Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Prop. 221.</
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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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">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. </
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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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">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,
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aſcẽ-dendo
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dendo</
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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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tẽ-pus
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pus</
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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-</
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