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Analytic geometry and principles of algebra (1913)

Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 219

An illustration from Analytic geometry and principles of algebra, 1913, leaf 219
rs by comparing the ordinates y = ±- Va^ — .-c^ of the ellipse with the ordinates y = ± Va^ — x^ of the circle. 206 PLANE ANALYTIC GEO:\IETRY [X, § 213 But the same ellipse can also be obtained from its inscribedcircle x^ -\- y- = W by increasing each abscissa in the ratio a/h,as appears at once by… … any radius meets the circles at P^. P.,, the intersection P ofthe parallels through P^, P^ to the diameters is a point of theellipse. 213. Tangent to Ellipse. It follows from § 211 that ifP {x, y) is any point of the ellipse and Pj that point of the cir-cumscribed circle which has the same…

Geometry, Analytic

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