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Analytic geometry for colleges, universities, and technical schools (1892)

Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 121

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 121
-^,0 106 PLANE ANALYTIC GEOMETRY.. CHAPTER VII.THE ELLIPSE. 74. The ellipse is the locus of a point so moving in a planethat the sum of its distances from two fixed points is alwaysconstant and equal to a given line. The fixed points arecalled the Foci of the ellipse. If the points are on thegiven… … Fig. 35. Let F, Fi be the foci and AA the transverse axis. DrawOY J_ to AA at its middle point, and take OY, OX as theco-ordinate axes. THE ELLIPSE. 107 Let P be ar.y point of the curve. Draw PF, PFj; drawalso PD II to OY. Then (OD, DP) = (x, y) are the co-ordinates of P. Let AA= 2a, FFi = 20F =…

Geometry, Analytic

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