of the given 1 B_ T cycloid, and let EG be asemicycloid exactly equal toDA placed with its vertexat G and base EF parallelto BG;—ED another semi-cycloid equal to GA placedwith its vertex at D andbase parallel to DB. Let ^^iS, SPT be any positions of the generating circles of thecvdoids touching… … P.M. 16 242 MOTION ON A CUEVE. But QS is a tangent at Q to the cycloid SQC, and FS is normalat P to the cycloid CFA. Also the arc GQ = 2. chord SQ = PQ. Hence if we suppose a string of length = length of semicycloidEQG to be fastened at E and applied to the cycloid EQG, andif it be then unwrapped,…
Mechanics
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