Σάββατο 29 Ιουνίου 2024

THREE CURIOUS MIDPOINTS

Let ABC be a triangle, P a point and A'B'C' the cevian triangle of P Ma = the midpoint of AbAc. Similarly Mb, Mc
Which is the locus of P such that ABC, MaMbMc are orthologic?
Antreas Hatzipolakis

Study:
Francisco Javier García Capitán: Three curious midpoints
FJGC

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X(69018) = EULER LINE INTERCEPT OF X(5892)X(61690) Barycentrics    4*a^10 - 9*a^8*(b^2 + c^2) + (b^2 - c^2)^4*(b^2 + c^2) + 2*a^6*(b^4 +...