Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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<
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<
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<
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xml:space
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">Sequitur porro ex præfata affectione probe intellecta, eundem
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oriri à preſſionibus effectum ſive lamina aquas ad latera deflectat, ſive cauſa
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fingatur motum omnem, quem particulæ aqueæ cylindrum egreſſæ acquiſive-
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runt, abſorbens: </
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<
s
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xml:space
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">Inde intelligitur quid futurum ſit, ſi orificium C M (Fig. </
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<
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per quod aquæ ex cylindro A B M effluunt, aliis aquis in vaſe P Q F E ſtagnan-
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tibus ſubmerſum fuerit: </
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<
s
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xml:space
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">repelletur nempe cylindrus A B M verſus P Q intra vas
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P Q F E, ſi hoc cum cylindro non cohæreat; </
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<
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">At ſi vaſa inter ſe fuerint firmata,
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nullam patietur ſyſtema preſſionem prævalentem; </
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<
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">quanta enim eſt preſſio ver-
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ſus P Q ab effluentibus aquis, tanta quoque oritur preſſio contraria verſus E F
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à continua deſtructione motus, quem particulæ cylindrum egreſſæ acquiſivere.</
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<
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">Dixi de preſſione venæ, quam lamina totam etiamſi expanſam
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excipit: </
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<
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">Venio ad alteram ſpeciem impetus aquarum, quem ſcilicet ſuſtinent
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laminæ fluido undique ſubmerſæ: </
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<
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">puto autem hanc non poſſe abſolute defini-
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ri, quia ſingulæ particulæ in laminam impingentes aliter deflectuntur. </
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<
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">Si vero
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cujuslibet particulæ deviatio cognita ponatur, non difficilis erit amplius quæ-
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ſtionis ſolutio, mutato paullum theoremate, quo §. </
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<
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">uſi ſumus eoque ge-
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neraliori reddito, nempe tali: </
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<
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">ſi angulus mutatæ in corpore moto directionis non
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fuerit rectus, ſed recto minor, tunc quoque minor erit ſumma productorum (de
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quâ antea ſermo fuit) in ratione ut ſinus verſus mutatæ directionis ad ſinum
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totum.</
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<
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">Igitur pro quâvis guttula indagandum eſſet, quantum directionem mo-
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tus ab obice, ſeu lamina curſui oppoſita mutare cogatur. </
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<
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xml:space
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">At in theoria hu-
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juſmodi definitiones exhiberi accurate vix poſſunt; </
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<
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remata hanc in rem exhiberi ſolita; </
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<
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">veluti quod conatus fluminis directe con-
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tra circulum impingentis duplo ſit major conatu ejuſdem fluminis contra ſphæ-
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ram ejuſdem diametri, & </
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<
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<
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">quod autem quantitas preſſionis
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pro ſphæra, qualis dari ſolet ab auctoribus, cum experimentis à Newtono
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aliiſque inſtitutis & </
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<
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">recenſitis, ſatis accurate conveniat,
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id omnibus bene perpenſis caſui fortuito tribuendum eſſe cenſeo.</
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<
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">Theoremata quæ ad motum in mediis reſiſtentibus theoretice conſideratum
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faciunt, tum etiam varias obſervationes phyſicas dedi in tom. </
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<
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<
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ſtrum pertineant; </
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<
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