Q

P

φ

M

Randwinkel φ

Start

Wandernde Dreiecke

1) φ<90°

Der Punkt C bewegt sich auf dem Kreis. 
Unten kann man zu jedem der Fälle ein
stellvertretendes Beispiel aufrufen.

Weitere Winkel

2) φ>90°

3) φ=90°

1.1

1.2

1.3

IMP9 geo

r = 3.2 (slider from -5 to 5)
M = (-8.396642158827966, 1.6350965582255301)
c = Circle(M, r)
B = Point(c)
A = Point(c)
e = CircleArc(M, B, A)
C = Point(e)
f = Segment(A, C)
g = Segment(C, B)
h = Segment(B, A)
α = Angle(A, C, B)
a = true
anim = false
d = CircleArc(M, A, B)
i = Segment(B, M)
j = Segment(M, C)
k = Segment(M, A)
A' = Mirror(A, M)
φ_1 = If(Angle[A, C, M] < 180°, Angle[A, C, M], Angle[M, C, A])
α_1 = If(Angle[M, A, C] < 180°, Angle[M, A, C], Angle[C, A, M])
φ_2 = If(Angle[M, C, B] < 180°, Angle[M, C, B], Angle[B, C, M])
w = true
β_2 = If(Angle[C, B, M] < 180°, Angle[C, B, M], Angle[M, B, C])
D = (-12.487337558827944, 7.465142758225504)
w_1 = true
E = Point(c)
F = Point(c)
G = Point(c)
H = Point(c)
E' = Mirror(E, M)
I = Point(c)
I' = Mirror(I, M)
J = Point(c)
K = Point(c)
L = Point(c)
N = Point(c)
O = Point(c)
P = Point(c)
Q = Point(e)