Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 235
x0 + ocf V = 2/o + V, [12] Z = Z0 + Z . 10. Transformation of coordinates from one set of rec-tangular axes to another which has the same origin. — Let(«ii fiv Yj), («2, £2, 72), and («3, /33, y3) be the directionangles of OX\ OY\ andOZ with respect to theoriginal axes. The coor-dinates (#, y, 2)… … Fig. 9. ac = x COS ai + y cos a2 + Z COS a3,y = 05 cos Pi + y cos p2 + s cos p3,3 = 05 cos 71 + 2/ cos 72 + z COS 73. [13] Ch. I, § 10] COORDINATE SYSTEMS. THE POINT 219 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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