Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 33
a system of rectangular toa system of ohliqm co-ordinates from a different origin. Let AB=^a, BA=b, AP—x,PM^y, AP=x, PM^y theangle XAX=^rR, and the angleYAX=-n. Xow by trigonome-try we have ^^=a;cos.m KP=^LH=^x sm.m PH=^KL^y cos. n And MH^^^y sin. 71. Whence x=a-\-xcoq, w-j-ycos. n, y=ih-\-x… … STRAIGHT LINES. 26 PROPOSITION^ X. To find the formulas for passing from a system of oblique co-ordinates to a system of rectangular co-ordinates, the origin beingthe same. Take the formulas of the last problem x=x coB.m-{-y Qos.n, y—xsm.m-\-y ^m,n. We now regard the oblique as the primitive axes,…
Geometry, Analytic · Calculus
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