Δευτέρα 16 Ιανουαρίου 2012

X56, X235


1. Let A1B1C1 be a triangle, A2B2C2 its antipodal triangle (=circumcevian of O), A3B3C3 the circumcevian triangle of I with respect the triangle A2B2C2 and A'B'C' the circumcevian triangle of I.


The triangles A'B'C', A3B3C3 are perspective.
Perspector (on the OI line) ?

2. Orthic Triangle Version:


Perspector (on the Euler line of ABC) ?

APH, 16 January 2012

1. X56
2. X235

Francisco Javier García Capitán
16 January 2012

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X(69262) = EULER LINE INTERCEPT OF X(51)X(53415) Barycentrics    2 a^6-a^4 b^2-2 a^2 b^4+b^6-a^4 c^2+12 a^2 b^2 c^2-b^4 c^2-2 a^2 c^4-b^...