Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ.
"/>
nantium à preſſionibus fluentium, quamvis id nemo adhuc animadverterit,
<
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quod ſciam; </
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<
s
xml:id
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xml:space
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">hinc eſt, quod regulæ à variis exhibitæ valeant tantum pro
<
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aquis ſtagnantibus, tametſi verbis utantur, quæ perinde eas pertinere ad
<
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aquas fluentes perſuadere poſſint. </
s
>
<
s
xml:id
="
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xml:space
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">Ut vero diſcrimerr utriusque Theoriæ ap-
<
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pareat in ipſo limine, exemplum quoddam afferam, cujus demonſtratio ex
<
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/>
inferioribus patebit. </
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>
<
s
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xml:space
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">Sit loco caſtelli vas ampliſſimum A B C D (Fig. </
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<
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">9.) </
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<
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">aqua
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<
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xlink:label
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">Fig. 9.</
note
>
repletum usque in EF, & </
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>
<
s
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xml:space
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">in parte inferiori tubulo cylindrico horizontali
<
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M O m o inſtructum, per quem aquæ ſine impedimento transfluere poſſe intel-
<
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/>
ligantur; </
s
>
<
s
xml:id
="
echoid-s702
"
xml:space
="
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">ducatur verticalis N G terminata ab horizontali E H. </
s
>
<
s
xml:id
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"
xml:space
="
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">His ita præ-
<
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/>
paratis, dico ſi orificium O o totum digito obſtruatur, punctum N premi
<
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extrorſum ſecundum totam altitudinem N G; </
s
>
<
s
xml:id
="
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xml:space
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">ſi dimidium orificium obtu-
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retur, hanc preſſionem quarta ſui parte diminui, & </
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>
<
s
xml:id
="
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xml:space
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">ſi denique remoto
<
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/>
digito aquæ liberrime effluant, omnem preſſionem evaneſcere, ſic ut to-
<
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/>
tum cum parte aut etiam cum nihilo confundi ab Authoribus ſoleat. </
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>
<
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xml:space
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">Sed
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demonſtrabo poſſe preſſionem vel negativam fieri, atque ita in ſuctionem
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mutari. </
s
>
<
s
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xml:space
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">Quoniam vero id agere non poſſum priusquam integram theoriam
<
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de aquis fluentibus præmiſerim, nunc aquas conſiderabo ſaltem ſtagnantes,
<
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/>
veluti ſi orificium O o totum fuerit obſtructum.</
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<
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">§. </
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">18. </
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<
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xml:space
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">Conſtat autem ex Mechanicis latera tubi M O m o (cujus diame-
<
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trum incomparabiliter cenſebimus minorem altitudine N G) non aliter ten-
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di, quam ſi explicata eſſent in figuram rectangularem M O m o (Fig. </
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</
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xlink:label
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">Fig. 10</
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appenſumque haberent pondus P, quod ſit æquale ponderi prismatis aquei,
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cujus tria latera ſint 1
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. </
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<
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">radius tubuli, 2
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>
. </
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<
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">longitudo ejusdem & </
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">3°. </
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<
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">altitu-
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do aquæ ſupra tubum; </
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>
<
s
xml:id
="
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"
xml:space
="
preserve
">Ex hac propoſitione intelligitur nonſolum ratio
<
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tenſionum, ſi diverſæ fuerint altitudines aquæ aut diametri tuborum, ſed
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/>
& </
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>
<
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xml:space
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">ipſa tenſionum menſura: </
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<
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xml:space
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">Quod ſi proin firmitas tuborum major ſit iſta
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tenſione, nullum erit rupturæ periculum; </
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<
s
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xml:space
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">ſi ſecus certo rumpetur tubus. </
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>
<
s
xml:id
="
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xml:space
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">Cæ-
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terum de firmitate tuborum experimenta inſtituta fuerunt à variis; </
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>
<
s
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xml:space
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">ſunt au-
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tem ejusmodi experimenta difficilia & </
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<
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">ſumtuoſa; </
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<
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">poterit igitur facilius fir-
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mitas tuborum ſive plumbeorum ſive ferreorum cognoſci, ſi experimento
<
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/>
innoteſcat, quantum pondus filum plumbeum aut ferreum datæ craſſitiei
<
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ſuſtinere poſſit ſine rupturæ periculo. </
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>
<
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xml:space
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">Experimentum ſimile à me inſtitu-
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tum apponam in fine ſectionis oſtenſurus quomodo inde firmitas tubi datæ
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craſſitiei & </
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<
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xml:space
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">diametri deduci poſſit.</
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