Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 26
clination of the two lines will be greater or less accordingto the relative values of a and a. Let PQhQ the given line (thetangent of its angle with the axisof X equal a) and PR the otherline which shall pass throughthe given point P and make agiven angle QPR. The tangentof the angle PRX=:a.… … m=t&n.(PRX—PQR) = }-\-aa (3) Whence a = L— This value of a put in (2) gives g—g=(lL^\(x—x)\ 1—7na / for the equation sought. (4) 18 ANALYTICAL GEOMETRY. Corollary 1. When the given inclination is 90°, m its tangentis infinite, and then «==—-. We decide this in the following manner : An infinite…
Geometry, Analytic · Calculus
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