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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 78

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 78
-. .-. cos a = —.3827; and a = 112° 30. Substituting thevalues of e, sin a and cos a in (3), (4), and (5), they become (Sy) n = .7Q5d ;(4i), m = .586— .317d; and (5,) 7n-^ + n^ = .82ri^. Substituting these valuesof m and n in (SJ, we find d = .72, and — 3.34. Finally n = .765d = .55, and^2.55. m =… … To construct the figure, drawG G througli the origin, making anangle of 112^ 30 with the axis ofX. Locate the foci, F, F, at (.36, Q..55), and (1.64, —2.55). Throughone focus, as F, draw a line ZZ ^parallel to GG, and it will passthrough the other focus, F, if thework is right. Take AG = .72and AG…

Geometry, Analytic · Calculus

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