(t)=a tan(n t)   a=1, n=4
From = 0
To = 2pi
Steps = 1000
Color = 0x00969696

[Func242]
FuncType = 2
r = tan(t/2)
Visible = 0
LegendText = Nodal Curve (4):  r(t)=a tan(n t)   a=1, n=1/2 (Right Strophoid)
From = 0
To = 2pi
Steps = 1000
Color = 0x0099CC66

[Func243]
FuncType = 2
r = tan(3 t/2)
Visible = 0
LegendText = Nodal Curve (5):  r(t)=a tan(n t)   a=1, n=3/2
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func244]
FuncType = 2
r = tan(t/3)
Visible = 0
LegendText = Nodal Curve (6):  r(t)=a tan(n t)   a=1, n=1/3
From = -6pi
To = 6pi
Steps = 1000
Color = 0x00FFCC00

[Func245]
FuncType = 2
r = cot(2 t/3)
Visible = 0
LegendText = Nodal Curve (7):  r(t)=a cot(n t)   a=1, n=2/3
From = -4pi
To = 4pi
Steps = 1000
Color = clBlack

[Func246]
FuncType = 2
r = cot(t/4)
Visible = 0
LegendText = Nodal Curve (8):  r(t)=a cot(n t)   a=1, n=1/4
From = -6pi
To = 6pi
Steps = 1000
Color = clLime

[Func247]
FuncType = 2
r = cot(5 t/4)
Visible = 0
LegendText = Nodal Curve (9):  r(t)=a cot(n t)   a=1, n=5/4
From = -6pi
To = 6pi
Steps = 1000
Color = 0x006699FF

[Func248]
FuncType = 2
r = cot(t/5)
Visible = 0
LegendText = Nodal Curve (10):  r(t)=a cot(n t)   a=1, n=1/5
From = -6pi
To = 6pi
Steps = 1000
Color = 0x00CBCBCB

[Func249]
FuncType = 2
r = cot(3 t/5)
Visible = 0
LegendText = Nodal Curve (11):  r(t)=a cot(n t)   a=1, n=3/5
From = -6pi
To = 6pi
Steps = 1000
Color = 0x0099CCFF

[Relation224]
Relation = y=dnorm(x,0,1)
Style = 5
Color = clBlue
Visible = 0
LegendText = Normal Distribution Function:  y=dnorm(x,mu,sigma)   mu=0, sigma=1

[Func250]
FuncType = 2
r = 2 (sin(3 t)+cos(3 t)^2)
Visible = 0
LegendText = *N-petalled Flower (1):  r(t)=a (sin(n t)+cos(n t)^2)   a=2, n=3 (Three petals)
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func251]
FuncType = 2
r = 4 (sin(5 t)+cos(5 t)^2)
Visible = 0
LegendText = *N-petalled Flower (2):  r(t)=a (sin(n t)+cos(n t)^2)   a=4, n=5 (Five petals)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func252]
FuncType = 2
r = 6 (sin(7 t)+cos(7 t)^2)
Visible = 0
LegendText = *N-petalled Flower (3):  r(t)=a (sin(n t)+cos(n t)^2)   a=6, n=7 (Seven petals)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func253]
FuncType = 2
r = 3 (1-sin(cos(6 t)^3))^(1/5)
Visible = 0
LegendText = *N-petalled Flower (4):  r(t)=a (1-sin(cos(n t)^3))^(1/m)   a=3, m=5, n=6
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func254]
FuncType = 2
r = 4 (1-sin(cos(8 t)^3))^(1/3)
Visible = 0
LegendText = *N-petalled Flower (5):  r(t)=a (1-sin(cos(n t)^3))^(1/m)   a=4, m=3, n=8
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func255]
FuncType = 2
r = 6 (1-sin(cos(10 t)^3))^(1/2)
Visible = 0
LegendText = *N-petalled Flower (6):  r(t)=a (1-sin(cos(n t)^3))^(1/m)   a=6, m=2, n=10
From = 0
To = 2pi
Steps = 1000
Color = 0x00969696

[Relation225]
Relation = y=root(3,x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Nth Root Function (1):  y=root(n,x)   n=3

[Relation226]
Relation = y=root(-3,x)
Style = 5
Color = clGreen
Visible = 0
LegendText = Nth Root Function (2):  y=root(n,x)   n=-3

[Relation227]
Relation = y=root(6,x)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Nth Root Function (3):  y=root(n,x)   n=6

[Func256]
FuncType = 2
r = 4 sin(t-pi/10)^2/cos(t)
Visible = 0
LegendText = Oblique Cissoid (1):  r(t)=a sin(t-b/2)^2/cos(t)   a=4, b=pi/5
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func257]
FuncType = 2
r = 4 sin(t-pi/4)^2/cos(t)
Visible = 0
LegendText = Oblique Cissoid (2):  r(t)=a sin(t-b/2)^2/cos(t)   a=4, b=pi/2
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func258]
FuncType = 2
r = 4 sin(t-3pi/8)^2/cos(t)
Visible = 0
LegendText = Oblique Cissoid (3):  r(t)=a sin(t-b/2)^2/cos(t)   a=4, b=3pi/4
From = -10
To = 10
Steps = 1000
Color = clRed

[Func259]
FuncType = 2
r = 4 sin((3pi/4)-2 t)/sin((3pi/4)-t)
Visible = 0
LegendText = Oblique Strophoid (1):  r(t)=a sin(b-2 t)/sin(b-t)   a=4, b=3pi/4
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func260]
FuncType = 2
r = 4 sin((2pi/5)-2 t)/sin((2pi/5)-t)
Visible = 0
LegendText = Oblique Strophoid (2):  r(t)=a sin(b-2 t)/sin(b-t)   a=4, b=2pi/5
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func261]
FuncType = 2
r = 4 sin((pi/5)-2 t)/sin((pi/5)-t)
Visible = 0
LegendText = Oblique Strophoid (3):  r(t)=a sin(b-2 t)/sin(b-t)   a=4, b=pi/5
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func262]
FuncType = 2
r = 4 sin((pi/40)-2 t)/sin((pi/40)-t)
Visible = 0
LegendText = Oblique Strophoid (4):  r(t)=a sin(b-2 t)/sin(b-t)   a=4, b=pi/40
From = 0
To = 2pi
Steps = 1000
Color = 0x00FF9966

[Func263]
FuncType = 2
r = (2 sin(t)-4 cos(t)) tan(t)
Visible = 0
LegendText = Ophiuride (1):  r(t)=(a sin(t)-b cos(t)) tan(t)   a=2, b=4
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Relation228]
Relation = x*(x^2+y^2)+y*(8 x-4 y)=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Ophiuride (2):  x (x^2+y^2)+y (a x-b y)=0   a=8, b=4

[Relation229]
Relation = (x^2+y^2)^2=42 x^2+20 y^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Oval of Booth (1):  (x^2+y^2)^2=a x^2+b y^2   a=42, b=20 (b>0)

[Func264]
FuncType = 2
r = 5 (1-(0.4 sin(t)^2))^(1/2)
Visible = 0
LegendText = Oval of Booth (2):  r(t)=a (sqrt(1-b sin(t)^2))   a=5, b=4/10 (Oval: b<1/2)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func265]
FuncType = 2
r = 4 (1-(0.7 sin(t)^2))^(1/2)
Visible = 0
LegendText = Oval of Booth (3):  r(t)=a (sqrt(1-b sin(t)^2))   a=4, b=7/10 (Indentated oval: 1/2<b<1)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func266]
FuncType = 2
r = 3 (1-(0.9 sin(t)^2))^(1/2)
Visible = 0
LegendText = Oval of Booth (4):  r(t)=a (sqrt(1-b sin(t)^2))   a=3, b=9/10 (Indentated oval: 1/2<b<1)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FFCC99

[Func267]
FuncType = 2
r = 2 sqrt(1-2 sin(t)^2)
Visible = 0
LegendText = Oval of Booth (5):  r(t)=a (sqrt(1-b sin(t)^2))   a=2, b=2 (Lemniscate: b>1)
From = 0
To = 4pi
Steps = 10000
Color = clBlue

[Relation230]
Relation = y^2=4 x
Style = 5
Color = clGreen
Visible = 0
LegendText = Parabola (1):  (y-b)^2=4 p (x-a)   vertex (a,b)=(0,0), focal distance p=1

[Relation231]
Relation = (y+4)^2=-4 e*(x-2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Parabola (2):  (y-b)^2=4 p (x-a)   vertex (a,b)=(2,-4), focal distance p=-e

[Func268]
FuncType = 2
r = 6 cos(t)/sin(t)^2
Visible = 0
LegendText = Parabola (3):  r(t)=2 p cos(t)/sin(t)^2   vertex (a,b)=(0,0), focal distance p=3
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func269]
FuncType = 1
x = t^2/4
y = t/2
Visible = 0
LegendText = Parabola (4):  x(t)=p t^2/2, y(t)=p t   focal distance p=1/2
From = -10
To = 10
Steps = 1000
Color = 0x003366FF

[Relation232]
Relation = x^2=8 (y+3)
Style = 5
Color = 0x003300CC
Visible = 0
LegendText = Parabola (5):  (x-a)^2=4 p (y-b)   vertex (a,b)=(0,-3), focal distance p=2

[Func270]
FuncType = 1
x = pi*tan t
y = (pi/2) tan(t)^2
Visible = 0
LegendText = Parabola (6):  x(t)=p tan t, y(t)=(p/2) tan(t)^2   focal distance p=pi
From = -10
To = 10
Steps = 1000
Color = 0x0099CC00

