Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 43
, referred to theold system; b = the ordinate of 0; x^ = the abscissa Ol/ of P referred to the new system; y = the ordinate M^P of P referred to the new system.We then have 0 M M x _X x - X - «;) ^^^^ y = y - h^ CO-ORDINATES AND LOCI. 27 which are the required expressions for the new co-ordinates… … Angle XOP = cp - 6, Putting, as before,x and y for the co-ordinates referred to the new system, andX and y the co-ordinates of the old system, we have, by § 25, X = r cos cp, 2/ = ^ sin cp, (a) x = r cos((p — S); y = r sm((p — 6). (d) By trigonometry, cos((p ■— 6) = cos q) cos d -|- pin q) sin…
Geometry, Analytic
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