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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ETC pm

X(66901) = X(2) OF THE CEVIAN TRIANGLE OF X(290) Barycentrics    a^2*(a^2*b^2 - b^4 + a^2*c^2 - c^4)*(a^8*b^4 - 2*a^6*b^6 + a^4*b^8 - 2*a...