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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 145

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 145
-y= - W(=^ -) which is the equation of the normal, PK. 1. To find the point in which the normal intersects fheaxis of -3r, make y = 0, and we have. cjsr = X A^A- B^ x\ and by eubtractuig ic, we find the sub-normal,BN^ 4- —W- Ui ANALYTICAL GEOMETRY. [bOOK V. Tangent bisects the angle of the two… … ^ Aex-A^ A{€x-A)^and TF=Ae---r, = -7, = -^^>7 ; hence, FT : TF : : ex + A : ex - A, By referring to the values of r and r (Art. 8), and re-memhering that -j = ^ ^^ have, r ; r : : ex ■\- A : ex - A;hence,* FT : TF : : r : r. Therefore, PT bisects the angle FFF\ Hence, i^ a ?jwe he drawn tangent…

Geometry, Analytic · Calculus

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