An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 147
e triangle ABC. The point 0 is called the centre of similitude of the twotriangles ABC, ABC. We shall now show that any two triangles which are directlysimilar, have a centre of similitude, which can be easily found. Itwill be perceived that when the centre of similitude is known, then,by turning… … Let ABC, ABC be any two triangles which are directly similar. Let BG, BC intersect in the point X, and let the circumcircles of the triangles BXB, CXC intersect in thepoint 0. DIRECTLY SIMILAK TRIANGLES. 131 It is evident that the triangles BOG, BOG are directly similar.Hence the triangles j4OC,…
Geometry
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