Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 235
v: 10. Transformation of coordinates from one set of rec-tangular axes to another which has the same origin. — Let («ii /^i, 7i), («2 ^^2^ 72) ^^^ i.H /^3^ 73) ^® ^^^® directionangles of 0X\ OY, andOZ with respect to theoriginal axes. The coor-dinates (x^ y, z) of anypoint P are the projec-tions of… … Fig. 9. QC = 0C COS ai + y cos as + Z COS as, y = Qc cos Pi + y cos P2 + z cos ps, z = x cos -yi + y 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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