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 149
nt as P in M N. It is true that reckon-ing along the curve from M to N the curvechanges direction of curvature with referenceto the axis of x ; but not so in reckoning along AX. From D to D the curve is both concave and convex towards the axis, anddoes not change at P, but is limited there. ISO,… … Fig. 122. 120 PEOPEETIES OF PLANE LOCI. point of inflexion — must change sign, and hence must = 0, or oo, .-.If there be a point of inflexion it is where ^ = 0 or oo. Having determined this point, either construct the curve in the neighborhood of it, or, better, substitute in ^ avalue of X a httle…
Geometry, Analytic · Calculus
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