Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 146
the equations of the curves are in the simplest form, Ch. X, § 76] 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 contact. 76.… … Tig. 70. In the ellipse (Fig. 70) M^T is the subtangent andM^N is the subnormal for the point Pj. The equationof the tangent at P^ is f^x^x + aPiJiy = a%^^ and the equa-tion of the normal is a^y^x— Wx-^y = (a^ — y^^x^j^. Find-ing the intercepts on the X-axis, we. have CT=^-, and CN=^^~}^^x,, But…
Geometry, Analytic
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