Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 142
124 TRANSFORMATION OF CO-ORDINATES 125 Now, a; = OL = M0+ OL = A + x,7/= PL = NO+PL = k + 2/. Hence, to transform to a new origin (A, k) with new axesparallel to the old, we put x + h for x, and y -\- k for y\ or, inthe end, the accents may be dropped, giving X -\- h for X, y + k for y. Note. — To… … Fig. 101. P is any point {x, y) old axes, and (x, y) new axes.PM is ± to OX and MM is ± to PL. Now Similarly, X = 0L = OLOL -LL-MM OM cos 6 — YW sin ^. X = x cos e- y sin 0, y = x sin 0 + y cos Q, 126 ANALYTICAL GEOMETRY The accents may be dropped after transformation.The combined changes of §§91…
Geometry, Analytic
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