Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 222
to (— 5, — 2, 3). 152. Point dividing a given segment in a given ratio. Let P be P P a point on the segment P^P^ situated so that -^~=r, a given -/-to P P r number. Then, by composition, —— = -. Tlirough P draw planes perpendicular to the coordinate axes. These planes divide Art. 152] POINT… … Substituting, we^X have X^— U/1 ~|~ v*^2 1 y Fig. 124 ^1 r t^2 ~ r+1 * Similarly, v^e obtain r + 1 r + 1 r + 1 Z = Zi + (Zo — Zi) r ^ gj + rz2r+1 r+1 EXERCISES 1. Fiud the coordinates of the point dividing the segment joining thefollowing points in the given ratio r. (a) (3, 4, 2), (7, - 6, 4), r =…
Geometry, Analytic
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