Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 311
quationAx-{- By -\- Cz -{-1) = 0 by ± V^l^ + B^ + C^ according as D isnegative or positive. It follows at the same time that the direction cosines of anynormal to the plane Ax + By -h Cz -\- D = 0 are proportionalto A, B, C, viz. ; A B ± V^- + B + C2 ± V^2 + ^2 _^ ^2 c n = ± VA- + 5- + Cand that… … Fig. 134 318. Distance of Point from Plane. Let Ix -\- my -f nz = pbe the equation of a plane in the normal form, Pi(.i*i, /a, z^)any point not on this plane (Fig. 134). The projection OS ofthe vector OP^ on the normal to theplane being equal to the sum of theprojections of its components OQ =Xy,…
Geometry, Analytic
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