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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 44

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 44
we find the followingtable of values, and points in the locus : When£e = l, y=±z v24 = ±: 4.9 nearly ; and we have points (1, 4.9) and (1,—4.9); « £>;==2, y.-^=fc ^^21 ==h4.6 nearly; (2, 4.6) and (2,—4.6); * 05=^3, y=rfc^l6 = =fc4 « (3, 4,) and (3,--4); ** a = 4, 2/=.rt:v/9 =±3 . « (4, 3,) and… … Constructing the points thus determinedthey are found to be in the circumference of acircle whose radius is 5, and which is sym-metrical with the axes, as in Fig. 12. It isalso to be observed that any values of x,fractional as well as integral, between thelimits x = 5, and x = — 5, give values for…

Geometry, Analytic · Calculus

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