Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 227
. 1. PROBLEMS 1. Plot the following points : (5, 4, 3), (- 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 F^ and F^ be any two points in space, and… … Fig. 2 parallelopiped equals the sum of the squares of its edges, F,P, = P,R, 2 j_ p o 2 But P^R^ = X^ Xy, P,S\ = ^2 - VV md Pi7\ = H-H P\P-!. = V(a!2 - a!i)= + iV-i - VlY + (S2 - sO= [1] The distance, />, of any point from the origin isevidently p = Va?-^ + y^ + ^^ [2] 4. To divide a line in…
Geometry, Analytic
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