Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 51
ocms, is calledthe eccentricity when the semimajor axis is unity. 10. —The parameter of an ellipse is the double ordinate passingthrough one of the foci. PROPOSITIOIf I. To find the equation of the curve, the origin of the co-<yrdinaiesbeinff in the center, the major axis being given, also the… … THE ELLIPSE. 43 As FP-\-PF=<2,A, we may put FP=A+z, and PF=A—z.Then the two right angled triangles FPt, FPt, give us{c+xY+y^^={A^zY (1) {c—xY+y^-={A—zy (2) For the points in the curve which cause t to fall between c andF, we would have {x-cY+y-=.{A-zY (3) But when expanded, there is no…
Geometry, Analytic · Calculus
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