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Higher geometry; an introduction to advanced methods in analytic geometry (1922)

Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 109

An illustration from Higher geometry; an introduction to advanced methods in analytic geometry, 1922, leaf 109
on BC, and E itsharmonic conjugate with re-spect to B and C, the lineEA would be the polar ofD with respect to both (1)and (2). Hence the conies would have more than three commonpolars, and the collineation (3) would not be of Type I, § 41. Therefore the triangle is a self-polar triangle with… … Fig. 29 px\=axx„ pxt = a.,x„, (6) where, by § 41, a^ a^ «3. The two conies (4) and (5) intersect in four distinct points, asis easily proved.

Geometry, Analytic

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