A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 192
In 1853 Mr. Rutherford presented to the Royal Society ofLondon a computation by Mr. W. Shanks of Houghton-le-Spring, extend-ing the decimal to 530 places. The following is its value to 50 places : 3.141 592 653 589 793 238 462 643 383 279 502 884 197 169 399 375 10. Ex. 4. Rectify the cycloid.… … 2(2r)(2r — 2/) + ^^- Making y = 2r, 2 = 5 the cycloidal arc = 4r, whence the entire arc of the cycloid is seen to be 4 times the diameter of the generatrix. 242, CoE. 2.—Any arc of a cycloid, edimated franx ike vertex, isequal to twice the corresponding chord of the generatrix. * Dem.—Resuming the…
Geometry, Analytic · Calculus
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