An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 29
esian equation to the planethrough OZ which makes an angle a with the plane ZOX.Ans. (i) 4> = a-> (ii) ,y=#tan a. 7. Change of origin. Let xox, yoy, zoz ; clwol, /6 w/8,yooy, (fig. 3), be two sets of parallel axes, and let any point Pbe (x, y, z) referred to the first and (£ rj, £) referred… … Pig. 3. Then thereforewhence OL = OM + M L = OM + wH,x = a + g. Similarly, y — b + rj, z=c+g;g=x — a, r] = y — b, £=z—c. Ex. 1. The coordinates of (3, 4, 5), ( -1 - 5, 0), referred to parallelaxes through (-2, -3, -7), are (5, 7, 12), (1, -2, 7). Ex. 2. Find the distance between P, (xx, y1, zx) and…
Geometry, Analytic
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