[Func271]
FuncType = 2
r = 1/(1+cos(t))
Visible = 0
LegendText = Parabola (7):  r(t)=a/(1+e cos(t))   a=1 (semilatus rectum), e=1 (eccentricity)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Relation233]
Relation = (2 x-1)^3=27 y^2/2
Style = 5
Color = clBlue
Visible = 0
LegendText = Parabola Evolute (1):  (2 x-a)^3=27 a y^2/2   a=1 (Semicubical Parabola)

[Relation234]
Relation = (2 x-2)^3=54 y^2/2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Parabola Evolute (2):  (2 x-a)^3=27 a y^2/2   a=2

[Relation235]
Relation = x^3=(x^2-y^2)+2 x*y
Style = 5
Color = clBlue
Visible = 0
LegendText = Parabolic Folium (1):  x^3=a (x^2-y^2)+b x y   a=1, b=2

[Func272]
FuncType = 2
r = 2/cos(t)-tan(t) (2 tan(t)+4)/cos(t)
Visible = 0
LegendText = Parabolic Folium (2):  r(t)=a/cos(t)-tan(t) (a tan(t)-b)/cos(t)   a=2, b=-4
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func273]
FuncType = 2
r = -8 sin(t) cos(2 t)/cos(t)^2
Visible = 0
LegendText = Parabolic Trifolium (1):  r(t)=a sin(t) cos(2 t)/cos(t)^2   a=-8
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func274]
FuncType = 1
x = 6 cos(2 t) tan(t)
y = 6 cos(2 t) tan(t)^2
Visible = 0
LegendText = Parabolic Trifolium (2):  x(t)=a cos(2 t) tan(t), y(t)=a cos(2 t) tan(t)^2   a=6
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation236]
Relation = x^2*(x^2+y^2)=2 y*(x^2-y^2)
Style = 5
Color = clRed
Visible = 0
LegendText = Parabolic Trifolium (3):  x^2 (x^2+y^2)=a y (x^2-y^2)   a=2

[Relation237]
Relation = x*(x^2+y^2)=2 (x^2+2 y^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Peano's Visiera:  x (x^2+y^2)=a (x^2+2 y^2)   a=2

[Func275]
FuncType = 2
r = 4 (abs(cos(t)^2)+abs(cos(t/2)))
Visible = 0
LegendText = *Pear Function (1):  r(t)=a (abs(cos(t)^2)+abs(cos(t/2)))   a=4
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func276]
FuncType = 2
r = -1.5 (abs(cos(t)^2)+abs(cos(t/2)))
Visible = 0
LegendText = *Pear Function (2):  r(t)=a (abs(cos(t)^2)+abs(cos(t/2)))   a=-3/2
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Relation238]
Relation = y^4=x^3*(5-x)^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Pearls of de Sluze (1):  y^a=k x^b (n-x)^c   a=4, b=3, c=2, k=1, n=5

[Relation239]
Relation = y^2=6 x^4*(2-x)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Pearls of de Sluze (2):  y^a=k x^b (n-x)^c   a=2, b=4, c=1, k=6, n=2

[Func277]
FuncType = 1
x = -(1.8 sin(t)-1.2 sin(6 t/4))
y = -(-1.8 cos(t)-1.2 cos(6 t/4))
Visible = 0
LegendText = *Pentagram (1):  x(t)=a (1.8 sin(t)-1.2 sin(6 t/4)), y(t)=a (-1.8 cos(t)-1.2 cos(6 t/4))   a=-1
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func278]
FuncType = 1
x = 2 (1.8 sin(t)-1.2 sin(6 t/4))
y = 2 (-1.8 cos(t)-1.2 cos(6 t/4))
Visible = 0
LegendText = *Pentagram (2):  x(t)=a (1.8 sin(t)-1.2 sin(6 t/4)), y(t)=a (-1.8 cos(t)-1.2 cos(6 t/4))   a=2
From = -10
To = 10
Steps = 1000
Color = clRed

[Func279]
FuncType = 1
x = 4 (1+sin t)
y = 2 cos(t) (1+sin t)
Visible = 0
LegendText = Piriform (1):  x(t)=a (1+sin t), y(t)=b cos(t) (1+sin t)   a=4, b=2
From = -10
To = 10
Steps = 1000
Color = clRed

[Relation240]
Relation = y^2=4 (2-x) x^3
Style = 5
Color = clBlue
Visible = 0
LegendText = Piriform (2):  a^4 y^2=b^2 (2 a-x) x^3   a=1, b=2

[Relation241]
Relation = 81 y^2=9 (-6-x) x^3
Style = 5
Color = clGreen
Visible = 0
LegendText = Piriform (3):  a^4 y^2=b^2 (2 a-x) x^3   a=-3, b=3

[Func280]
FuncType = 1
x = sin((1+3/5)*t)/sin((1-3/5)*t)
y = sin(t) sin(3 t/5)/sin((1-3/5)*t)
Visible = 0
LegendText = Plateau Curve (1):  x(t)=sin((1+a) t)/sin((1-a) t), y(t)=sin(t) sin(a t)/sin((1-a) t)   a=3/5
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func281]
FuncType = 1
x = sin((1+2/5)*t)/sin((1-2/5)*t)
y = sin(t) sin(2 t/5)/sin((1-2/5)*t)
Visible = 0
LegendText = Plateau Curve (2):  x(t)=sin((1+a) t)/sin((1-a) t), y(t)=sin(t) sin(a t)/sin((1-a) t)   a=2/5
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func282]
FuncType = 1
x = sin((1-4/5)*t)/sin((1+4/5)*t)
y = sin(t) sin(-4 t/5)/sin((1+4/5)*t)
Visible = 0
LegendText = Plateau Curve (3):  x(t)=sin((1+a) t)/sin((1-a) t), y(t)=sin(t) sin(a t)/sin((1-a) t)   a=-4/5
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation242]
Relation = (abs(x^2-9))^2+(abs(y^2-9))^2=81
Style = 5
Color = clBlue
Visible = 0
LegendText = Plücker's Quartic Curve (1):  (abs(x^2-a^2))^2+(abs(y^2-a^2))^2=b^4   a=3, b=3

[Relation243]
Relation = (abs(x^2-4))^2+(abs(y^2-4))^2=625
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Plücker's Quartic Curve (2):  (abs(x^2-a^2))^2+(abs(y^2-a^2))^2=b^4   a=2, b=5

[Relation244]
Relation = (abs(x^2-9))^2+(abs(y^2-9))^2=16
Style = 5
Color = 0x00339966
Visible = 0
LegendText = Plücker's Quartic Curve (3):  (abs(x^2-a^2))^2+(abs(y^2-a^2))^2=b^4   a=3, b=2

[Relation245]
Relation = y=gamma(x+3)/gamma(x)
Style = 5
Color = 0x00FF9966
Visible = 0
LegendText = Pochhammer Symbol (1):  y=gamma(x+n)/gamma(x)   n=3

[Relation246]
Relation = y=gamma(x+4)/gamma(x)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Pochhammer Symbol (2):  y=gamma(x+n)/gamma(x)   n=4

[Relation247]
Relation = y=gamma(x+5)/gamma(x)
Style = 5
Color = clGreen
Visible = 0
LegendText = Pochhammer Symbol (3):  y=gamma(x+n)/gamma(x)   n=5

[Func283]
FuncType = 2
r = 6 sech(2 t)
Visible = 0
LegendText = Poinsot's Spiral (1):  r(t)=a sech(n t)   a=6, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = clGreen

[Func284]
FuncType = 2
r = 6 sech(t)
Visible = 0
LegendText = Poinsot's Spiral (2):  r(t)=a sech(n t)   a=6, n=1
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func285]
FuncType = 2
r = 6 sech(t/2)
Visible = 0
LegendText = Poinsot's Spiral (3):  r(t)=a sech(n t)   a=6, n=1/2
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func286]
FuncType = 2
r = 6 csch(2 t)
Visible = 0
LegendText = Poinsot's Spiral (4):  r(t)=a csch(n t)   a=6, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func287]
FuncType = 2
r = 6 csch(t)
Visible = 0
LegendText = Poinsot's Spiral (5):  r(t)=a csch(n t)   a=6, n=1
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0099CC33

[Func288]
FuncType = 2
r = 6 csch(t/2)
Visible = 0
LegendText = Poinsot's Spiral (6):  r(t)=a csch(n t)   a=6, n=1/2
From = -4pi
To = 4pi
Steps = 1000
Color = 0x00FFCC00

[Relation248]
Relation = y*x=1
Style = 5
Color = 0x00FF9933
Visible = 0
LegendText = Polytropic Equation (1):  y x^n=1   n=1 (Rectangular Hyperbola)

[Relation249]
Relation = y*x^2=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Polytropic Equation (2):  y x^n=1   n=2 (Cubic Hyperbola)

[Func289]
FuncType = 1
x = (sin(t)/t-t sin(t)-2 cos(t))/4
y = (-cos(t)/t-2 sin(t)+t cos(t))/4
Visible = 0
LegendText = Pritch-Atzema Spiral:  x(t)=a (sin(t)/t-t sin(t)-2 cos(t)), y(t)=a (-cos(t)/t-2 sin(t)+t cos(t))   a=1/4
From = 0
To = 24pi
Steps = 1000
Color = clBlue

