Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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PHYSICES ELEMENTA
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numerorum quadrata. </
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<
s
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xml:space
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<
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bus partes reſpondentes evacuantur, etiam eſſe inter ſe ut
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unum ad duo; </
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<
s
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xml:space
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">quia in tempore duplo, celeritate dupla,
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quantitas quadrupla evacuatur. </
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<
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xml:space
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in eadem ratione pro ſingulis partibus reſpondentibus, tem-
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pora, in quibus integra vaſa evacuantur, ſunt etiam ut
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unum ad duo. </
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<
s
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xml:space
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<
s
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xml:space
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">tempora, ut de-
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monſtratione ſimili evincitur, erunt ut 1. </
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">& </
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<
s
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xml:space
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">in gene-
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re tempora ſunt ut celeritates, quibus partes reſpondentes
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evacuantur, quarum celeritatum quadrata ſunt ut vaſorum
<
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altitudines, in qua ratione ergo etiam ſunt
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porum.</
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<
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s
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">Dentur ex metallo tenui tria vaſa cylindrica A, C, B,
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diametros æquales habentia, & </
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<
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">quorum altitudines ſunt ut
<
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fig 7.</
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unum, tria, & </
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<
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<
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xml:space
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">unumquodque inciſionem in ora ha-
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beat, qua effluit aqua certam ſuperans altitudinem, quæ pro
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vaſis altitudine habetur; </
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<
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">in fundis vaſorum A & </
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<
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ſunt ut unum & </
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<
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">quatuor, foramina æqualia dentur, & </
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<
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quà impleantur; </
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<
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aqua ex B fluens vaſe C recipiatur, impletur hoc in tem-
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pore in quo A evacuatur: </
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<
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">C continet tres partes quartas
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vaſis B; </
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<
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">partem quartam, quæ ſupereſt, æquali etiamtem-
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pore cum vaſe A evacuari, a nemine in dubium vocari po-
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teſt; </
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<
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">bis ergo evacuatur A, dum B ſemel.</
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<
s
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">Tempora, in quibus vaſa cylindrica quæcunque evacuan-
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<
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tur, ſunt in ratione compoſita baſium , inverſa
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num , & </
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<
s
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">Dividi ita poteſt, vas cylindricum, ut partes inter diviſio-
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nes interceptæ æqualibus temporibus evacuentur, quod
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fig 6.</
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fiet, ſi diviſionum a baſi diſtantiæ fuerint ut numerorum na-
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turalium quadrata; </
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>
<
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">tempora enim evacuationum vaſorum,
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quorum altitudines hanc ſequuntur proportionem, ſunt
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ut numeri naturales , & </
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<
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les.</
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