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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 156

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 156
THE HYPERBOLA. 141 CHAPTER VIII.THE HYPERBOLA. 102. The hyperbola is the locus of a point so moving in aplane that the difference of its distances from two fixed pointsis always constant and equal to a given line. The fixedpoints are called the Foci of the hyperbola. If the pointsare on the given… … Fig. 47. Let F, F be the foci, and AA the transverse axis. DraAvOYlto A Aat its middle point, and take OY, OX as the 142 PLANE ANALYTIC GEOMETRY. co-ordinate axes. Let P be any point of the curve. DrawPF, PF; draw also PD || to OY. Then (OD, DP) = {x, y) are the co-ordinates of P. Let AA =2 a, FF =…

Geometry, Analytic

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