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

Table of figures

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              Prop. 221.</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.002495">Secundò ſint cylindri AC, DF aqua grauiores; o­
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              ſtendetur (ex prop. 221.) quod deſcenſus X ad de­
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              ſcenſum Z, eodem tempore T factum, eſt ſicuti altitu­
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              do GB ad DE, & hoc erat, &c. </s>
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              PROP. CCXXIX.
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              Poſtea ſi duo coni homogenei baſes æquales, & inæquales al­
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              titudines habuerint, & verticibus ſursùm vergentibus,
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              itaut axes eorum ſemper inter ſe æquidistantes ſint, &
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              infra aquam exiſtentibus percurrant aſcendendo, vel
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              deſcendendo ſpatia æqualia; tempora contrario ordine re­
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              ſpondebunt ſubduplicatæ proportioni altitudinum.
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              <s id="s.002498">SInt duo coni eiuſdem materiei ABC, DEF, ſed
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              primò aqua leuiores, eorum baſes BC, & EF æ­
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              quales ſint, altitudo verò illius maior ſit huius altitu­
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              dine, inter quas ponatur GB media proportionalis;
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              tendant verò ambo ſursùm præcedendo vertices A,
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              & D, vt eorum axes paralleli ſint,
                <expan abbr="percurrãtque">percurrantque</expan>
                <expan abbr="aſcẽ-dendo">aſcen­
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                dendo</expan>
              ſpatia æqualia AH, & DN
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              nempe ABC tempore T, at DEF
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              tempore V; dico tempus V ad
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                pus</expan>
              T eſſe vt GB ad DE; quia æ­
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              qualia ſpatia percurrunt ſursùm̨
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              aſcendendo ſolida ABC, DEF,
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              ergo ſuis baſibus æqualibus dere­
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              linquunt ſpatia æqualia, & æquè
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              alta IBCK, & OEFP, & ibidem̨
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              fluere debent æquales aquæ moles
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              conos ambientes, quæ è ſupremis locis expelli de­
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              bent, excurrunt verò prædictæ aquæ moles per ſi-</s>
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