Date: 20 January 2015

Apollonius' circles

Find E' - the conjugate of E

Points of tangency and centers

A = (-1.78, -0.06)
B = (-1.94, 1.7)
c = Circle(A, B)
C = (2, -0.2)
D = (1.22, -0.6)
d = Circle(C, D)
E = (-0.76, -3.54)
a, b, e, f = Tangent(c, d)
P = Intersect(b, a)
G = Intersect(c, b, 1)
H = Intersect(d, b, 1)
g = Circle(G, E, H)
h = Line(E, P)
E' = Intersect(g, h, 2)
J = Intersect(c, g, 2)
i = Line(J, G)
K = Intersect(h, i)
j, k = Tangent(K, c)
L = Intersect(c, k, 1)
M = Intersect(c, j, 1)
l = Line(A, M)
m = LineBisector(E, E')
Q = Intersect(l, m)
p = Circle(Q, M)
n = Line(L, A)
O = Intersect(m, n)
q = Circle(O, L)
o = false
r = false
s = false