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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 107

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 107
will be a point in the curve.Draw any other line, as hJc, and set off lcv=zdh, then v is anotherpoint in the curve. And thus we might find other points be-tween V and g, or on either side of v and g. PROPOSITION XII. To find the polar equation of the hyperbola^ the pole heing ateither focus. Take… … A I ex (1) r=A-\-. ex (2) Now the problem requires us to remove the symbol x, andreplace its value by some quantity expressing the value of thesine or cosine which r and ? make with the transverse axis. 1st. In the right angled triangle PFH, if we designate theangle PFHhj v, we shall have 1 : r : :…

Geometry, Analytic · Calculus

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