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Elements of analytic geometry (1916)

Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 273

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dinate trihedral Oxyz to anotherOxyz, with the same origin 0, wemust find expressions for the old co-ordinates X, y, z of any point P in termsof the new coordinates x, y, z. Wehere confine ourselves to the case wheneach trihedral is trirectangular; this isthe case of orthogonal transformation,or… … Fig. 135 This is indicated by a; y z h h h mi Tfli Wis Bl ni W8 XIII, §293] QUADRIC SURFACES 263 y z which shows at the same time that then the direction cosines of the oldaxis Ox with respect to the new axes Ox, Oy, Oz are h, h, h, etc. 292. The nine direction cosines li, h, ■■■ n^ are sufficient…

Geometry, Analytic

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