Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 141
ourse, a curve remainsunchanged by any transformation of co-ordinates, although itsequation, whose nature depends in a measure on the relativeposition of the axes, may assume a slightly different form;and, as we shall see presently, the degree of an equationremains unchanged by any variation of… … (p.o)O^ Fig. 100. OX, OY are the old axes; OX, OY are the new axes. Pis any point in the plane whose co-ordinates are (x, y) to theold axes (cc, y) to the new axes. 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,…
Geometry, Analytic
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