An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 181
tive of the triangles. 269. Ex. 1. Show that any triangle inscribed in a circle is in perspectivewith the triangle formed by the tangents at its vertices. Ei. 2. If ABC and ABC be a pair of conjugate triangles with respectto a circle whose centre 0 is the circumcentre of the triangle ABC; show… … Let A BCD be any tetrastigm inscribed in a circle, and letE, F, G be its centres. Then, if AB, CD cut GE in P and P, it follows by § 141, thatthe ranges {AB, PF] and {CD, PF]are harmonic. Therefore GE is the polar of the point F. Similarly, EF, FG are the polars of G and E respectively. Therefore…
Geometry
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