MathDB

In a non isosceles triangle

ABC

let

w

be the angle bisector of the exterior angle at

C

. Let

D

be the point of intersection of

w

with the extension of

AB

. Let

k_A

be the circumcircle of the triangle

ADC

and analogy

k_B

the circumcircle of the triangle

BDC

. Let

t_A

be the tangent line to

k_A

in A and

t_B

the tangent line to

k_B

in B. Let

P

be the point of intersection of

t_A

and

t_B

. Given are the points

A

and

B

. Determine the set of points P\equal{}P(C ) over all points

C

, so that

ABC

is a non isosceles, acute-angled triangle.

Problem Statement