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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 222

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 222
xes 10 and 6, Ex. 3. The same numbers as in Ex. 1, applied to the hyperbola.What are the co-ordinates of the point in the curve from which thechords are drawn? _B2 9 SuG.—^For the solution of the last question we have aa = — or a = —, a A^ 32 9being 2 ; y =z2{x —4) and y = —(a; -f-^) to find x and… … 3 IS, JPvoh,— To draiv, geometrically, a pair of supplementarychords to the transverse axis of a given ellipse so that the chords shallinclude a given angle. Solution. —Upon the - ^ transverse axis describe p^ a segment of a circleB P M A which shall con-tain the given angle—inthis case ABC.…

Geometry, Analytic · Calculus

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