HYACINTHOS 26001

[Antreas P. Hatzipolakis]:

 

Let ABC be a triangle and A'B'C' the pedal triangle of N.

Denote:

A", B", C" = the reflections of A', B', C' in AN, BN, CN, resp.

The circumcircles of NAA", NBB", NCC" are coaxial.

2nd intersection?

 

[Peter Moses]:

 

 

Hi Antreas,

 

(2 a^2-b^2-c^2) (2 a^4-5 a^2 b^2+3 b^4-a^2 c^2-5 b^2 c^2+2 c^4) (2 a^4-a^2 b^2+2 b^4-5 a^2 c^2-5 b^2 c^2+3 c^4):: 

on lines {5,3629}.

 

 

Best regards,

Peter Moses.