engleski

Homology and orthology with chordal triangles

In a paper "Equilateral Chordal Triangles" Floor van Lamoen considered a configuration when a circle intersects each of the sidelines of a triangle ABC in such a way that three chords not along the sidelines bound the chordal triangle. In this paper we show that if the center of the circle is the circumcenter O of ABC then both chordal triangles are homologic to the complementary triangle AgBgCg and that if the center of the circle is the symmedian point K then both chordal triangles are orthologic with ABC and to each other.

triangle; central point; homologic triangles; orthologic triangles; circle; chordal triangle; circumcenter; symmedian point; complementary triangle

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