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 294
s of its components are readily seen to liohlin three dimensions as well as in the plane. Analyticallythese propositions follow by considering^ tliat whatever thepoints Pi(x,, ?/i, z,), P.u-,, ?/o, z.^, ■■ P,f.i\^, ip^, z^) in space,the sum of the projections of the vectors FxP^, PPzj Pn-i^non the… … 295. Division Ratio. Two points P, (x^, ip, ^i) andP^i:^^-^^ ll-i^ ^2) heing given by theircoordinates, the coordinates x, y, zof any point P of the line PyPocan be found if the division ratioPyP/P^P2= h is known in whichthe point P divides the segmentP,P, (Fig 124). Let Qx, Q, Qohe the projections…
Geometry, Analytic
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