Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 89
nd the equa-tion of the same line, referred to a set of axes, parallel to theold, through the point (2, — 5) as origin. Plot the locus with respect to both axes. 47. Transformationfrom one set of rectangu-lar axes to another, hav-ing the same origin andmaking an angle 9 withthe first set. — Let… … Eig. 43. Ch. VI, § 48] TRANSFORMATION OF COORDINATES 71 respect to the new axes (x1, y~). Draw its ordinates, MPand NP, and the lines KN and LN parallel to OX andOY. The angle at P is evidently eqnal to 0. OM=x, MP = y, 0~N=x\ NP = y.Then 0M= OL-KN. But OL = ON cos 6=xr cos 0, and KN = NP sin 0 = y…
Geometry, Analytic
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