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 210
raw a tangent to a parabola at any point as R, Fig. 188, let fall the ordi-nate PD, take AT == AD, and draw PT. 180 PBOPERTIES OF PLANE LOCI. Ex. 2. What is tlie subtangent to y^-:= 10^, at .r = 6? At2/===8?At 2/ = 12 ? Draw these tangents according to the schohum. Ex. 3. Find the value of the… … Fig. 189. 274:, ScH. 1.—From this example we learn that the subtangent in the ellipse does not depend upon the conjugate axis, but only on the transverse axis and the abscissa of the point of tan- C| gency. Hence if sevei^al ellipses he drawn on the same transverse axis the subtangenis…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