[Func290]
FuncType = 1
x = t-1.5 sin(t)
y = 1-1.5 cos(t)
Visible = 0
LegendText = Prolate Cycloid (1):  x(t)=a t-b sin(t), y(t)=a-b cos(t)   a=1, b=3/2 (b>a)
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func291]
FuncType = 1
x = 0.5 t-sin(t)
y = 0.5 -cos(t)
Visible = 0
LegendText = Prolate Cycloid (2):  x(t)=a t-b sin(t), y(t)=a-b cos(t)   a=1/2, b=1 (b>a)
From = -40
To = 40
Steps = 1000
Color = 0x0000CCFF

[Relation250]
Relation = y*x^2-8 x=-y
Style = 5
Color = clBlue
Visible = 0
LegendText = *Pseudoserpentine (1):  y x^2-8 x=-y^n   n=1

[Relation251]
Relation = y*x^2-8 x=-y^3
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = *Pseudoserpentine (2):  y x^2-8 x=-y^n   n=3

[Relation252]
Relation = y*x^2-8 x=-y^5
Style = 5
Color = 0x0033CC33
Visible = 0
LegendText = *Pseudoserpentine (3):  y x^2-8 x=-y^n   n=5

[Relation253]
Relation = y*(4+x^2)=16
Style = 5
Color = clBlue
Visible = 0
LegendText = Pseudoversiera:  y (a^2+x^2)=2 a^3   a=2

[Relation254]
Relation = y=(x^(1+1/2)/(1+1/2))-(x^(1-1/2)/(1-1/2))
Style = 5
Color = clGreen
Visible = 0
LegendText = Pursuit Curve (1):  y=(x^(1+a)/(1+a))-(x^(1-a)/(1-a))   a=1/2

[Relation255]
Relation = y=(x^(1-1/pi)/(1-1/pi))-(x^(1+1/pi)/(1+1/pi))
Style = 5
Color = clBlue
Visible = 0
LegendText = Pursuit Curve (2):  y=(x^(1+a)/(1+a))-(x^(1-a)/(1-a))   a=-1/pi

[Relation256]
Relation = y=x^2-log(x)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Pursuit Curve (3):  y=a x^2-log(x)   a=1

[Func292]
FuncType = 1
x = sin(t)
y = (1/2) (t+sin(t)*cos(t))
Visible = 0
LegendText = Quadratrix of Abdank-Abakanowicz (1):  x(t)=a sin(t), y(t)=(a^2/2) (t+sin(t) cos(t))   a=1
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func293]
FuncType = 1
x = 2 sin(t)
y = 2 (t+sin(t) cos(t))
Visible = 0
LegendText = Quadratrix of Abdank-Abakanowicz (2):  x(t)=a sin(t), y(t)=(a^2/2) (t+sin(t) cos(t))   a=2
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func294]
FuncType = 1
x = t*cot t
y = t
Visible = 0
LegendText = Quadratrix of Hippias (1):  x(t)=a t cot t, y(t)=t   a=1
From = -10
To = 10
Steps = 1000
Color = 0x00669966

[Func295]
FuncType = 2
r = 1.5*t/sin(t)
Visible = 0
LegendText = Quadratrix of Hippias (2):  r(t)=a t/sin(t)   a=3/2
From = -20pi
To = 20pi
Steps = 1000
Color = 0x0000CCFF

[Relation257]
Relation = x=y*cot(-y)
Style = 5
Color = clBlue
Visible = 0
LegendText = Quadratrix of Hippias (3):  x=y cot(y/a)   a=-1

[Func296]
FuncType = 2
r = 4 cos(2 t)
Visible = 0
LegendText = Quadrifolium (1):  r(t)=a cos(2 t)   a=4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func297]
FuncType = 2
r = 5 sin(2 t)
Visible = 0
LegendText = Quadrifolium (2):  r(t)=a sin(2 t)   a=5
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func298]
FuncType = 2
r = 4 (abs(sin(2 t))+sin(4 t)^2/4)
Visible = 0
LegendText = Quadrifolium (3):  r(t)=a (abs(sin(2 t))+sin(4 t)^2/4)   a=4
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func299]
FuncType = 2
r = 6 (sin(2 t)^2+sin(4 t)^2/2)
Visible = 0
LegendText = Quadrifolium (4):  r(t)=a (sin(2 t)^2+sin(4 t)^2/2)   a=6
From = -2pi
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Relation258]
Relation = (x^2+y^2)^3=9 (x^2-y^2)^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Quadrifolium (5):  (x^2+y^2)^3=a^2 (x^2-y^2)^2   a=3

[Relation259]
Relation = (x^3+y^2)^5=y^2+x
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = *Quasi-elliptic Curve (1):  (x^3+y^2)^5=y^2+x

[Relation260]
Relation = (x^3+2 y^2)^5=y^2+x
Style = 5
Color = clRed
Visible = 0
LegendText = *Quasi-elliptic Curve (2):  (x^3+2 y^2)^5=y^2+x

[Relation261]
Relation = abs((x^3-y^2)^5)-abs(x-y^2)=x^2
Style = 5
Color = 0x00FF6600
Visible = 0
LegendText = *Quasi-elliptic Curve (3):  abs((x^3-y^2)^5)-abs(x-y^2)=x^2

[Relation262]
Relation = abs((x^3-y^2)^5)=y^2+x
Style = 5
Color = clGreen
Visible = 0
LegendText = *Quasi-elliptic Curve (4):  abs((x^3-y^2)^5)=y^2+x

[Relation263]
Relation = x^4+x^2*y^2-2 y*x^2-x*y^2+y^2=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Ramphoid Cusp:  x^4+x^2 y^2-2 y x^2-x y^2+y^2=0

[Func300]
FuncType = 1
x = 2 (-12 cos(t)/5+2 cos(6 t)/5)
y = 2 (-12 sin(t)/5+2 sin(6 t)/5)
Visible = 0
LegendText = Ranunculoid:  x(t)=a (-6 r cos(t)/5+r cos(6 t)/5), y(t)=a (-6 r sin(t)/5+r sin(6 t)/5)   a=2, r=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation264]
Relation = y=e^(1/x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Reciprocal Exponential Function:  y=e^(1/x)

[Func301]
FuncType = 2
r = sqrt(sec(2 t))
Visible = 0
LegendText = Rectangular Hyperbola (1):  r(t)=a sqrt(sec(2 t))   a=1
From = 0
To = 2pi
Steps = 1000
Color = clMedGray

[Relation265]
Relation = x^2-y^2=4
Style = 5
Color = clRed
Visible = 0
LegendText = Rectangular Hyperbola (2):  (x-a)^2-(y-b)^2=k^2   center (a,b)=(0,0), k=2

[Relation266]
Relation = (x+1)^2-(y-4)^2=pi^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Rectangular Hyperbola (3):  (x-a)^2-(y-b)^2=k^2   center (a,b)=(-1,4), k=pi

[Relation267]
Relation = x*y=e^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Rectangular Hyperbola (4):  x y=k^2   k=e

[Func302]
FuncType = 1
x = cosh(t)/2
y = sinh(t)/2
Visible = 0
LegendText = Rectangular Hyperbola (Right branch only) (5):  x(t)=a cosh(t), y(t)=a sinh(t)   a=1/2
From = -10
To = 10
Steps = 1000
Color = clBlack

[Func303]
FuncType = 1
x = -cosh t
y = -sinh t
Visible = 0
LegendText = Rectangular Hyperbola (Left branch only) (6):  x(t)=-a cosh t, y(t)=-a sinh t   a=1
From = -10
To = 10
Steps = 1000
Color = clTeal

[Func304]
FuncType = 1
x = 6 sin(t) (1+cos t)
y = 6 sin(t)^2
Visible = 0
LegendText = Regular Bifolium (1):  x(t)=a sin(t) (1+cos t), y(t)=a sin(t)^2   a=6
From = -10
To = 10
Steps = 1000
Color = 0x00339933

[Func305]
FuncType = 2
r = 8 sin(t) sin(2 t)
Visible = 0
LegendText = Regular Bifolium (2):  r(t)=4 a sin(t) sin(2 t)   a=2
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Relation268]
Relation = (x^2+y^2)^2=4*(-e)*x y^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Regular Bifolium (3):  (x^2+y^2)^2=4 a x y^2   a=-e

[Relation269]
Relation = y=6/(1+e^-x)^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Richards Curve:  y=a/(1+e^-x)^n   a=6, n=2

[Relation270]
Relation = y=zeta(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Riemann Zeta Function:  y=zeta(x)

[Func306]
FuncType = 2
r = 2 cot(t)^(1/2)
Visible = 0
LegendText = Right Serpentine (1):  r(t)=a cot(t)^(1/2)   a=2
From = -10
To = 10
Steps = 1000
Color = clGreen

[Relation271]
Relation = y*(x^2+y^2)=16 x
Style = 5
Color = clBlue
Visible = 0
LegendText = Right Serpentine (2):  y (x^2+y^2)=a^2 x   a=4

[Relation272]
Relation = y^2=x^2*(4-x)/(4+x)
Style = 5
Color = clRed
Visible = 0
LegendText = Right Strophoid (1):  y^2=x^2 (a-x)/(a+x)   a=4

[Relation273]
Relation = x^2=y^2*(e-y)/(e+y)
Style = 5
Color = 0x00FFCC33
Visible = 0
LegendText = Right Strophoid (2):  x^2=y^2 (a-y)/(a+y)   a=e

