Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XXIX.
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ſionum laminæ ed. </
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bulæ diviſionem ab utraque parte ponantur, ſagitta erit qua-
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tuor diviſionum laminæ, & </
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tum.</
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<
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">Fibræ ejuſdem generis, ſed diverſæ craſſitiei, ſi inter ſe
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comparantur, poſſunt conſiderari quaſi formatæ ex multis
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fibris tenuiſſimis ejuſdem craſſitiei, quarum numerus in fi-
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bris memoratis erit in ratione ſoliditatis harum fibrarum,
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id eſt, ut quadrata diametrorum, aut ut pondera quando
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fibræ ſunt æquales. </
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<
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torum diametrorum, hæ fibræ æqualiter tenduntur; </
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etiam ratio inter vires, quibus chordæ inflectuntur, requi-
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ritur, ut ſagittæ datis fibris æqualibus ſint æquales. </
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minuendo in eadem ratione vim, qua fibra tenditur, cum
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vi, qua inflectitur, ſagitta non mutatur ; </
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<
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ribus, quibus fibræ tenduntur, æqualibus, ſi æqualibus vi-
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ribus inflectantur, etiam in eo caſu ſagittæ erunt æquales,
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quæcunque fuerit craſſitiei diverſitas.</
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<
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4.</
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lis craſſitiei; </
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<
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fig. 2.</
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tìbus H, H, ſi eodem pondere Ptendantur, & </
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pondere Linflectantur, ſagittæ erunt æquales.</
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<
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">Sichordautcunque tenſa AB inflectatur, ut figuram ACB
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acquirat, & </
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fig. 1.</
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redit, & </
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ACB chordæ, punctum Cmovetur, nam trahitur vi qua in illo
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ſitu retineri poteſt; </
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ditur, in ſingulis punctis ſagittæ, motus oriundus ex vi qua pun-
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ctum C in ipſis retineri poſſet; </
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in c, & </
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que vibrationes peragit, in quibus punctum C niſi parva ſpa-
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tia non excurrit; </
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tiis a c, agitatur punctum C, eſt ut hæc diſtantia . </
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ergo motus hicce cum motu corporis in cycloïde vibrati,
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& </
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