Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 87
d 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 8 withthe first set. — Let… … Fig. 43. Ch. VI, § 48] TRANSFORMATION OF COORDINATES 71 respect to the new axes (V, //). Draw its ordinates, MPand NP, and the lines KN and LN parallel to OX andOY. The angle at P is evidently equal to 6. OM=x, MP = y, ON=x\ NP = i/. Then 0M= OL-KN. But OL = OxYeos 0 = x cos ft and KN= NP sin 0 = y…
Geometry, Analytic
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