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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 149

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 149
9—2 132 CENTRE OF SIMILITUDE suppose that BC passes through B. Then, the centre of similitude 0 will bethe point of intersection of the circle circumscribing the triangle BCC\ andthe circle which passes through B and touches BC at B. Again, if C coincide with the point B, the centre of similitude… … 208. Ex. 1. If 0 be the centre of similitude of the directly similartriangles ABC, DAE, show that AO passes through the symmedian point ofthe triangle ABB. Ex. 2. In the same case, if .^ 0 meet the circumcircle of the triangle ABDin H, show that AH is bisected in the point 0. Ex. 3. If triangles be…

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