Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 230
e 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, § 6] COORDINATE… … Fig. 5 cosines of the line OP, and may be represented by theletters Z, ???., and n. Let L, M, and JV be the projections of P on the axes.Then OL = x, 031=7/ and ON=z; and from right tri-angles we have X = p COS a, y = p COS P, [6] » = p COS Y. These equations give the relations between the…
Geometry, Analytic
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