Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 220
be a set of rectangular axes in space, and let P be any point. DrawOP. The position of P is evidently determined if we knowits distance p from the origin, and the angles a, ft, and 7which OP makes with the coordinate axes. The distance p is called the radius vector of the point Ch. I, § G]… … cosines of the line OP, and may be represented by theletters ?, w, and n. Let X, M, and 2V~ be the projections of P on the axes.Then OL = x, OM= y and ON= z ; and from right tri-angles we have jc—p cos a,y = p COS P, 2! = p cos y. [6] These equations give the relations between the rec-tangular and…
Geometry, Analytic
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