Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 88
-fixed point arid a fixed straight line. This definition isin entire accord with Art. 53. Clearly from this definition Are = 1 in the parabola, hence (a)becomes y2 — 2 px + p2 = o,or y2 = 2 px — p2 (1). As itis usually convenient to havethe origin at the vertex O (inFig. 29) of the parabola, andas… … Fig. 29- changed. The co-ordinates of the new origin are [*-j o) with respect to the old, hence the transformation equations areas above, Off -f £. and y — y; 2 (1) then becomes y2 = 2 p (x; + 2.) — p2 = 2 px, 2 or [dropping accents] y2 = 2 px (B) The equation is derived directly from the…
Geometry, Analytic · Calculus
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