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An elementary treatise on mechanics for the use of the junior classes at the university ... With a collection of examples (1863)

Parkinson, Stephen, 1823-1889 · Cambridge [Eng.] Macmillan · leaf 251

An illustration from An elementary treatise on mechanics for the use of the junior classes at the university ... With a collection of examples, 1863, leaf 251
d in one revolution ofthe circle, G, D the points where the tracing point P quits andreturns to the line CD, SPT the position of the circle when thetracing point is at P, BQA its position when the tracing pointP is furthest from the liae GD; then it is evident that the parts ofthe curve AG, AD will… … Since P starts from C, and every point of the arc SP has beenin contact with the line CS,—the arc SP = SG; and since the lineCB is equal to the semicircle BQA, which is = semicircle SPT,therefore arc PT=BS = PQ, since BQ is parallel and equal to PS. Hence if we suppose the circle to begin rolling…

Mechanics

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