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 326
- xi) + B(y - yO + C{z - z^ = 0.The equations of any line through the same point are X — xi __ y -yi _ z — zxa b c If this line is perpendicular to the plane, we must have (§ 332) : a/A =b/B = c/C. Hence the equations X — xx _y— y\ _z — ZxABC represent the line through Fx{xx, y\,zx) perpendicular… … I m n where (xx, yi. zi) is a point Pi of X (Fig.137), the distance d = QP2 of the point-P2(.2. 2/2, 5:0) from X can be found fromthe right-angled triangle Pi QP2 which gives d^ = P,Po2 - p,Q2^by observing that PlPo2 = (Xo - X,Y 4- (?/2 -?/i)2 + (Z2 - Z,Y, while Pi^ is the projection of P1P2 on X.…
Geometry, Analytic
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