Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 227
(- 3, 4, 1), (- 3, - 1, 2), (2, - 3, 1), (1, 1, - 2),(-1, 4, -2), (-3, -2, -1), (4, -1, -2); (3, 4, 0),(-2, 0, 1), (0, -1, 3); (5, 0, 0), (0, 3, 0), (0, 0, -2). 3. Distance between two points. — Let Px and P2 beany two points in space, and through each of thempass three planes parallel to the… … iyy = />,*,+ JW +P1T1. 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…
Geometry, Analytic
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