Ma belle sinusoide
Author: Daniel Mentrard
Date: 25 septembre 2007

\frac{\pi}{2}

\pi

\frac{3\pi}{2}

2\pi

\frac{5\pi}{2}

3\pi

Angle parcouru par M :

 \frac{ 7\pi }{2 } 

4\pi

0

4π

\frac{\pi}{2}

\pi

\frac{3\pi}{2}

a = 0.24 (slider from 0 to 7, step 0.01)
M: (cos(2.0 * a) - 1.0, sin(2.0 * a))
b, d = Tangent(M, c)
A = (0, -1)
I = (-1, 0)
O = (-1, 0)
e = Ray(M, A)
J = (0, 1)
k = CircleArc(O, I, M)
B = (0, 0)
i = OrthogonalLine(B, yAxis)
C = Point(i)
j = Ray(B, C)
P: (a, 0.0)
M_0 = (0.78, 0)
M_1 = (1.57, 0)
M_2 = (2.36, 0)
M_3 = (3.14, 0)
M_4 = (3.92, 0)
M_5 = (4.71, 0)
β = Angle(I, O, M)
T14: "" + (360.0 * a / 3.14) + "°"
M_6 = (5.5, 0)
M_7 = (6.28, 0)
T17: "" + (x(M_7))
D = Intersect(yAxis, xAxis)
g = Segment(D, P)
h = Segment(O, I)
p = CircleArc(O, M, I)
E = Point(c)
l = Segment(I, E)
nb: a / 3.14
T26: "Nombre de tours : " + nb + "t"
m = Line(D, J)
n = Line(O, m)
F, G = Intersect(c, n)
q = Line(O, j)
H, K = Intersect(c, q)
r = Segment(H, K)
S: (-1.0, y(M))
s = Segment(S, M)
L: (a, y(M))
t = Segment(M, L)
a1 = Segment(E, F)
f(x) = sin(2.0 * x)
b1 = Segment(O, M)
c1 = Segment(P, L)
d1 = Segment(O, S)
f1 = Function(f, 0.0, a)
α = Angle(B, I, M)
e1 = Line(E, J)
g1 = Line(F, A)