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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
. But, in the parabola, AB = ip For 6 = 270°, r = p, as it should. (Let the student discuss in like manner the formP r == versin 6 ) ScH. 2.—DiscussioTi. of the equation r =u4(l — e2) :; for the Ellipse.—^For 6 = 0, r = 1 — e cos 9 -^ A{l — e^) ——— = A(X -{-e) = A -\- Ae) which makes AC = J. + Je,… … 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-

Geometry, Analytic · Calculus

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