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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 206

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 206
so the parabola whose equation is x^ = ay . . . (2) Let NPO be this curve. Then OA (= x), the abscissa of their point of intersectionis the required edge. For eliminating y between (1) and (2), we have x^ = 2 a\ This problem attained to great celebrity among the ancientgeometricians. We shall point… … Fig. 61. 192 PLANE ANALYTIC GEOMETRY. MIST (equal to the ordinate MN let fall from the pointM on the diameter through 0) as the chord revolves aboutthe origin 0. It may also be defined as the locus generated by the inter-section of a tangent to the parabola ^/^ = — 8 aa; with theperpendicular let…

Geometry, Analytic

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