[Func307]
FuncType = 2
r = 2pi*cos(2 t)/cos(t)
Visible = 0
LegendText = Right Strophoid (3):  r(t)=a cos(2 t)/cos(t)   a=2pi
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func308]
FuncType = 2
r = -5 cos(2 t) sec(t)
Visible = 0
LegendText = Right Strophoid (4):  r(t)=a cos(2 t) sec(t)   a=-5
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func309]
FuncType = 1
x = 2 (4-t^2)/(4+t^2)
y = t*(t^2-4)/(4+t^2)
Visible = 0
LegendText = Right Strophoid (5):  x(t)=a (a^2-t^2)/(a^2+t^2), y(t)=t*(t^2-a^2)/(a^2+t^2)   a=2
From = -20
To = 20
Steps = 1000
Color = clGreen

[Relation274]
Relation = x*y^2=(x+y)^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Rolle's Curve (1):  x y^2=a (x+y)^2   a=1

[Relation275]
Relation = x*y^2=0.5 (x+y)^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Rolle's Curve (2):  x y^2=a (x+y)^2   a=1/2

[Func310]
FuncType = 2
r = 6 cos(t/3)
Visible = 0
LegendText = Rose (1):  r(t)=a cos(n t)   a=6, n=1/3
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func311]
FuncType = 2
r = 6 cos(t/4)
Visible = 0
LegendText = Rose (2):  r(t)=a cos(n t)   a=6, n=1/4
From = -6pi
To = 6pi
Steps = 1000
Color = 0x0066CC33

[Func312]
FuncType = 2
r = 6 cos(6 t)
Visible = 0
LegendText = Rose (3):  r(t)=a cos(n t)   a=6, n=6
From = -2pi
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Func313]
FuncType = 2
r = 6 cos(3 t/2)
Visible = 0
LegendText = Rose (4):  r(t)=a cos(n t)   a=6, n=3/2
From = -2pi
To = 2pi
Steps = 1000
Color = clGray

[Func314]
FuncType = 2
r = 6 cos(9 t/4)
Visible = 0
LegendText = Rose (5):  r(t)=a cos(n t)   a=6, n=9/4
From = -6pi
To = 6pi
Steps = 1000
Color = clBlack

[Func315]
FuncType = 2
r = 6 sin(e*t)
Visible = 0
LegendText = Rose (6):  r(t)=a sin(n t)   a=6, n=e
From = -20pi
To = 20pi
Steps = 1000
Color = clGreen

[Func316]
FuncType = 2
r = 6 sin(pi*t)
Visible = 0
LegendText = Rose (7):  r(t)=a sin(n t)   a=6, n=pi
From = -20pi
To = 20pi
Steps = 1000
Color = 0x0033CCFF

[Func317]
FuncType = 2
r = 6 sin(t*(sqrt(2)))
Visible = 0
LegendText = Rose (8):  r(t)=a sin(n t)   a=6, n=sqrt(2)
From = -40pi
To = 40pi
Steps = 1000
Color = 0x006699FF

[Relation276]
Relation = y^2=abs(sinh(x))
Style = 5
Color = clBlue
Visible = 0
LegendText = *Sandglass Curve (1):  y^2=k abs(sinh(x))   k=1

[Relation277]
Relation = y^2=4 abs(sinh(x))
Style = 5
Color = clGreen
Visible = 0
LegendText = *Sandglass Curve (2):  y^2=k abs(sinh(x))   k=4

[Func318]
FuncType = 2
r = 3 cos(2 t)-5 cos(t)
Visible = 0
LegendText = Scarabaeus (1):  r(t)=a cos(2 t)-b cos(t)   a=3, b=5
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func319]
FuncType = 2
r = 3 cos(2 t)-3 cos(t)
Visible = 0
LegendText = Scarabaeus (2):  r(t)=a cos(2 t)-b cos(t)   a=3, b=3
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func320]
FuncType = 2
r = 3 cos(2 t)-2 cos(t)
Visible = 0
LegendText = Scarabaeus (3):  r(t)=a cos(2 t)-b cos(t)   a=3, b=2
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func321]
FuncType = 2
r = 4 sin(t) tan(2 t)
Visible = 0
LegendText = Scyphoid (1):  r(t)=2 a sin(t) tan(2 t)   a=2
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func322]
FuncType = 1
x = 4 sin(2 t) tan(2 t)
y = 4 (tan(2 t)-sin(2 t))
Visible = 0
LegendText = Scyphoid (2):  x(t)=a sin(2 t) tan(2 t), y(t)=a (tan(2 t)-sin(2 t))   a=4
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation278]
Relation = x^4-y^4+24 x*y^2=0
Style = 5
Color = 0x0099CC00
Visible = 0
LegendText = Scyphoid (3):  x^4-y^4-4 a x y^2=0   a=-6

[Relation279]
Relation = y=sec(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Secant Function:  y=sec(x)

[Func323]
FuncType = 2
r = 2 sin(pi+2 t)/sin(pi+(2-1) t)
Visible = 0
LegendText = Sectrix of Maclaurin (1):  r(t)=a sin(q+n t)/sin(q+(n-1) t)   a=2, q=pi, n=2 (Circle)
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func324]
FuncType = 2
r = 2 sin(pi+3 t)/sin(pi+2 t)
Visible = 0
LegendText = Sectrix of Maclaurin (2):  r(t)=a sin(q+n t)/sin(q+(n-1) t)   a=2, q=pi, n=3 (Trisectrix of Maclaurin)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func325]
FuncType = 2
r = 2 sin(pi+3 t/2)/sin(pi+((3/2)-1) t)
Visible = 0
LegendText = Sectrix of Maclaurin (3):  r(t)=a sin(q+n t)/sin(q+(n-1) t)   a=2, q=pi, n=3/2 (Limaçon Trisectrix)
From = 0
To = 2pi
Steps = 1000
Color = 0x00FFCC00

[Func326]
FuncType = 2
r = 2 sin(pi-2 t)/sin(pi-3 t)
Visible = 0
LegendText = Sectrix of Maclaurin (4):  r(t)=a sin(q+n t)/sin(q+(n-1) t)   a=2, q=pi, n=-2 (Hyperbola)
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CC00

[Func327]
FuncType = 2
r = 2 sin((pi/2)+2 t)/sin((pi/2)+t)
Visible = 0
LegendText = Sectrix of Maclaurin (5):  r(t)=a sin(q+n t)/sin(q+(n-1) t)   a=2, q=pi/2, n=2 (Right Strophoid)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func328]
FuncType = 2
r = 2 sin((pi/2)-t)/sin((pi/2)-2 t)
Visible = 0
LegendText = Sectrix of Maclaurin (6):  r(t)=a sin(q+n t)/sin(q+(n-1) t)   a=2, q=pi/2, n=-1 (Rectangular Hyperbola)
From = 0
To = 2pi
Steps = 1000
Color = 0x003366FF

[Func329]
FuncType = 1
x = t^2
y = t^3
Visible = 0
LegendText = Semicubical Parabola (1):  x(t)=a t^2, y(t)=a t^3   a=1
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func330]
FuncType = 1
x = t^3
y = t^2
Visible = 0
LegendText = Semicubical Parabola (2):  x(t)=a t^3, y(t)=a t^2   a=1
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func331]
FuncType = 2
r = -2 (sin(t)^2/cos(t)^3)
Visible = 0
LegendText = Semicubical Parabola (3):  r(t)=a (sin(t)^2/cos(t)^3)   a=-2
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func332]
FuncType = 2
r = pi*sec(t) tan(t)^2
Visible = 0
LegendText = Semicubical Parabola (4):  r(t)=a sec(t) tan(t)^2   a=pi
From = 0
To = 2pi
Steps = 1000
Color = clMedGray

[Relation280]
Relation = 4 y^2=x^3
Style = 5
Color = clBlack
Visible = 0
LegendText = Semicubical Parabola (5):  a y^2=x^3   a=4

[Relation281]
Relation = -4 x^2=y^3
Style = 5
Color = 0x00FFCC00
Visible = 0
LegendText = Semicubical Parabola (6):  a x^2=y^3   a=-4

[Func333]
FuncType = 1
x = cot(t)
y = 2 sin(t) cos(t)
Visible = 0
LegendText = Serpentine Curve (1):  x(t)=a cot(t), y(t)=b sin(t) cos(t)   a=1, b=2
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func334]
FuncType = 1
x = tan(t/2)
y = (-pi/2) sin(t)
Visible = 0
LegendText = Serpentine Curve (2):  x(t)=a tan(t/2), y(t)=(b/2) sin(t)   a=1, b=-pi
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation282]
Relation = y*(x^2+4)=12 x
Style = 5
Color = clBlue
Visible = 0
LegendText = Serpentine Curve (3):  y (x^2+a^2)=b x   a=2, b=12

[Func335]
FuncType = 1
x = 2 (cos(t)^4+t/2)
y = 2 (cos(t)^4+2 abs(cos(t)))
Visible = 0
LegendText = *Saw Function (1):  x(t)=a (sin(t)^4+t/2), y(t)=b (cos(t)^4+2 abs(cos(t)))   a=b=2
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func336]
FuncType = 1
x = -(sin(t)^2+t/2)
y = -(cos(t)^2+abs(cos(t)))
Visible = 0
LegendText = *Saw Function (2):  x(t)=a (sin(t)^2+t/2), y(t)=b (cos(t)^2+abs(cos(t)))   a=b=-1
From = -40
To = 40
Steps = 1000
Color = clGreen

[Relation283]
Relation = y=1/(1+e^(-x))
Style = 5
Color = clBlue
Visible = 0
LegendText = Sigmoid Function (1):  y=1/(1+e^(-a x))   a=1

[Relation284]
Relation = y=1/(1+e^(-4 x))
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Sigmoid Function (2):  y=1/(1+e^(-a x))   a=4

