Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 325
ultiply by 12, 12 Area of the whole circle, 3.14159268=^ To find the circumference of this circle we will for the mo-ment represent it by x, and the radius by r. But the area ofany circle is the product of the circumference into half the radius, therefore -1-=^, and x==2n on the supposion that r=\.… … 316 INTEGRAL CALCULUS. NMio be a portion of an ellipse, N being at one extremity of the greater axis. As before, let N be the origin ofco-ordinates, J}fP=x, PM=i/f andfrom iTto the center of the circle, orto the center of the ellipse, we willdesignate by A. Then, if the curveis a circle, y=J^Ax—x^.…
Geometry, Analytic · Calculus
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