Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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quibus cylindri inæquales in aqua aſcendunt. </
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Cap. 11. gra
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uia in fluido
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velocitati
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bus inæqua
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libus ferri
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debere.</
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<
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">Et primo loco philoſophicus candor exigit vt fa
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tear me non primum haſce ſpeculationes animaduer
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tiſſe, ſed monitum, & excitatum fuiſſe ab amico An
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tonio Oliua viro profectò perſpicaciſſimi, & ignei in
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genij, is enim in Academia Experimentali Medicea
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nonnulla experimenta ad hanc rem attinentia protu
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lit, quibus confirmare conabatur, quod velocitates
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corporum in fluido deſcendentium, vel
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aſcendentiũ
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eamdem proportionem haberent, quam eorum alti
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tudines. </
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">verum fundamenta, & ratiocinia quibus eius
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opinio fulciretur hactenùs mihi ignota, & recondita
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ſunt, propterea non verebor nouas has ſpeculatio
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nes, quæ meæ omninò ſunt, edere, & doctiorum iudi
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cio exponere. </
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PROP. CCXXVII.
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Si fuerint duo cylindri homogenei in aqua demerſi æqualium
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baſium, & in æqualium altitudinum ſemperque eorum
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latera perpendicularia ſint ad horizontem, tempora qui
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bus æqualia ſpatia
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, vel
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percurrunt
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eam dem proportionem reciprocam habebunt, quàm ſub
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duplic at a ratio altitudinum fuerit.
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<
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leuiores ABC, & DEF, ſcilicèt ex eodem ligno
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facti, quorum baſes BC, & EF æquales ſint, altitudo
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verò AB maior ſit, quàm DE, & inter AB, & DE fiat
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media proportionalis GB, ſintque vaſa ampla, &
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per</
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cylindri infra aquam demerſi retineant eorum̨
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latera perpendicularitèr ad horizontem erecta, (& </
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