Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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v. g. & altitudo columnæ CB decies maior radio ba
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ſis, tunc totalis reſiſtentia prædictæ contiguitatis, ſeù
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repugnantia ad vacuuum admittendum, æqualis erit
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potentiæ ponderis triginta librarum. </
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<
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conſtat, quòd vis, quæ requiritur ad reſiſtentiam
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tactus</
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directè ſuperandam, licèt maior vt plurimùm
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ſit, quàm ea quæ actu exercetur, nihilominùs finita,
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& determinata eſt, & facili negotio indagari, men
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ſurarique poteſt. </
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<
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dum</
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, quòd. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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PROP. XCI.
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Dato quolibet corpore duro homogeneo, aliudilli æquale repe
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riri poteſt, cuius raritas abſoluta ad illius raritatem
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maiorem proportionem qualibet dataratione
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maioris inæqualitatis habeat.
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<
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">SIt cylindrus ſolidus ABC, &
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quælibet data ratio maioris
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inæqualitatis T ad V, & fiat RS
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maior quàm T. reperiri debetcy
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linder æqualis ABC cuius rari
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tas abſoluta ad raritatem ABC
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ſit vt RS ad V. </
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<
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id
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">Secetur portio cy
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lindrica AD, & RX proximè maior quam V, & fiat
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cylindrus ſolidus EF æqualis AD, cuiuſ raritas in
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ſpecie ad raritatem ipſius AC ſit vt RX ad V; poſtea
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fiat alius cylindrus, ſiue fluidus, ſiue ſolidus FG æ
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qualis DB, ita vt illius raritas in ſpecie ad raritatem </
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