Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 65
w=0,which reduces the preceding equation to [(^) {A^sm.^n-\-B^Cos.^n)y^-\-{AHm.m-{-B^ cos.^m)x^=zA^B^,which is the equation required. But it can be simplified as fol-lows ! The equation refers to the two di-ameters BB and DD as axes. Forthe point B we must make y=0,then ^-= ^!^ =… … THE ELLIPSE. These values put in (F) give x^=:A^Br B^ A^ Whence A^y+Bx^=A^B^. We may omit the accents to x and y\ as they are generalvariables, and then we have for the equation of the ellipse referred to its center and conju-gate diameters. Scholium. In this equation if we assign any value to x…
Geometry, Analytic · Calculus
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