Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 53
, andparallel to the .Z-axis a distanceI, without changing their directions, the transformation (1) iscalled a translation of axes. 37. Rotation. Let the coordinates of a point P, referred to aset of rectangular axes OX, OY, OZ, be x, y, z, and referred toanother rectangular system OX, OY, OZ… … Art. 37] ROTATION 39 We shall show that X = Aix + XoXi + Ajz, y = ii.,x + /xo?/ + M32, (2) 2 = vix + v^y + v^z. For, the projection of OP (Fig. 20) on the axis OX is x. The sumof the projections of OL,LM, and MP is A,.r + A.^^+ A32:. That these two expres-sions are equal follows fromArt. 2. The…
Geometry, Analytic
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