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 130
are X = —-, and Y= j, and that the proposition in X y Ex. 1, is true also of the hyperbola. 139, ScH.—This principle also affordsa method of drawing a tangent to an hy-perbola geometrically. From the givenpoint of tangency P, let fall the ordinatePD ; and upon the transverse axis HB,and the… … Fig. 102. AD (or x) : AL (or J) : : AL (or A) : AT.intercept made by a tangent at P. Whence AT == — and is the x Ex. 3. Prove that, if a tangent be drav^n to a parabola at any point,the intercept on the axis of x is equal to the abscissa of the point oftangency. 8UBTANGENTS—BY BECTILINEAR…
Geometry, Analytic · Calculus
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