Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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<
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xml:space
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">Unde in eodem tormento adhibitaque eadem pulveris quantitate & </
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manente globi pondere, erunt decrementa jactuum proportronalia ampli-
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tudinibus aperturarum.</
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<
s
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xml:space
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">Decrementa eadem fere ſequuntur rationem ſubduplicatam quantita-
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tum pulveris adhibitarum cæteris paribus; </
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<
s
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xml:space
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">quia enim logarithmi magno-
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rum numerorum in multo minori creſcunt ratione ac numeri ipſi & </
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<
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xml:space
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">quo-
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niam inſuper eſt α = b P log. </
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<
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xml:space
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">{a/b}, poterit cæteris paribus ſtatui α propor-
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tionale ipſi b, quia P non afficitur à b. </
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<
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">Sed decrementum, de quo ſermo eſt,
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ceteris paribus rationem ſequitur quantitatis (α{3/2}): </
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<
s
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xml:space
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">(√ bp) ſeu rationem
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quantitatis {b/√p}; </
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<
s
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xml:space
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">ipſum vero p, quod pondus denotat pulveris adhibiti eſt ut b;
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</
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<
s
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xml:space
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">igitur decrementum prædictum ſequitur proxime rationem √ b, quæ ſub-
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duplicata eſt quantitatis pulveris adhibiti. </
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<
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">Igitur ratione habita jactuum, de-
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crementa multo majora ſunt in jactibus debilibus, quam vehementioribus,
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idque etiam experimenta art. </
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<
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">(III) recenſita confirmare videntur: </
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<
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">non video
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enim aliam rationem, cur in prima tabula experimentorum globi jactus in
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vacuo, ſumtis duabus pulveris unciis, plus quam vigeſies ſexies altior eſſe
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debuerit, quam cum uncia dimidia ſumeretur, & </
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<
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veris quantitate ad 4. </
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<
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">uncias jactus tantum quadruplo altior poſt calculum pro-
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deat, quam quantitate duarum unciarum.</
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<
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">(XI) Quæ reliquæ in utraque tabula comparent experime
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ntorum in-
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æqualitates, eas ut ſupra dixi, maximam partem derivo ab eo, quod pulvis
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non omnis inflammatur, nec is qui inflammetur omnis ſtatim ab initio ex-
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ploſionis flammam concipiat. </
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<
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">Neque certe id mirabimur, cum perpendimus
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totum exploſionis tempus in exper. </
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ſecundi partem efficere. </
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<
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xml:space
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">Igitur cum certum ſit maximam pulveris partem non
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inflammatam ejici, nec exiguam partem reliqui tardius inflammari, quam in
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calculo poſitum fuit; </
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<
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">cumque præterea notabilis pulveris pars fucata ſit vapo-
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ribus materiaque terreſtri, quæ non accenditur, ſequitur longe majorem in-
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efſe elaſticitatem partibus accenſis, quam quæ experimenti calculo art. </
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<
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">determinata fuit, fortaſſe decies aut centies major eſt.</
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<
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