An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 149
ocardtriangle of the triangle ABC. See § 134. Ex. 4. If points A, B, C be taken on the sides BC, CA, AB of thetriangle ABC, so that the triangle ABC is directly similar to the triangleABC, show that the centre of similitude of the triangle ABC in any two ofits positions is the circumcentre of the… … OF SIMILAR TRIANGLES. 133 triangle ABC, so that the triangle ABC is directly similar to the triangleABC, show that the centre of similitude is a fixed point. Let a be the centre of similitude. Then, Q will lie on the circles circum-scribing the triangles AAC, BBA, CCB; and the circles AAQ, BBQ,…
Geometry
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