Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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<
s
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xml:space
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">(II) Quæritur nunc idem tempus pro ſecunda rurſus hypotheſi, ſi
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tubus ejusdem fuerit amplitudinis eodemque foramine inſtructus, ſed oblique
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ſitus longitudinemque b habuerit 184 perticarum ſeu 1104 pedum Pariſ. </
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<
s
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xml:space
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">dum al-
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titudo ſuperficiei aqueæ ſupra orificium effluxus ſit 16. </
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<
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<
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<
s
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xml:space
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">Ita fiet b =
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1104, & </
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<
s
xml:id
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xml:space
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">{bb/a} = 76176. </
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<
s
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xml:space
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">atque præterpropter θ = 72 ſec. </
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<
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xml:space
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">min. </
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<
s
xml:id
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xml:space
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">unde tempus
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quæſitum medium eſt inter octo novemque minuta ſecunda, quod certe ſatis
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notabile eſt. </
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<
s
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xml:space
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">Si vero tempus deſideretur, quo altitudo v exæquet tantum quar-
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tam partem altitudinis a, reperietur illud æquale {72/50} log. </
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<
s
xml:id
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xml:space
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">3 = proxime uni mi-
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nuto ſecundo cum dimidio.</
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<
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xml:space
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</
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<
s
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xml:space
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">Neſcio an hæc conveniant cum iis, quæ Mariottus à ſe obſervata refert
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in tract. </
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<
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xml:space
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">de mot. </
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<
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<
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">1. </
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<
s
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xml:space
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">ubi mentionem facit alicujus fontis ſa-
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lientis, qui eſt à Chantilly, ad quem aquæ devehuntur per canalem 184. </
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<
s
xml:id
="
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xml:space
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">pertic{as}
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longum, ſi modo recte ex antecedentibus conjeci, eratque ſumma ſuperficiei
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aqueæ altitudo ſupra orificium effluxus indicata per a ſedecim pedum: </
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<
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ter aquæductus erat 5. </
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<
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">poll. </
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<
s
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xml:space
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">orificium autem habebat diametrum unius pollicis.
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</
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<
s
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xml:space
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">Videtur mihi Mariottus ita loqui ac ſi accelerationes multo fuiſſent tardiores,
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quam ab formula noſtra indicantur, quod neſcio an tribuendum ſit huic quod
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fortaſſe alium, præter orificium de quo hic ſermo eſt, exitum habuerint aquæ,
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an, quod aquæ ductus dum fluxus inciperet non fuerit aqua plenus, quod
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poſterius multa faciunt, ut credam; </
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<
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xml:space
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">ſi neutrum fuerit, confido phænomena
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qualia à Mariotto obſervata fuerunt & </
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<
s
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xml:space
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">quotidie de novo obſervari poterunt pla-
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ne conveniſſe cum calculo noſtro. </
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<
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xml:space
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">Cæterum verba Mariotti hæc ſunt: </
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Illud inſuper, ait, ſingulari eidem jactui accidit, quod obturato manu orifici@
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per decem aut duodecim ſcrupulorum ſecundorum temporis ſpatium eodem{q́ue}; </
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<
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ſtea reſerato, aqua non protin{us} erumpat, ſed paullatim aſſurgens jact{us} aſcen-
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dat ad 3. </
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<
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<
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">poſtea ad pedis altitudinem & </
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<
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xml:space
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tabilibus intervallis.</
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<
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xml:space
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">Sedtandem tamen toto impetu ſuo aquæ exiliebant.</
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<
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<
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<
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<
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conſervandum, dato tempore transfluentem.</
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