1

3

36

X(36)    INVERSE-IN-CIRCUMCIRCLE OF X(1)

Center X(36), the inverse of the incenter in the
circumcircle, is labeled 36.

Sketch contributed by Michael Stairs, March 2018.

Drag A, B, C.

A = (21.017018545124483, 1.1285574494536146)
B = (6.62, -3.4)
f = Segment(A, B)
C = (19.52, -3.4)
g = Segment(B, C)
h = Segment(C, A)
i = AngularBisector(A, B, C)
j = AngularBisector(A, C, B)
D = Intersect(i, j)
k = LineBisector(g)
l = LineBisector(h)
E = Intersect(k, l)
c = Circle(E, C)
m = Line(E, D)
n = OrthogonalLine(D, m)
F = Intersect(c, n, 2)
G = Intersect(c, n, 1)
p = Tangent(G, c)
q = Tangent(F, c)
H = Intersect(m, p)
r = OrthogonalLine(D, m)
I = Intersect(c, r, 2)
J = Intersect(c, r, 1)
s = Segment(I, J)
t = Line(H, I)
a = Line(J, H)