HYACINTHOS 23162

[Randy Hutson]:

Dear Antreas, César and friends,

Let A'B'C' be the anticevian triangle of X(54).  Let A" be the reflection of A' in BC, and define B", C" cyclically.  A"B"C" and ABC are cyclologic.  The circumcircles of A"BC, B"CA, C"AB concur in the isogonal conjugate of X(6798).

What is the other cyclologic center?  The ETC search value is -5.373547571894318.

Best regards,
Randy

 

 ***************************************************

Hi, Randy:

 

 

One center is the isogonal conjugate of 6798, as you stated.

The other is something rude. The first trilinear coordinate is attached as an image.

 

Regards

César Lozada