HYACINTHOS 24162

[APH]:

1. Orthic triangle version:

Let ABC be a triangle and A'B'C' the orthic triangle.

Denote:

JaaJabJac = the excetral triangle of AB'C'

(the excircle (Jaa) touches B'C', the excircle (Jab) touches AC', the excircle (Jac) touches AB')

 

JbaJbbJbc = the excentral triangle of BC'A'

(the excircle (Jba) touches BC', the excircle (Jbb) touches C'A', the excircle (Jbc) touches BA')

JcaJcbJcc = the excentral triangle of CA'B'

(the excircle (Jca) touches CB', the excircle (Jcb) touches CA', the excircle (Jcc) touches A'B')

The NPCs of A'JabJac, B'JbcJba, C'JcaJcb are concurrent.

 

[Peter Moses]:

Hi Antreas,

 

1) X(389)

 

Best regards

Peter.