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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 104

An illustration from 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, leaf 104
l + e r = ^(1 — e^) = p For 0 = = A — Ae, which is the value of A B, as it should ScH. 3.—Discussion of the JEqua- A{1 — e^ for the Hyper- … tion r 1 — e cos bola.—Kemembering that in the hyperbola e > 1, we observe that ^(1—e-) is essentially negative, and hence that the sign of r depends upon the sign of the denominator, 1—e cosQ; r being + when e cos e>l, and — when ecose<l. Now for 6 = 0, r = __ :: = A -^ Ae, 1 —e which…

Geometry, Analytic · Calculus

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