Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO QUINTA.
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rent elevabatur ſuperficies A B, nunquam autem certum terminum tranſgredie-
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batur; </
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<
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xml:space
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">fuit nempe quantum videre potui, maxima altitudo P B ſeu F A =
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{nn/mm - nn}a, denotante {n/m} rationem inter orificium inferius L M & </
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<
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R S, & </
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<
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">a altitudinem verticalem orificii poſterioris ſupra alterum.</
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<
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xml:space
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">Id vero ſolum eſt, quod ipſemet inſtitui experimentum, quamvis mul-
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tæ ſint propoſitiones in hâc ſectione contentæ, quæ mereantur attentionem
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eæque ſatis inexpectatæ, non potui tamen de illis experimenta ſumere; </
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<
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xml:space
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enim ita comparatæ in vaſis brevioribus, ut quod ſingulare habent, id ſenſus
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effugiat, rem autem experiri in longis aquæductibus commode non potui:
<
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</
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<
s
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xml:space
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">cum aliis hæc dabitur occaſio, theoriam hanc examinaturis, animum adver-
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tent ad ſequentia:</
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<
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. </
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<
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">In fontibus ſalientibus obſervetur altitudo jactus integra; </
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<
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dum obturato prius orificio eodemque mox reſerato videatur aquæ quanti-
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tas, quæ effluat, dum aqua ad dimidiam altitudinem jactus integri, aut
<
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aliam partem quamcunque perveniat, quod quidem breviſſimo eveniet tem-
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pore, illius quantitatis menſura ſit longitudo cylindri ſuper foramine, per
<
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/>
quod aquæ exiliunt, exſtructi, quam longitudinem vocavimus x, alti-
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tudinem vero jactus integram nominavimus a, altitudinemque jactus qui
<
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nondum totam attigerit altitudinem, obſervatam deſignavimus per v. </
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<
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denique inſtituto calculo exploreter, num hæ quantitates recte reſpondeant
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æquationibus pro utroque affundendi modo exhibitis in paragrapho tertio.</
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<
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. </
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<
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">Fiant omnia, ut ante, hoc ſaltem diſcrimine, quod loco quanti-
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tatis effluentis tempus effluxus notetur, ut ſic examinari poſſint formulæ
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paragraphi decimi tertii, & </
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<
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fluxus, ut appareat num recte reſpondeat formulæ §. </
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<
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<
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. </
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<
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">Tum præcipue fiat id experimenti genus, quod indicavi para-
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grapho decimo ſexto, obſervando ſcilicet, quantitates aquarum dimidiis
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temporibus reſpondentes; </
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pus, differentiam harum quantitatum nunquam exæquare {2mmN/mmn - n
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} log. </
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