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Analytic geometry and principles of algebra (1913)

Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 365

An illustration from Analytic geometry and principles of algebra, 1913, leaf 365
nate trihedral Oxyz to anotherOzyz, with the same origin 0, wemust find expressions for the old co-ordinates X, y, z of any point P in termsof the neio coordinates x, y, z. Wehere confine ourselves to the case wheneach trihedral is trirectangular; this isthe case of orthogonal transformation^or… … Fig. 150This is indicated by XVIJ 389] QUADRIC SURFACES 353 x y z X h h h if rill lit 2 Ills z h II2 n-.i which shows at the same time that tiieii the direction cosines of the oldaxis Ox with respect to the new axes Ox. Oy. Oz are /i, Zo, /g, etc. 388. The nine direction cosines /i. /o, ••• n^ are…

Geometry, Analytic

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