Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 227
But P1B1 = x2 — xv A#i = #2 - VV and P\TX = z9 — zvFig. 2. Hence P1P2 = V(*2 - #i)2 + (2/2 - 2/O2 + (s2 - »i)2. [1]The distance, /a, of any point from the origin is P = V^ + 2/2 + z2. [2] evidently 4. To divide a line in any given ratio. — Let the point P P mP divide the line PXP2 so that —J— = PP… … Ch. I, §5] COORDINATE SYSTEMS. THE POINT 211 If PxP<i is projected un the other planes, we obtain in like manner = tggr, + mM d = rn^ + rnM. rg-, ini + m* * rni + m? L J If the line is bisected, these formulas become «=*4*. V=^tU\ and . = * + * [4] 2 PROBLEMS 1. Find the length of the line…
Geometry, Analytic
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