[Relation285]
Relation = y=sin(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Sine Function:  y=sin(x)

[Func337]
FuncType = 2
r = 6 cos(t)^3
Visible = 0
LegendText = Single Folium (1):  r(t)=a cos(t)^3   a=6
From = -10
To = 10
Steps = 1000
Color = clGreen

[Relation286]
Relation = (x^2+y^2)^2=-8 x^3
Style = 5
Color = clBlue
Visible = 0
LegendText = Single Folium (2):  (x^2+y^2)^2=a x^3   a=-8

[Func338]
FuncType = 2
r = root(-2,(4^-2) cos(-2 t))
Visible = 0
LegendText = Sinusoidal Spiral (1):  r(t)=root(n,a^n cos(n t))   a=4, n=-2 (Rectangular Hyperbola)
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func339]
FuncType = 2
r = root(-1,(4^-1) cos(-t))
Visible = 0
LegendText = Sinusoidal Spiral (2):  r(t)=root(n,a^n cos(n t))   a=4, n=-1 (Line)
From = 0
To = 2pi
Steps = 1000
Color = clBlack

[Func340]
FuncType = 2
r = root(-1/2,(4^-0.5) cos(-t/2))
Visible = 0
LegendText = Sinusoidal Spiral (3):  r(t)=root(n,a^n cos(n t))   a=4, n=-1/2 (Parabola)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func341]
FuncType = 2
r = root(-1/3,(0.5^(-1/3)) cos(-t/3))
Visible = 0
LegendText = Sinusoidal Spiral (4):  r(t)=root(n,a^n cos(n t))   a=1/2, n=-1/3 (Tschirnhausen Cubic)
From = -2pi
To = 2pi
Steps = 1000
Color = clGreen

[Func342]
FuncType = 2
r = root(1/3,(4^(1/3)) cos(t/3))
Visible = 0
LegendText = Sinusoidal Spiral (5):  r(t)=root(n,a^n cos(n t))   a=4, n=1/3 (Cayley's Sextic)
From = -2pi
To = 2pi
Steps = 1000
Color = clSkyBlue

[Func343]
FuncType = 2
r = root(1/2,(4^0.5) cos(t/2))
Visible = 0
LegendText = Sinusoidal Spiral (6):  r(t)=root(n,a^n cos(n t))   a=4, n=1/2 (Cardioid)
From = 0
To = 2pi
Steps = 1000
Color = 0x000099FF

[Func344]
FuncType = 2
r = root(1,4 cos(t))
Visible = 0
LegendText = Sinusoidal Spiral (7):  r(t)=root(n,a^n cos(n t))   a=4, n=1 (Circle)
From = 0
To = 2pi
Steps = 1000
Color = 0x0066FF99

[Func345]
FuncType = 2
r = root(2,16 cos(2 t))
Visible = 0
LegendText = Sinusoidal Spiral (8):  r(t)=root(n,a^n cos(n t))   a=4, n=2 (Lemniscate of Bernoulli)
From = 0
To = 4pi
Steps = 1000
Color = 0x0099CC66

[Func346]
FuncType = 1
x = 6 sin(t)^3+2 cos(t)
y = 6 cos(t)^3+2 sin(t)
Visible = 0
LegendText = *Slanted Talbot's Curve (1):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=c=6, b=d=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func347]
FuncType = 1
x = 4 sin(t)^3+2 cos(t)
y = 4 cos(t)^3+2 sin(t)
Visible = 0
LegendText = *Slanted Talbot's Curve (2):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=c=4, b=d=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func348]
FuncType = 1
x = 6 sin(t)^3+4 cos(t)
y = 6 cos(t)^3+4 sin(t)
Visible = 0
LegendText = *Slanted Talbot's Curve (3):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=c=6, b=d=4
From = -10
To = 10
Steps = 1000
Color = 0x0066CC33

[Func349]
FuncType = 1
x = 6 sin(t)^3+6 cos(t)
y = 6 cos(t)^3+6 sin(t)
Visible = 0
LegendText = *Slanted Talbot's Curve (4):  x(t)=a sin(t)^3+b cos(t), y(t)=c cos(t)^3+d sin(t)   a=b=c=d=6
From = -10
To = 10
Steps = 1000
Color = clRed

[Func350]
FuncType = 2
r = 1/cos(t)+cos(t)
Visible = 0
LegendText = Sluze's Cubic (1):  r(t)=a/cos(t)+(b^2/a) cos(t)   a=1, b=1
From = 0
To = 2pi
Steps = 1000
Color = clGreen

[Func351]
FuncType = 2
r = 1/cos(t)+(9/4) cos(t)
Visible = 0
LegendText = Sluze's Cubic (2):  r(t)=a/cos(t)+(b^2/a) cos(t)   a=1, b=3/2
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func352]
FuncType = 2
r = 1/cos(t)+(4) cos(t)
Visible = 0
LegendText = Sluze's Cubic (3):  r(t)=a/cos(t)+(b^2/a) cos(t)   a=1, b=2
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation287]
Relation = (x-1) (x^2+y^2)=(25/4) x^2
Style = 5
Color = 0x0099CC33
Visible = 0
LegendText = Sluze's Cubic (4):  a (x-a) (x^2+y^2)=b^2 x^2   a=1, b=5/2

[Func353]
FuncType = 1
x = cos(t)^2+6 cos(t/2)
y = sin(t)
Visible = 0
LegendText = *Spearhead Function:  x(t)=a (cos(t)^2+6 cos(t/2)), y(t)=b sin(t)   a=b=1
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func354]
FuncType = 2
r = min(tanh(10 t)+tan(3 t)^(1/4),4)
Visible = 0
LegendText = *Spiky Flower (1):  r(t)=a min(tanh(10 t)+tan(b t)^(1/4),4)   a=1, b=3 (0,2pi)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func355]
FuncType = 2
r = 1.4 min(tanh(10 t)+tan(4 t)^(1/4),4)
Visible = 0
LegendText = *Spiky Flower (2):  r(t)=a min(tanh(10 t)+tan(b t)^(1/4),4)   a=14/10, b=4 (0,2pi)
From = 0
To = 2pi
Steps = 6000
Color = 0x0033CC33

[Func356]
FuncType = 2
r = 1.6 min(tanh(10 t)+tan(3 t)^(1/4),4)
Visible = 0
LegendText = *Spiky Flower (3):  r(t)=a min(tanh(10 t)+tan(b t)^(1/4),4)   a=16/10, b=3 (-2pi,2pi)
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func357]
FuncType = 2
r = 1.8 min(tanh(10 t)+tan(4 t)^(1/4),4)
Visible = 0
LegendText = *Spiky Flower (4):  r(t)=a min(tanh(10 t)+tan(b t)^(1/4),4)   a=18/10, b=4 (-2pi,2pi)
From = -2pi
To = 2pi
Steps = 6000
Color = 0x0000CCFF

[Func358]
FuncType = 1
x = cos(t)+t
y = sin(t)^3
Visible = 0
LegendText = *Spiny Sinusoidal Curve (1):  x(t)=a (cos(t)+t), y(t)=b sin(t)^3   a=b=1
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func359]
FuncType = 1
x = cos(t)+t
y = sin(t)^3+abs(sin(t))
Visible = 0
LegendText = *Spiny Sinusoidal Curve (2):  x(t)=a (cos(t)+t), y(t)=b (sin(t)^3+abs(sin(t)))   a=b=1
From = -20
To = 20
Steps = 1000
Color = 0x0000CCFF

[Func360]
FuncType = 1
x = sin(t)+t
y = 2 cos(t)^2
Visible = 0
LegendText = *Spiny Sinusoidal Curve (3):  x(t)=a (sin(t)+t), y(t)=b cos(t)^2   a=1, b=2
From = -20
To = 20
Steps = 1000
Color = clRed

[Func361]
FuncType = 1
x = sin(t)+t
y = 4 cos(t)^3
Visible = 0
LegendText = *Spiny Sinusoidal Curve (4):  x(t)=a (sin(t)+t), y(t)=b cos(t)^3   a=1, b=4
From = -20
To = 20
Steps = 1000
Color = 0x00FFCC33

[Func362]
FuncType = 2
r = 0.4 t
Visible = 0
LegendText = Spiral of Archimedes:  r(t)=a t   a=4/10
From = 0
To = 40pi
Steps = 1000
Color = clBlue

[Func363]
FuncType = 2
r = pi*t/6
Visible = 0
LegendText = Spiral of Archimedes:  r(t)=a t   a=pi/6
From = 0
To = 40pi
Steps = 1000
Color = 0x0000CCFF

[Relation288]
Relation = (25-9+16+x^2+y^2)^2=4 25 (x^2+16)
Style = 5
Color = 0x00FFCC00
Visible = 0
LegendText = Spiric Section (1):  (r^2-a^2+c^2+x^2+y^2)^2=4 r^2 (x^2+c^2)   r=5, a=3, c=4

[Relation289]
Relation = (25-4+16+x^2+y^2)^2=4 25 (x^2+16)
Style = 5
Color = clRed
Visible = 0
LegendText = Spiric Section (2):  (r^2-a^2+c^2+x^2+y^2)^2=4 r^2 (x^2+c^2)   r=5, a=2, c=4

[Relation290]
Relation = (25-1+16+x^2+y^2)^2=4 25 (x^2+16)
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Spiric Section (3):  (r^2-a^2+c^2+x^2+y^2)^2=4 r^2 (x^2+c^2)   r=5, a=1, c=4

