Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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31 - 60
61 - 90
91 - 120
121 - 150
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181 - 210
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391 - 420
421 - 450
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ſus auri in aqua. </
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ſtannũ
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GI, & aqua KM
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ei æqualis conſtituent libram QR radiorum
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æqualiũ
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cuius centrum grauitatis ſit V, vnde SV erit longitu
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do penduli, quod determinat impetum deſcenſus
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ſtanni in aqua; & quia quatuor parallelepipeda AC,
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DF, GI, KM æqualia ſunt inter ſe, ęquè alta, ſuper æ
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qualibus baſibus, ergo duæ libræ NO, & QR æqua
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les ſunt, & radiorum æqualium, atque in eorum ter
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minis N, & Q ſuſpenduntur duo inæqualia pondera
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aurum ſcilicèt AC, & ſtannum GI, atque in terminis
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O, R ſuſpenduntur duo alia pondera ęqualia inter ſe,
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ſed prioribus leuiora, ſcilicèt duæ
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aquæ moles DF, & KM, & cognita
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ſupponuntur quatuor prædicta
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põ-dera
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dera</
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; modò vt ſumma
<
expan
abbr
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põderum
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GI,
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& KM ad eorum differentiam ita fi
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at ſumma ponderum AC, & DF ad
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pondus Z, reperiaturque pondus Y
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medium proportionale inter diffe
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rentiam ponderum AC, DF, & pon
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dus Z; tunc patet, quod impetus
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quo libra NO flecti debet ad impetum quo reuolui
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tur libra QR eamdem proportionem habebit, quam
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differentia ponderum AC, & DF ad
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põdus
">pondus</
expan
>
Y; & quia
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prædicta corpora conſtituunt ſiphones æquè altos, &
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æquè amplos, propterea quod prædicta corpora æ
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qualia, & ſimilia ſunt inter ſe, ergo nulla alia de cau
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ſa velocitas in prædictis ſiphonibus variari poteſt
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præterquam à natura ipſorum
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pendulorũ
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PT, & SV; </
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