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Hydrostatics and elementary hydrokinetics (1892)

Minchin, George Minchin, 1845-1914 · Oxford : Clarendon Press · leaf 413

An illustration from Hydrostatics and elementary hydrokinetics, 1892, leaf 413
describes the lineOx, parallel to LM. Let C be the position of 0 at anyinstant; then if Q is the angle rolled through, we haveOC = BI = RO, where / is the point of contact of therolling circle with LM. Now to find the position, P, 398 Hydrostatics and Elementary Hydrokinetics. occupied by the point… … Fig. 113- arrow a. Hence the line OA has revolved through thisangle, and therefore if w^e draw CB parallel to Oi and equalto r, we obtain the position B to which A has come. The trochoid traced out by A is the wavy curve ABQ^,symmetrical at both sides of the line OA \ and obviouslythe trochoids…

Hydrostatics · Hydrodynamics

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