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 172
and l + ^^ d*y dx-^ Q. E. D. Solution 2.—Let P, P, and P, Fig. 150, bethree consecutive points through which thecurve M N, whose equation is y = f{x), andthe osculatory circle mn whose equation is(x — m)2 -{- {y — nY = r\ pass, and betweenwhich they coincide. PP, and PP are thento be considered… … Fig. 150. KATE OF CURVATURE. 143 the centre of the osculatory circle may he conceived as the intersection of two consec-utive normals. Having premised the above fact, letM N, Fig. 151 be a curve whose equationis y=f[x). Let PC and PC be two con-secutive normals. Then is C the centreof osculation,…
Geometry, Analytic · Calculus
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