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About: Orthologic triangles     Goto   Sponge   NotDistinct   Permalink

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In geometry, two triangles are said to be orthologic triangles if the perpendiculars from the vertices of one of them to the corresponding sides of the other are concurrent. This is a symmetric property, that is, if the perpendiculars from the vertices A, B, C of triangle ABC to the sides EF, FD, DE of triangle DEF are concurrent then the perpendiculars from the vertices D, E, F of triangle DEF to the sides BC, CA, AB of triangle ABC are also concurrent. The points of concurrence are known as the orthology centres of the two triangles.