Le cercle à la française
Author: Daniel Mentrard

 \frac{\pi}{6} 

 \frac{\pi}{3} 

 \frac{\pi}{2} 

 \frac{\pi}{4} 

 \frac{2\pi}{3} 

 \frac{4\pi}{3} 

 \frac{5\pi}{3} 

 \frac{3\pi}{4} 

 \frac{7\pi}{4} 

 \frac{5\pi}{4} 

 \frac{5\pi}{6} 

 \frac{11\pi}{6} 

 \frac{7\pi}{6} 

\pi

0 ou  2\pi

 \frac{3\pi}{2} 

0,5

0,5

-0,5

- 0,5

M

+

( \frac{-\pi}{ 6} )

 (\frac{-\pi}{4} )

O = Intersect(xAxis, yAxis)
D_2 = Circle(O, 1.0)
t = 15 (slider from -360 to 1080, step 5)
C, A = Intersect(D_2, xAxis)
M = Rotate(A, t°, O)
α = Angle(A, O, M)
a = Segment(O, M)
β = Angle(M, O, A)
d = CircleArc(O, A, M)
E = (0.7071067811865476, 0.7071067811865475)
D_1 = (0.8660254037844387, 0.49999999999999994)
F = (0.5000000000000001, 0.8660254037844386)
B = (6.123233995736766E-17, 1)
H = Mirror(D_1, O)
b = Segment(H, D_1)
I = Mirror(E, O)
J = Mirror(F, O)
e = Segment(E, I)
f = Segment(F, J)
D = Mirror(B, O)
L = Mirror(A, O)
N = Mirror(F, yAxis)
O_1 = Mirror(E, yAxis)
P = Mirror(D_1, yAxis)
Q = Mirror(H, yAxis)
R = Mirror(I, yAxis)
S = Mirror(J, yAxis)
g = Segment(N, S)
h = Segment(O_1, R)
i = Segment(P, Q)
j = Segment(C, O)
k = Segment(O, A)
l = Segment(B, O)
m = Segment(O, D)
C_1 = Midpoint(A, O)
T = Midpoint(C, O)
U = Midpoint(O, B)
V = Midpoint(D, O)
p = CircleArc(O, M, A)
T21: "Valeur de l'angle en degré : " + t + "°"
Tour: t / 360.0
T22: "Nombre de tours :" + Tour
G = (0.6655948566080157, 0.8007061103101893)
K = (1.00298135230245, 1.03111640005273)
W = (0.7149684901242743, 1.2450688119565174)
c = CircleArc(G, K, W)
Z = Point(c)
A1 = Point(c)
u = Vector(Z, A1)