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 124
ngent being the same as that of the curve, we have dysimply to find where —, or 3x2 — 2x (which is its general value in this curve) equals 1, 0, —1, or 00, as these are the tangents of the required angles. Thus forthe first we have to find the value of x which satisfies Sx^ — 2a; := 1. This gives£C… … Fig. 97. Answers, The curve is parallel at (0, 1), and (f, f^) i±n/: It makes an angle of 135° at x 3 , which being an imaginary point signifies that the curve in this plane does not make an angle of135° with the axis of x. It is perpendicular at ^ = + 00, and— 00 ; i. e., as the curve extends to…
Geometry, Analytic · Calculus
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