RE: [EGML] CONIC - LOCUS
Posted By: cesar_e_lozada
Fri Sep 6, 2013 10:28 pm
Dear Antreas:
They are concyclic for all points P.
The center of their circle is the complement of the isotomic of P.
Regards
Cιsar Lozada
De: Anopolis@yahoogroups.com [mailto:Anopolis@yahoogroups.com] En nombre de Antreas Hatzipolakis
Enviado el: Jueves, 05 de Septiembre de 2013 06:28 p.m.
Para: anopolis@yahoogroups.com
Asunto: [EGML] CONIC - LOCUS
Let ABC be a triangle and A'B'C' the cevian triangle of P.
Denote:
Ab, Ac = the intersections of the circles with diameters BC, AA'
(near to B,C, resp.)
Bc, Ba = the intersections of the circles with diameters CA, BB'
Ca, Cb = the intersections of the circles with diameters AB, CC'
For P = H, the six points are concyclic.
For which P's are the six points lying on a conic?
APH
Anopolis #956
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