Rapports obtenus par le théorème de Thalès :

Rapports    \frac{ côté  adjacent }{ hypoténuse } :

Rapports    \frac{ côté  opposé }{ hypoténuse } :

Rapports    \frac{ côté  opposé }{ côté  adjacent } :

O = (2.532758853951319, -10.44200828235887)
F = (7.645670236171312, -10.459700017245446)
n = Ray(O, F)
d = 4.26 (slider from 1 to 5, step 0.01)
e = Circle(O, d)
α = 0.6108652381980153 rad (slider from 0 to 1.5707963267948966, step 0.017453292519943295)
A = Point(n)
D = Rotate(A, α, O)
ε = Angle(A, O, D)
p = Ray(O, D)
B = Intersect(e, n, 1)
texte1: " \frac{ OA }{OB }  =" + (Distance[O, A] / Distance[O, B])
q = OrthogonalLine(A, n)
C = Intersect(q, p)
r = OrthogonalLine(B, n)
E = Intersect(r, p)
s = Segment(C, A)
t = Segment(B, E)
a_1 = Segment(O, C)
b_1 = Segment(O, A)
texte2: "   \frac{ OC }{OE }  =" + (Distance[O, C] / Distance[O, E])
texte4: "   \frac{ OA }{OC }  =" + (Distance[O, A] / Distance[O, C])
texte3: "   \frac{ OB }{OE }  =" + (Distance[O, B] / Distance[O, E])
texte9: "   \frac{ AC }{OC }  =" + (Distance[C, A] / Distance[O, C])
texte10: "   \frac{ BE }{OE }  =" + (Distance[B, E] / Distance[O, E])
texte11: "   \frac{ AC }{OA }  =" + (Distance[C, A] / Distance[O, A])
texte12: "   \frac{ BE }{OB }  =" + (Distance[B, E] / Distance[O, B])
ζ = Angle(C, A, O)
η = Angle(E, B, O)