Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 351
7y-j^. or, dx = ^^^ ■ \/2ry - 2/^ /2ri/ - y^ ^y ^ yi which is the differential equation of the cycloid. Sub-Tangent, Tangent, Sub-Normal, Normal. 111. If we substitute in the general equations of Arts. 45, 46, 47, and 4§, the value of ^^ found in the dif dx ferential equation of the cycloid, we… … These values are easily constructed, from their conneo-tion with the parts of the generating circle. The sub-normal BN^ for example, is equal to PQ ofthe generating circle, since each is equal to -y/lry — y^jhence, the cormal PiV, and the diameter GN, intersectthe base of the cycloid at the same…
Geometry, Analytic · Calculus
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