Q

P

M

Sehnentangentenwinkel ε

Tangente t_2 einblenden

ε

Mittelpunktswinkel μ

Kreisbogen b

Komplementärbogen b'

Mittelpunktswinkel μ'

Umfangswinkel φ

C

Umfangswinkel φ'

Sehnentangentenwinkel ε'

ε

ε'

ε'

Kreiswinkel im Überblick

φ

Überall φ?

φ

φ

einblenden

Wo tritt der Winkel φ auf?

φ

und wo noch?

Dreieck ABC

Dreieck AC'B

r = 2.4 (slider from 0 to 4)
M = (-3.6745463588279623, 1.3992553218618857)
c = Circle(M, r)
B = Point(c)
A = Point(c)
b' = CircleArc(M, B, A)
h = Segment(B, A)
C = Point(b')
i = Segment(A, C)
j = Segment(C, B)
φ = Angle(A, C, B)
w_S = false
s = Segment(A, M)
μ = Angle(A, M, B)
t_3 = Segment(M, B)
m = Tangent(A, c)
n = Tangent(B, c)
I = Intersect(m, n)
J = Point(m)
δ = Angle(M, A, J)
D = Point(m)
ε = Angle(D, A, B)
t_1 = Segment(J, D)
E = Point(n)
F = Point(n)
t_2 = Segment(E, F)
α = Angle(F, B, M)
a = false
γ = Angle(A, B, E)
w_M = false
b = CircleArc(M, A, B)
w = false
w' = false
w'_M = false
w_U = true
μ' = Angle(B, M, A)
C' = Point(b)
k = Segment(A, C')
l = Segment(C', B)
φ' = Angle(B, C', A)
w'_U = false
w'_S = false
ε' = Angle(B, A, J)
a_1 = false
a_1' = false
β = Angle(F, B, A)
ζ = Angle(D, A, B)
v = false
G = Midpoint(A, B)
f = Segment(G, M)
g = Ray(M, G)
K = Intersect(c, g)
η = Angle(A, M, K)
θ = Angle(K, M, B)
v_1 = false
ι = Angle(A, B, E)
v_2 = false
d = true
e = false