Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 146
apply onlywhen the equations of the curves are in the simplest form. Cn. X, § 7G] TANGENTS 129 He is advised not to use them in solving problems, asthey are not easily remembered, but in each case to writethe equation of the tangent and then that of a perpen-dicular to the tangent at the point of… … Eig. 70. In the ellipse (Fig. 70) MXT is the subtangent andJfjiV is the subnormal for the point Pv The equationof the tangent at P1 is b2xxx -f a2yxy = a2b2, and the equa-tion of the normal is cPy1x—b2xxy — (cP — b2:)x1yl. Find-ing the intercepts on the X-axis, we have CT=~ and CN= ^ ~ ^ xv But…
Geometry, Analytic
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