[Relation291]
Relation = (25-(0.5)^2+16+x^2+y^2)^2=4 25 (x^2+16)
Style = 5
Color = clBlue
Visible = 0
LegendText = Spiric Section (4):  (r^2-a^2+c^2+x^2+y^2)^2=4 r^2 (x^2+c^2)   r=5, a=1/2, c=4

[Relation292]
Relation = (x^2+y^2)^2-16 x^2-8 y^2+1=0
Style = 5
Color = clGreen
Visible = 0
LegendText = Spiric Section (5):  (x^2+y^2)^2-2 a x^2-2 b y^2+c=0   a=8, b=4, c=1

[Relation293]
Relation = (x^2+y^2)^2-8 x^2-4 y^2+3=0
Style = 5
Color = 0x00868686
Visible = 0
LegendText = Spiric Section (6):  (x^2+y^2)^2-2 a x^2-2 b y^2+c=0   a=4, b=2, c=3

[Relation294]
Relation = (x^2+y^2)^2-8 x^2-4 y^2+6=0
Style = 5
Color = clMaroon
Visible = 0
LegendText = Spiric Section (7):  (x^2+y^2)^2-2 a x^2-2 b y^2+c=0   a=4, b=2, c=6

[Relation295]
Relation = (x^2+y^2)^2-8 x^2-4 y^2+10=0
Style = 5
Color = 0x0000FFCC
Visible = 0
LegendText = Spiric Section (8):  (x^2+y^2)^2-2 a x^2-2 b y^2+c=0   a=4, b=2, c=1

[Relation296]
Relation = y=sqr(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Square Function:  y=sqr(x)

[Relation297]
Relation = y=sqrt(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Square Root Function:  y=sqrt(x)

[Func364]
FuncType = 2
r = 2 (1+sin(5 t)+cos(3 t)^2)
Visible = 0
LegendText = *Stylized Human Figure:  r(t)=a (1+sin(5 t)+cos(3 t)^2)   a=2
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation298]
Relation = (x^2-1)^2=y^2*(y-1) (y-2) (y+5)
Style = 5
Color = clBlue
Visible = 0
LegendText = Stirrup Curve:  (x^2-1)^2=y^2 (y-1) (y-2) (y+5)

[Func365]
FuncType = 0
y = x+4
Visible = 0
LegendText = Straight Line (1):  f(x)=m x+b   m=1, b=4
Color = clGreen

[Func366]
FuncType = 1
x = t+2
y = t-4
Visible = 0
LegendText = Straight Line (2):  x(t)=c t+a, y(t)=d t+b   (a,b)=(2,-4), c=1, d=1
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation299]
Relation = x/-2+y/-4=1
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Straight Line (3):  x/a+y/b=1   (a,b)=(-2,-4)

[Func367]
FuncType = 2
r = (3+abs(cos(8 t)))
Visible = 0
LegendText = Sunflower Curve (1):  r(t)=a (3+abs(cos(n t)))   a=1, n=8
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func368]
FuncType = 2
r = 3 (3+abs(cos(6 t)))/4
Visible = 0
LegendText = Sunflower Curve (2):  r(t)=a (3+abs(cos(n t)))   a=3/4, n=6
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func369]
FuncType = 2
r = 0.55 (3+abs(cos(4 t)))
Visible = 0
LegendText = Sunflower Curve (3):  r(t)=a (3+abs(cos(n t)))   a=0.55, n=4
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func370]
FuncType = 2
r = 0.45 (3+abs(cos(2 t)))
Visible = 0
LegendText = Sunflower Curve (4):  r(t)=a (3+abs(cos(n t)))   a=0.45, n=2
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0066CC66

[Relation300]
Relation = (abs(x/4))^(2/3)+(abs(y/4))^(2/3)=1
Style = 5
Color = clGreen
Visible = 0
LegendText = Superellipse (1):  (abs(x/a))^n+(abs(y/b))^n=1   a=b=4, n=2/3 (Hypoellipse, n<2)

[Relation301]
Relation = abs(x/4)+abs(y/4)=1
Style = 5
Color = 0x000099FF
Visible = 0
LegendText = Superellipse (2):  (abs(x/a))^n+(abs(y/b))^n=1   a=b=4, n=1 (Hypoellipse, n<2)

[Relation302]
Relation = (abs(x/4))^(3/2)+(abs(y/4))^(3/2)=1
Style = 5
Color = clRed
Visible = 0
LegendText = Superellipse (3):  (abs(x/a))^n+(abs(y/b))^n=1   a=b=4, n=3/2 (Hypoellipse, n<2)

[Relation303]
Relation = abs(x/4)^2+abs(y/4)^2=1
Style = 5
Color = 0x00868686
Visible = 0
LegendText = Superellipse (4):  (abs(x/a))^n+(abs(y/b))^n=1   a=b=4, n=2 (Circle, n=2)

[Relation304]
Relation = (abs(x/4))^(5/2)+(abs(y/4))^(5/2)=1
Style = 5
Color = clBlue
Visible = 0
LegendText = Superellipse (5):  (abs(x/a))^n+(abs(y/b))^n=1   a=b=4, n=5/2 (Hyperellipse, n>2)

[Relation305]
Relation = (abs(x/4))^4+(abs(y/4))^4=1
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Superellipse (6):  (abs(x/a))^n+(abs(y/b))^n=1   a=b=4, n=4 (Hyperellipse, n>2)

[Func371]
FuncType = 1
x = 6 cos(t)^(2/6)
y = 4 sin(t)^(2/6)
Visible = 0
LegendText = Superellipse (7):  x(t)=a cos(t)^(2/n), y(t)=b sin(t)^(2/n)   a=6, b=4, n=6 (Hyperellipse, n>2)
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Func372]
FuncType = 2
r = min(10 sqrt(tan(2 t)),4)
Visible = 0
LegendText = Swastika Curve (1):  r(t)=min(a sqrt(tan(2 t)),b)   a=10, b=4 (Left-handed Swastika)
From = 0
To = 4pi
Steps = 10000
Color = 0x0066CC33

[Func373]
FuncType = 2
r = min(10 sqrt(tan(-2 t)),6)
Visible = 0
LegendText = Swastika Curve (2):  r(t)=min(a sqrt(tan(-2 t)),b)   a=10, b=6 (Right-handed Swastika)
From = 0
To = 4pi
Steps = 10000
Color = clBlue

[Func374]
FuncType = 2
r = 4 sqrt(tan(-2 t))
Visible = 0
LegendText = Swastika Curve (3):  r(t)=a sqrt(tan(-2 t))   a=4 (Right-handed Swastika)
From = 0
To = 4pi
Steps = 10000
Color = 0x0000CCFF

[Relation306]
Relation = y^4-x^4=16 x*y
Style = 5
Color = 0x00FFCC00
Visible = 0
LegendText = Swastika Curve (4):  y^4-x^4=a^2 x y   a=4 (Right-handed Swastika)

[Relation307]
Relation = x+(4^2-y^2)^(1/2)=2 ln((4+(4^2-y^2)^(1/2))/y)
Style = 5
Color = clBlue
Visible = 0
LegendText = Syntactrix (1):  x+(b^2-y^2)^(1/2)=a ln((b+(b^2-y^2)^(1/2))/y)   a=2, b=4

[Relation308]
Relation = x+(2^2-y^2)^(1/2)=4 ln((2+(2^2-y^2)^(1/2))/y)
Style = 5
Color = clRed
Visible = 0
LegendText = Syntactrix (2):  x+(b^2-y^2)^(1/2)=a ln((b+(b^2-y^2)^(1/2))/y)   a=4, b=2

[Relation309]
Relation = x^2+y^2=e^(2 x-2)
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Szegö Curve:  x^2+y^2=e^(2 x-2)

[Func375]
FuncType = 1
x = 8 (1+1.2 sin(t)^2) cos(t)
y = 8 (1-1.2-1.2 cos(t)^2) sin(t)
Visible = 0
LegendText = Talbot's Curve (1):  x(t)=a (1+b sin(t)^2) cos(t), y(t)=a (1-b-b cos(t)^2) sin(t)   a=8, b=12/10
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func376]
FuncType = 1
x = 7 (1+sin(t)^2) cos(t)
y = 7 (-1 cos(t)^2) sin(t)
Visible = 0
LegendText = Talbot's Curve (2):  x(t)=a (1+b sin(t)^2) cos(t), y(t)=a (1-b-b cos(t)^2) sin(t)   a=7, b=1
From = -10
To = 10
Steps = 1000
Color = 0x0033CCCC

[Func377]
FuncType = 1
x = 6 (1+0.9 sin(t)^2) cos(t)
y = 6 (1-0.9-0.9 cos(t)^2) sin(t)
Visible = 0
LegendText = Talbot's Curve (3):  x(t)=a (1+b sin(t)^2) cos(t), y(t)=a (1-b-b cos(t)^2) sin(t)   a=6, b=9/10
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func378]
FuncType = 1
x = 5 (1+0.5 sin(t)^2) cos(t)
y = 5 (1-0.5-0.5 cos(t)^2) sin(t)
Visible = 0
LegendText = Talbot's Curve (4):  x(t)=a (1+b sin(t)^2) cos(t), y(t)=a (1-b-b cos(t)^2) sin(t)   a=5, b=1/2
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC00

[Relation310]
Relation = y=tan(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Tangent Function:  y=tan(x)

[Func379]
FuncType = 1
x = 8 cos(25 t/3) sin(18 t)^2
y = 8 sin(25 t/3) cos(18 t)^2
Visible = 0
LegendText = *Tangled Astroid (1):  x(t)=a cos(25 t/3) sin(18 t)^2, y(t)=b sin(25 t/3) cos(18 t)^2   a=b=8
From = -10
To = 10
Steps = 10000
Color = clBlue

