Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Page concordance

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              <s id="s.002479">
                <pb pagenum="470" xlink:href="010/01/478.jpg"/>
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              quibus cylindri inæquales in aqua aſcendunt. </s>
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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.</s>
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              <s id="s.002481">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
                <expan abbr="aſcendentiũ">aſcendentium</expan>
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              eamdem proportionem haberent, quam eorum alti­
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              tudines. </s>
              <s id="s.002482">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. </s>
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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
                <expan abbr="aſcẽdendo">aſcendendo</expan>
              , 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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              <s id="s.002485">SInt ergo duo cylindri homogenei primò aquą
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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</expan>
              cylindri infra aquam demerſi retineant eorum̨
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              latera perpendicularitèr ad horizontem erecta, (& </s>
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