A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 116
hen 2/2 =0, Xs becomes Aj B2. Hence calling Ai B2 Aj, we have ^.j- ^= -—-. -^ , A^Bin-^a-^-B^cos^a A^B^or A^sin^ a -\- B- cos^ a = —r^. In hke manner for x^ = 0, 2/2 becomes Ai D^. Ai^ A^B^ Hence calling Ai D, B,, we have B-,^ = , or A^sin^a 4- ^ A^ sm^ a + 252 cos2 a ^ A^B^Bcos-a = -zr-T.… … FROM ONE RECTILINEAR SET TO ANOTHER. 87 ScH.—^Diameters so situated as to make tan a tan a = — are Conju- gate Dia7aeters, as will appear hereafter. Hence the equation of the ellipse re-ferred to conjugate diameters, and in terms of those diameters, is of the sameform as the equation of the curve…
Geometry, Analytic · Calculus
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