Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 204
resultant PiP„ on Ox. Any line can of course be takenas axis Ox. 200. Division Ratio. Two points Pi(xi, y^, z^) andPi (^212/2) ^2) lieing given by theircoordinates, the coordinates x, y, zof any point P of the line PjP^can be found if the division ratioP^P/P^P^ = k is known in whichthe point P… … Fig. log Similarly we find by projecting on Oy, Oz: y=yi + ^(yi-yi)> « = «i+fc(«2- ■Zi). If k is positive, P lies on the same side of Pi as does P^; ififc is negative, P lies on the opposite side of Pi (§ 3). 194 SOLID ANALYTIC GEOMETRY [X, § 201 201. Direction Cosines. Instead of using the…
Geometry, Analytic
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
