Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 87
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 6 withthe first set. — Let OXand 01^ be the… … I Ch. VI, § 48] TRANSFORMATION OF COORDINATES 71 respect to the new axes (a;^ ?/). Draw its ordinates, MPand iVP, and the lines KN and LN parallel to OX andOY. The angle at P is evidently eqnal to 6. OM=x, MP=ij, ON=x\ NP = y, Then 03I=0L--KN. But OL = OiYcos e = x cos (9, and KJV = NP sin 6 = y…
Geometry, Analytic
Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.
