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 135
points onthe circle beginning with R, be (xf, yx), {ocy y2), (xf, y3) etc. Then Area mnpo = (x — x) y. The corresponding rectangle in the circle mnRS = (xf — x) yv . m^RS _ lx — x\ yx _ yt __ amnpo \x — x) yr yf b As this is a typical rectangle each circle rectangle is toeach ellipse rectangle as a… … Fig. 50. number of the individual rectangles the relation is thesame when the number of rectangles becomes infinite. But Analytical Geometry. 127 in this latter case the sum of the areas approach, respec-tively, the area of the circle and that of the ellipse; hence,finally, Area of the circle _…
Geometry, Analytic · Calculus
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