An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 180
re self-conjugate with respect to a circle; showthat their six vertices form a Pascal hexastigm, and that their six sides forma Brianchon hexagram. 267. .471^ triangle and its conjugate triangle with respect to agiven, circle are in perspective. Let ABG be any triangle, ABG the conjugate triangle… … Then since AB is the polar of G, and AC the polar of B, by§ 251, Ex. 8, BY-.GZ =OB:OG; similarly we shall have, GZ:AX=OG:OA; and AX-.BT = OA:OB. „. , BY GZ AX ^ Therefore _.__._ = i. Hence, by § 179, the triangle ABC, ABG are in perspective. 268. Let the sides of the triangle ABG cut the…
Geometry
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