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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 349

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 349
. vn. brfse of the cycloid. The line -Z?J/, drawn perpendicularto the base, at tlie middle point, is called the axis of thecycloid^ and is equal to the diameter of the generatingcircle. Transcendental Equation of the Cycloid. 109. Let CN be the radius of the generating circle.Assume any point, as… … Through N^ drnw the diameter KG^ of the generatingcircle : it will be perpendicular to the base AL. ThroughP. draw PR perpendicular to the base, and PQ parallelto it. Then, PP — KQ will be the versed sine, and PQthe sine of the arc NP to the radius CN. Pat, CR = r, AP = X, PP = JSTQ = y, we shall…

Geometry, Analytic · Calculus

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