[Func380]
FuncType = 1
x = 8 cos(25 t/3) sin(18 t)^2
y = 6 sin(25 t/3) cos(18 t)^2
Visible = 0
LegendText = *Tangled Astroid (2):  x(t)=a cos(25 t/3) sin(18 t)^2, y(t)=b sin(25 t/3) cos(18 t)^2   a=8, b=6
From = -10
To = 10
Steps = 10000
Color = 0x0066CC33

[Func381]
FuncType = 1
x = 6 cos(t)
y = 6 sin(t) sin(t/2)^1
Visible = 0
LegendText = Teardrop Curve (1):  x(t)=a cos(t), y(t)=a sin(t) sin(t/2)^n   a=6, n=1
From = -10
To = 10
Steps = 1000
Color = clGreen

[Func382]
FuncType = 1
x = 6 cos(t)
y = 6 sin(t) sin(t/2)^2
Visible = 0
LegendText = Teardrop Curve (2):  x(t)=a cos(t), y(t)=a sin(t) sin(t/2)^n   a=6, n=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func383]
FuncType = 1
x = 6 cos(t)
y = 6 sin(t) sin(t/2)^4
Visible = 0
LegendText = Teardrop Curve (3):  x(t)=a cos(t), y(t)=a sin(t) sin(t/2)^n   a=6, n=4
From = -10
To = 10
Steps = 1000
Color = 0x00FF6600

[Func384]
FuncType = 2
r = 8 sin(3 t)^3+2 cos(3 t)
Visible = 0
LegendText = *Three-blade Propeller:  r(t)=a sin(n t)^3+b cos(n t)   a=8, b=2, n=3
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Func385]
FuncType = 2
r = 6 ((abs(sin(6 t/8)))^(-6)+(abs(cos(6 t/8))))^(-6)
Visible = 0
LegendText = *Three-leaf Flower (1):  r(t)=a ((abs(sin(6 t/8)))^(-6)+(abs(cos(6 t/8))))^(-6)   a=6 (Acicular Leafs)
From = -2pi
To = 2pi
Steps = 1000
Color = clRed

[Func386]
FuncType = 2
r = 6 ((abs(sin(6 t/8)))^(-2)+(abs(cos(6 t/8))))^(-2)
Visible = 0
LegendText = *Three-leaf Flower (2):  r(t)=a ((abs(sin(6 t/8)))^(-2)+(abs(cos(6 t/8))))^(-2)   a=6 (Ovate Leafs)
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func387]
FuncType = 2
r = 6 ((abs(sin(6 t/8)))^(-1)+(abs(cos(6 t/8))))^(-1)
Visible = 0
LegendText = *Three-leaf Flower (3):  r(t)=a ((abs(sin(6 t/8)))^(-1)+(abs(cos(6 t/8))))^(-1)   a=6 (Cordate Leafs)
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func388]
FuncType = 1
x = 6 (t-tanh t)
y = 6 sech t
Visible = 0
LegendText = Tractrix (1): x(t)=a (t-tanh(t)), y(t)=a sech(t)   a=6
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func389]
FuncType = 1
x = -e/cosh(t)
y = -e*(t-tanh(t))
Visible = 0
LegendText = Tractrix (2): x(t)=a/cosh(t), y(t)=a (t-tanh(t))   a=-e
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Func390]
FuncType = 2
r = (-12 sin(t)^2+6) cos(t)
Visible = 0
LegendText = Trefoil Curve (1):  r(t)=(4 a sin(t)^2-b) cos(t)   a=-3, b=-6 (b/a=2)
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation311]
Relation = (x^2+y^2) (x*(x+8)+y^2)=16 x y^2
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Trefoil Curve (2):  (x^2+y^2) (x (x+b)+y^2)=4 a x y^2   a=4, b=8 (b/a=2)

[Relation312]
Relation = x*y=(1+x) (1-x) (2-x)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Trident of Descartes (1):  a x y=(a+x) (a-x) (2 a-x)   a=1

[Relation313]
Relation = 2 x*y=(2+x) (2-x) (4-x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Trident of Descartes (2):  a x y=(a+x) (a-x) (2 a-x)   a=2

[Relation314]
Relation = 4 x*y=(4+x) (4-x) (8-x)
Style = 5
Color = clRed
Visible = 0
LegendText = Trident of Descartes (3):  a x y=(a+x) (a-x) (2 a-x)   a=4

[Relation315]
Relation = x^3-x^2+x+0.25=x*y
Style = 5
Color = clBlue
Visible = 0
LegendText = Trident of Newton (1):  a x^3+b x^2+c x+d=x y   a=1, b=-1, c=1, d=1/4

[Relation316]
Relation = x^3-x^2-x-1=x*y
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Trident of Newton (2):  a x^3+b x^2+c x+d=x y   a=1, b=-1, c=-1, d=-1

[Func391]
FuncType = 2
r = 8 cos(3 t)
Visible = 0
LegendText = Trifolium (1):  r(t)=a cos(3 t)   a=8
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func392]
FuncType = 2
r = 6 cos(t) (4 sin(t)^2-1)
Visible = 0
LegendText = Trifolium (2):  r(t)=a cos(t) (4 sin(t)^2-1)   a=6
From = 0
To = 2pi
Steps = 1000
Color = 0x00FF9933

[Relation317]
Relation = (x^2+y^2) (x^2+y*(y-4))=-16 y x^2
Style = 5
Color = clRed
Visible = 0
LegendText = Trifolium (3):  (x^2+y^2) (x^2+y (y+a))=4 a y x^2   a=-4

[Func393]
FuncType = 2
r = 1/cos(t/2)
Visible = 0
LegendText = Trisectrix of Delanges (1):  r(t)=a/cos(t/2)   a=1
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Relation318]
Relation = (x^2+y^2-8)^2=x^2*(x^2+y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Trisectrix of Delanges (2):  (x^2+y^2-2 a^2)^2=x^2 (x^2+y^2)   a=2

[Func394]
FuncType = 2
r = -4/cos(3 t)
Visible = 0
LegendText = Trisectrix of Longchamps (1):  r(t)=a/cos(3 t)   a=-4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Relation319]
Relation = x*(x^2-3 y^2)=2 (x^2+y^2)
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Trisectrix of Longchamps (2):  x (x^2-3 y^2)=a (x^2+y^2)   a=2

[Func395]
FuncType = 2
r = sec(t)-4 cos t
Visible = 0
LegendText = Trisectrix of Maclaurin (1):  r(t)=a (sec(t)-4 cos t)   a=1
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func396]
FuncType = 2
r = -2 (1+2 cos(2 t)) sec(t)
Visible = 0
LegendText = Trisectrix of Maclaurin (2):  r(t)=-a (1+2 cos(2 t)) sec(t)   a=2
From = 0
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Func397]
FuncType = 1
x = -e*(t^2-3)/(t^2+1)
y = -e*t*(t^2-3)/(t^2+1)
Visible = 0
LegendText = Trisectrix of Maclaurin (3):  x(t)=a (t^2-3)/(t^2+1), y(t)=a t (t^2-3)/(t^2+1)   a=-e
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation320]
Relation = y^2=x^2*(x-3)/(-1-x)
Style = 5
Color = 0x0033CCFF
Visible = 0
LegendText = Trisectrix of Maclaurin (4):  y^2=x^2 (x+3 a)/(a-x)   a=-1

[Func398]
FuncType = 1
x = t-2 sin(t)
y = 1-2 cos(t)
Visible = 0
LegendText = Trochoid (1):  x(t)=r t-d sin(t), y(t)=r-d cos(t)   r=1, d=2 (Prolate Cycloid: r<d)
From = -20
To = 20
Steps = 1000
Color = clRed

[Func399]
FuncType = 1
x = 2 t-0.4 sin(t)
y = 2-0.4 cos(t)
Visible = 0
LegendText = Trochoid (2):  x(t)=r t-d sin(t), y(t)=r-d cos(t)   r=2, d=4/10 (Curtate Cycloid: r>d)
From = -20
To = 20
Steps = 1000
Color = clBlue

[Func400]
FuncType = 1
x = 0.8 t-0.8 sin(t)
y = 0.8-0.8 cos(t)
Visible = 0
LegendText = Trochoid (3):  x(t)=r t-d sin(t), y(t)=r-d cos(t)   r=d=8/10 (Cycloid: r=d)
From = -20
To = 20
Steps = 1000
Color = 0x0000CCFF

[Relation321]
Relation = 144 (x^4+y^4)-225 (x^2+y^2)+350 x^2*y^2+81=0
Style = 5
Color = clBlue
Visible = 0
LegendText = Trott's Curve:  144 (x^4+y^4)-225 (x^2+y^2)+350 x^2 y^2+81=0

[Relation322]
Relation = y=trunc(x)
Style = 5
Color = clBlue
Visible = 0
LegendText = Truncate Function:  y=trunc(x)

[Relation323]
Relation = 12 y^2=x*(x-4)^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Tschirnhausen's Cubic (1):  3 a y^2=x (x-a)^2   a=4

[Func401]
FuncType = 2
r = -3/4 cos(t/3)^3
Visible = 0
LegendText = Tschirnhausen's Cubic (2):  r(t)=a/cos(t/3)^3   a=-3/4
From = -2pi
To = 2pi
Steps = 1000
Color = 0x0000CCFF

