Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 72
y=r vers - + V2 rxr Art. 27. — Prolate and Curtate Cycloids When the genercating point instead of being on the eircuni-ference is a point fixed in the pkme of the rolling circle, thecurve generated is called the prolate cycloid when the point iswithin the circumference, the curtate cycloid when the… … Fio. 40 * If the cycloid is concave up and the tanfjcnt at. the vertex horizontal,the time required by a particle sliding down the cycloid, suiJjiosed friction-less, to reach the vertex is independent of the starting point. On accountof this property, discovered by Huygens in 1G73, the cycloid is…
Geometry, Analytic
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