Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 230
be a set ofrectangular 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, /3, and 7which OP makes with the coordinate axes. The distance p is called the radius vector of the point Ch. I, § G]… … Fig. 5 cosines of the line OP, and may be represented by theletters Z, m, and n. Let L, M, and iV^ be the projections of P on the axes.Then OL = x, 0M= y and ON=z\ and from right tri-angles we have ° ic = p cos o, 2/ = p cos p, [6] 2; = P cos Y. These equations give the relations between the…
Geometry, Analytic
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