Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 217
= pjtf + pa Eig. 2 But P1B1 = x2 — xv and P\TX = z2 — zv Hence PXP2 = Vte - a>i)2 + (2/2 - 2/1)2 + (»2 - zi)2. [1]The distance, p, of any point from the origin is p = V«2 + y2 + s2. [2] evidently 4. To divide a line in any given ratio. — Let the pointP divide the line PXP2 so that P,P Project… … Ch. I, §5] COORDINATE SYSTEMS. THE POINT 199 If PXP2 is Projected on the other planes, we obtain inlike manner = ma + mo* d = *M^. [3] If the line is bisected, these formulas become «=*!+*, 1,=^, and .=S + * [4] PROBLEMS 1. Find the length of the line joining the two points(3, 2, — 1) and (4, — 2,…
Geometry, Analytic
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