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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 172

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 172
—-—. Connect BA + BC these results with harmonic progression in algebra by show-ing that A C is a harmonic mean between AB and AD, 154 Ch. XII, § 84] POLES AND POLARS 155 84. Polar of a point. — The polar of a point with respectto any conic is defined as the locus of points which divideharmonically… … —P, Fig. 85. coordinates. The same method might be employed here,but it is thought best to use a very similar one, intowhich, however, polar coordinates do not enter. We shall find the polar of the point Px with respect tothe ellipse ^ + ay = a^ Transform to the point Px as origin by the aid of the…

Geometry, Analytic

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