ParametricCurvesApplet
Author: Jamie Mulholland

Parametric curves ... blah blah blah

t

t

x

y

x

y

2π

π

 \frac{ \pi }{2 } 

0

\frac{3\pi}{2}

t

x-coordinate

y-coordinate

parametric curve

coordinate lines

yy(x) = sin(x)^(3.0)
T = 0.95 (slider from 0 to 6.283185307179586, step 0.05)
YP: (2.5 + T / 3.14159, yy(T))
xx(x) = cos(x)^(3.0)
XP: (xx(T), 3.5 - T / 3.14159)
Px = Function(xx(x), 0.0, T)
Py = Function(yy(x), 0.0, T)
P: (xx(T), yy(T))
a = CurveCartesian(Px(t), Py(t), t, 0.0, 6.28)
graphx = CurveCartesian(xx(t), 3.5 - t / 3.14159, t, 0.0, T)
graphy = CurveCartesian(2.5 + t / 3.14159, yy(t), t, 0.0, T)
A = Point(yAxis)
B = Point(yAxis)
d = Segment(A, B)
C = Point(yAxis)
D = Point(yAxis)
e = Segment(C, D)
E = Point(xAxis)
F = Point(xAxis)
f = Segment(E, F)
G = Point(xAxis)
H = Point(xAxis)
g = Segment(G, H)
I = (2.5, 1.2)
J = (2.5, -1.2)
h = Segment(I, J)
K = (1.2, 3.5)
L = (-1.2, 3.5)
i = Segment(L, K)
T13: "y = " + yy
T16: "x = " + xx
T15: "y = " + yy
e_1 = Vector((0.0, 0.0), (1.0, 0.0))
e_2 = Vector((0.0, 0.0), (0.0, 1.0))
xLineP = Segment(P, (0.0, y(P)))
yLineP = Segment(P, (x(P), 0.0))
M = (3.263535396697649, 2.7135794497826247)
N = Translate(M, Vector[1.5 * e_1])
u = Vector(M, N)
O = Translate(M, Vector[-(1.5) * e_1])
v = Vector(M, O)
xcoord = true
ycoord = true
curve = true
xcoordline = Segment(XP, P)
ycoordline = Segment(YP, P)
coordlines = true
LinexP = Segment(XP, (0.0, y(XP)))
LineyP = Segment(YP, (x(YP), 0.0))
T12: "x =" + xx