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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 150

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 150
oint. [H. M. Taylor.] Ex. 10. Show that the points 0, & are isogonal conjugates with respectto the triangle ABC. [Casey.] 209. Let ABC be any given triangle, and let a triangleABC be constructed so as to be homothetic to the triangleABC. Let 0 be the homothetic centre, and OX any line through0.… … 134 CENTRE OF SIMILITUDE OF TWO It is obvious that the triangle ABC is inversely similar tothe triangle ABC. It is also evident from the figure that thetriangles OBC, OCA, OAB are inversely similar to thetriangles OBG, OCA, OAB; that the angles AOA, BOB, COOare bisected by the line OX; and that OA…

Geometry

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