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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 80

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 80
n point is preferred in geometry from the importantconnection of the point with its isogonal conjugate, the symmedian point. The median point of a triangle is usually denoted by (!, and the symmedianpoint by A. Tiiangles which have the same median lines are called co-median triangles; and triangles… … If ABG be any triangle, any line YZ which cuts AG ia.Y andAB in Z, so that the angle A YZ is equal to the angle GBA, andthe angle AZY equal to the angle BOA, is said to be antiparallelto the side BG. It is obvious that when YZ is antiparallel to BG, the points1, Z, B, G are concyclic; and that the…

Geometry

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