Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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mirùm moles fluidi æqualis ſolidi natantis parti de
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merſæ æquè ponderet, ac ſolidum ipſum, vera eſt,
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niſi hypotheſis varietur, oportet enim ex vi hypo
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theſis vt ſolidum innatet ſupra vnum fluidum, nam ſi
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omninò ſit demerſum intra rarius, & innatet ſuprą
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aliud denſiùs fluidum propoſitio alteratur, vt docuit
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præceptor meus Benedictus Caſtellus, qui demon
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ſtrauit, quod ferrum ſupra mercurium natans ſi aqua
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quoque cooperiatur, tunc quidem altiùs eleuabitur,
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quàm priùs; propterea quod pondus aquæ collate
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ralis auget magis hydrargyri compreſſionem, quam
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ferri pondus augeat proindeque ferrum aliquantiſ
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per altiùs eleuat. </
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pr. 5.</
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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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">Sed præterea animaduerti, quod alia de cauſą
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prædictum æquilibrium alterari poteſt, nempè ex eo
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quod aquæ libella circa ſolidum in ea natans, num
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quam præcisè explanatur, vt docuimus cap. 9. prop.
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<
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<
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">Porrò vt aſcenſus, vel deſcenſus cylindrorum in
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æqualium baſium symptomata exponamus aliquæ
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propoſitiones præmitti debent. </
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PROP. CCXXXIII.
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Si duo pondera inæqualia
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ſuſpẽdũtur
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in extremitatibus dua
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rum librarum inæqualium, ſed æqualium radiorum, ve
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locitates reuolutionum earum ſubduplicatam proportio
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nem habebunt radiorum.
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<
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cẽ-tra
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tra</
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bifariam eas ſecantia ſint E, & H, & idem ma
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ius pondus A ſuſpendatur primò in C, ſecundò in F, </
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