Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 225
= 2/o 4- y9 [12] z = So + z . 10. Transformation of coordinates from one set of rec-tangular axes to another which has the same origin. — Letiav Pv 7i)> (a2> && 72) an(^ (a3 $3* 73) ^e the directionangles of OX, OY\ andOZ* with respect to theoriginal axes. The coor-dinates (x, y, z)… … Fig. 9. X = X COS ai + y COS a2 + Z COS a3,y = x cos pi 4- y cos (32 + z cos p3,2 = x cos 71 + 2/ cos -y- 4- s cos 73. [13] Ch. I, § 10] COORDINATE SYSTEMS. THE POINT 207 Let the student show that the transformation of coordi-nates cannot alter the degree of an equation. (See Art.50 Part I.)…
Geometry, Analytic
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