התלכדות המעגלים

היכן נפגשים האנכים האמצעיים?

אנך אמצעי ל- AB

אנך אמצעי ל- BC

אנך אמצעי ל- AC

הרעיון הושאל מהאתר:                                                
 http://demonstrations.wolfram.com/index.html

A = (0.5676460000000008, 4.341021999999999)
B = (-1.9121539999999992, -2.849178)
C = (8.698846000000001, -2.3623779999999996)
poly1, c, a, b = Polygon(A, B, C)
D = Midpoint(c)
E = Midpoint(a)
F = Midpoint(b)
d = OrthogonalLine(D, c)
e = OrthogonalLine(E, a)
f = OrthogonalLine(F, b)
O_1 = Point(d)
g = Segment(O_1, D)
h = Segment(A, O_1)
i = Segment(O_1, B)
k = Circle(O_1, A)
O_3 = Point(f)
j = Segment(A, O_3)
l = Segment(O_3, C)
m = Segment(F, O_3)
p = Circle(O_3, C)
O_2 = Point(e)
n = Segment(B, O_2)
q = Segment(O_2, C)
r = Segment(O_2, E)
s = Circle(O_2, B)
O = Intersect(f, e)
α = Angle(O_1, D, A)
β = Angle(B, E, O_2)
γ = Angle(C, F, O_3)
o = true
t = true
u = true