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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 149

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 149
semi-axes OA, OB describe the circles ARA, BOB. Draw anyradius OR of the larger circle, cutting the smaller circle in M ;draw MIST || to OA, cutting the ordinate let fall from E in jST ;N is a point of the ellipse. Since MN is parallel to the baseof the triangle EDO, we have DN : DR :: OM : OR;i.… … Fig. 46. THE ELLIPSE. 135 Inscribe in the ellipse any polygon ARRiE,2E3l^4A, andfrom its vertices draw the ordinates RD,RiDi, etc., producingthem upward to meet the circle in P, P^, Pg, etc. Joiningthese points we form the inscribed polygon APP1P2P3P4A inthe circle. Let (x, y^), (x, y{), {x, y<^…

Geometry, Analytic

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