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 179
etween ?n andn, the co-ordinates of the evolute, which is therefore its equation. ScH.—The equation of the locus, y =f{x) is needed in connection withthe values of m and n, only when these values contain both x and y. Ex. 1. Find the equation of the evolute of the common parabola. dv p d^v… … N ^N Fig. 155. n2 = 27~^^~-P^^ ^^^^^ ^^ *^® equation sought. Tracing the curve we findMAN, Mg. 155. If we transfer the origin to A, the equation becomes n^ = 27p m^ 224, ScH.—This locus is called the Semi-cubical Parabola, any curvehaving infinite branches and no rectilinear asymptotes being called…
Geometry, Analytic · Calculus
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