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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 215

An illustration from Plane and solid analytic geometry, 1897, leaf 215
tre, and witha radius equal to the semi-major axis, describe an arc of a circle.The arc will cut the major axis in the foci. 94. Focal Distances. The distances of a point on an ellipse from the foci arecalled its focal distances, and the lines joining the point tothe foci are called the focal… … Fig. 88. THE ELLIPSE. 201 By the definition of the ellipse, But MPi= DN = DC+CN, eTherefore, FPi = a + exi. Similarly, FPi = e. PjM, = e (CD-CN), = ^(e-^= a — exi. 95. Sum of Focal Distances. From the results of the previous article follows at oncea very simple property of the ellipse. For, if we…

Geometry, Analytic

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