[Relation324]
Relation = -13.5 x^2=y^2*(y-4.5)
Style = 5
Color = clRed
Visible = 0
LegendText = Tschirnhausen's Cubic (3):  27 a x^2=y^2 (y+9 a)   a=-1/2

[Func402]
FuncType = 2
r = sec(t/3)^3/4
Visible = 0
LegendText = Tschirnhausen's Cubic (4):  r(t)=a sec(t/3)^3   a=1/4
From = -2pi
To = 2pi
Steps = 1000
Color = clBlue

[Func403]
FuncType = 1
x = (1-3 t^2)/2
y = t*(3-t^2)/2
Visible = 0
LegendText = Tschirnhausen's Cubic (5):  x(t)=a (1-3 t^2), y(t)=a t (3-t^2)   a=1/2
From = -10
To = 10
Steps = 1000
Color = 0x00FFCC99

[Relation325]
Relation = (y-1) (1+x^10)=6 x^8
Style = 5
Color = clBlue
Visible = 0
LegendText = *Two-peaked Function (1):  (y-1) (1+x^10)=a x^n   a=6, n=8

[Relation326]
Relation = (y-1) (1+x^10)=6 x^7
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = *Two-peaked Function (2):  (y-1) (1+x^10)=a x^n   a=6, n=7

[Func404]
FuncType = 1
x = 2 sin(t)
y = 4 sin(t/2)
Visible = 0
LegendText = Viviani's Curve (1):  x(t)=a sin(t), y(t)=2 a sin(t/2)   a=2
From = -10
To = 10
Steps = 1000
Color = clBlue

[Relation327]
Relation = 4 x^2+y^4=4 y^2
Style = 5
Color = clGreen
Visible = 0
LegendText = Viviani's Curve (2):  4 x^2+y^4=4 y^2

[Relation328]
Relation = (y-x^2)^2=1-x^2
Style = 5
Color = clBlue
Visible = 0
LegendText = Wassenaar's Curve (1):  (y-x^2)^2=1-a x^2   a=1

[Relation329]
Relation = (y-x^2)^2=1-2 x^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Wassenaar's Curve (2):  (y-x^2)^2=1-a x^2   a=2

[Relation330]
Relation = (y-x^2)^2=1-4 x^2
Style = 5
Color = 0x0066CC00
Visible = 0
LegendText = Wassenaar's Curve (3):  (y-x^2)^2=1-a x^2   a=4

[Func405]
FuncType = 1
x = 2 cos(t) sqrt(sin(t)^3)
y = -6 sin(t)
Visible = 0
LegendText = *Water Drop (1):  x(t)=a cos(t) sqrt(sin(t)^3), y(t)=b sin(t)   a=2, b=-6
From = -10
To = 10
Steps = 1000
Color = clBlue

[Func406]
FuncType = 1
x = 2 cos(t) (cos(t)+sqrt(sin(t)^3))
y = -6 sin(t)
Visible = 0
LegendText = *Water Drop (2):  x(t)=a cos(t) (cos(t)+sqrt(sin(t)^3)), y(t)=b sin(t)   a=2, b=-6
From = -10
To = 10
Steps = 1000
Color = 0x0033CC33

[Func407]
FuncType = 1
x = 2 cos(t-cos(t))
y = -6 sin(t)
Visible = 0
LegendText = *Water Drop (3):  x(t)=a cos(t-cos(t)), y(t)=b sin(t)   a=2, b=-6
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation331]
Relation = ((x^2+y^2)^2+4 y^2-4 (x^2+y^2)) (x^2+y^2-4)=(4-1) (x^2+y^2) (8+1-2 (x^2+y^2)-4)
Style = 5
Color = 0x00FF9966
Visible = 0
LegendText = Watt's Curve (1):  ((x^2+y^2)^2+4 y^2-a^2 (x^2+y^2)) (x^2+y^2-a^2)=(b^2-1) (x^2+y^2) (2 a^2+1-2 (x^2+y^2)-b^2)   a=2, b=2

[Relation332]
Relation = ((x^2+y^2)^2+4 y^2-4 (x^2+y^2)) (x^2+y^2-4)=0
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Watt's Curve (2):  ((x^2+y^2)^2+4 y^2-a^2 (x^2+y^2)) (x^2+y^2-a^2)=(b^2-1) (x^2+y^2) (2 a^2+1-2 (x^2+y^2)-b^2)   a=2, b=1

[Relation333]
Relation = ((x^2+y^2)^2+4 y^2-4 (x^2+y^2)) (x^2+y^2-4)=((0.5)^2-1) (x^2+y^2) (8+1-2 (x^2+y^2)-(0.5)^2)
Style = 5
Color = clGreen
Visible = 0
LegendText = Watt's Curve (3):  ((x^2+y^2)^2+4 y^2-a^2 (x^2+y^2)) (x^2+y^2-a^2)=(b^2-1) (x^2+y^2) (2 a^2+1-2 (x^2+y^2)-b^2)   a=2, b=1/2

[Relation334]
Relation = ((x^2+y^2)^2+4 y^2-(1.5)^2*(x^2+y^2)) (x^2+y^2-(1.5)^2)=((0.4)^2-1) (x^2+y^2) (2*(1.5)^2+1-2 (x^2+y^2)-(0.4)^2)
Style = 5
Color = clBlue
Visible = 0
LegendText = Watt's Curve (4):  ((x^2+y^2)^2+4 y^2-a^2 (x^2+y^2)) (x^2+y^2-a^2)=(b^2-1) (x^2+y^2) (2 a^2+1-2 (x^2+y^2)-b^2)   a=3/2, b=4/10

[Relation335]
Relation = ((x^2+y^2)^2+4 y^2-1 (x^2+y^2)) (x^2+y^2-1)=((0.8)^2-1) (x^2+y^2) (2+1-2 (x^2+y^2)-(0.8)^2)
Style = 5
Color = clRed
Visible = 0
LegendText = Watt's Curve (5):  ((x^2+y^2)^2+4 y^2-a^2 (x^2+y^2)) (x^2+y^2-a^2)=(b^2-1) (x^2+y^2) (2 a^2+1-2 (x^2+y^2)-b^2)   a=2, b=8/10

[Relation336]
Relation = ((x^2+y^2)^2+4 y^2-(0.2)^2 (x^2+y^2)) (x^2+y^2-(0.2)^2)=((0.8)^2-1) (x^2+y^2) (2 (0.2)^2+1-2 (x^2+y^2)-(0.8)^2)
Style = 5
Color = 0x00868686
Visible = 0
LegendText = Watt's Curve (6):  ((x^2+y^2)^2+4 y^2-a^2 (x^2+y^2)) (x^2+y^2-a^2)=(b^2-1) (x^2+y^2) (2 a^2+1-2 (x^2+y^2)-b^2)   a=2/10, b=8/10

[Relation337]
Relation = y=e^-x
Style = 5
Color = clBlue
Visible = 0
LegendText = Weibull Curve (1):  y=e^-x^a   a=1 (Exponential Curve)

[Relation338]
Relation = y=e^-x^2
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Weibull Curve (2):  y=e^-x^a   a=2 (Gauss Curve)

[Relation339]
Relation = y=e^-x^4
Style = 5
Color = clRed
Visible = 0
LegendText = Weibull Curve (3):  y=e^-x^a   a=4 (Weibull Curve)

[Func408]
FuncType = 2
r = 4 cot(2 t)
Visible = 0
LegendText = Windmill Curve (1):  r(t)=a cot(2 t)   a=4
From = 0
To = 2pi
Steps = 1000
Color = clBlue

[Relation340]
Relation = 4 x^2*y^2*(x^2+y^2)=4 (x^2-y^2)^2
Style = 5
Color = 0x0000CCFF
Visible = 0
LegendText = Windmill Curve (2):  4 x^2 y^2 (x^2+y^2)=a^2 (x^2-y^2)^2   a=2

[Func409]
FuncType = 2
r = min(tan(sin(2 t))^6,8)
Visible = 0
LegendText = *Windmill Curve (3):  r(t)=min(tan(sin(2 t))^6,a)   a=8
From = 0
To = 2pi
Steps = 1000
Color = 0x0033CC66

[Func410]
FuncType = 2
r = min(8 cos(2 t)^4,5)
Visible = 0
LegendText = *Windmill Curve (4):  r(t)=min(a cos(2 t)^4,b)   a=8, b=5
From = 0
To = 2pi
Steps = 1000
Color = clRed

[Func411]
FuncType = 1
x = t
y = 1/(1+t^2)
Visible = 0
LegendText = Witch of Agnesi (1):  x(t)=a t, y(t)=a/(1+t^2)   a=1
From = -10
To = 10
Steps = 1000
Color = clRed

[Func412]
FuncType = 1
x = 2 tan(t)
y = 2 cos(t)^2
Visible = 0
LegendText = Witch of Agnesi (2):  x(t)=a tan(t), y(t)=a cos(t)^2   a=2
From = -10
To = 10
Steps = 1000
Color = 0x0000CCFF

[Relation341]
Relation = y*x^2=(pi)^2*(pi-y)
Style = 5
Color = 0x0066CC66
Visible = 0
LegendText = Witch of Agnesi (3):  y x^2=a^2 (a-y)   a=pi

[Relation342]
Relation = y*(x^2+36)=216
Style = 5
Color = clBlue
Visible = 0
LegendText = Witch of Agnesi (4):  y (x^2+4 a^2)=8 a^3   a=3

[Data]
TextLabelCount = 1
FuncCount = 412
PointSeriesCount = 0
ShadeCount = 0
RelationCount = 342
OleObjectCount = 0

