Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 141
equation of a A-curve is found by holding x\ constantin (1), just as the equation of an m-curve is found by holding x{constant in the same equation. It is further evident that all k-curves which pass through a point Mare transformed into points K which lie on the curve m. If any proof of this is… … The m-curves corresponding topoints M on c form a one-parameter family of curves which in general have an envelope «/,and the curve c is said to be transformed into the curve c. To follow this analytically let M^x^ x2, xs~) (Fig. 44) be thepoint on c corresponding to the value \ of \, and let M2 be…
Geometry, Analytic
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