Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 141
9) V^*+J5*+C* ^^^^ Expressions (7), (8), (9), and (10), are those sought. PROPOSITION X.—PROBLEM. To find the analytical expressions for the inclination of a planeto the three co-ordinate planes respectively. Let Ax-^By-^-Cz-^-D^O be the equa-tion of the plane, and let PQ representits trace or line… … EQUATION OF A PLANE. 133 nation of the plane with the horizontal plane (a;y). Our objectis to find the angle OSp. In the right angled triangle FOQ we have found A B Whence PQ=:^JA^-\-B^. Now PS, a segment of the hypotenuse made by the perpen-dicular OSy is a third proportional to QP and P 0.…
Geometry, Analytic · Calculus
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