Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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gnei FE in aqua demerſi ſemper eadem eſt, nec po
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teſt vnquam diminui, cùm ſit æqualis vi illius ponde
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ris, quod ſufficit ad prohibendum
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aſcẽſum
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prædicto
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ligno FE (vt conſtat ex Archimede) & è contrà pon
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dus incumbentis cylindri aquei IKGF poteſt ſucceſ
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ſiuè diminui in infinitum prout eius altitudo IF dimi
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nuta fuerit, ſublata nimirum aqna è vaſe ABD. fiat
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igitur vis ponderis aquæ IG minor energia leuitatis
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ligni FE, ſcilicèt minor ſit pondere P, quia verò mi
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nor vis ſuperari à maiori debet, igitur neceſſariò
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pondus P deprimet radium libræ NO, ſuperabitque
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reſiſtentiam diminutæ aquæ IG ſuſpenſæ in altera li
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bræ extremitate M, ſcilicèt lignum FE (quod tange
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re orificium vaſis HE ſupponebatur) ſursùm aſcen
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det in ipſa aqua vi maioris ſuæ leuitatis, ſed hoc eſt
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falſum, & contra ſenſus euidentiam, numquam enim
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prædictus cylindius ligneus fundum deſerit, nec ſur
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sùm aſcendit; ſi tamen ſemper orificio BC inſiſtat,
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nec incutiatur vt ad latus fundi baſis transferatur, vbi
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maior eius baſis pars inſiſtit fundo ſtabili putei, vel
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cylindrus ipſe tranſuersè flectatur. </
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<
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">Igitur verum
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nõ
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eſt lignum FE exercere nè minimum gradum impe
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tus leuitatis. </
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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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De inſidét.
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<
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prop. 6.</
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PROP. LXXXV.
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Aliter idipſum demonstrare.
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<
s
id
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">IIſdem poſitis intelligatur præterea quòd vis leui
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tatis prædicti ligni, ſcilicèt pondus P æqualis ſit </
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