Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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& tantæ vaſtitatis, vt ad eum moles ABC minorem
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proportionem habeat, quam S ad R, ſcilicèt ſit vt S
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ad V, quæ maior erit quam R, & quia eiuſdem ſub
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ſtantiæ nempè ligni factæ ſunt duæ moles ABC, &
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HIK; igitur (ex præcedenti) vt cylindrus ABC ad
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HIK, ita ſe habet abſoluta leuitas illius S ad huius le
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uitatem, quæ erit V, & habet S ad R
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maiorẽ
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propor
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tionem, quàm moles ABC ad HIK, igitur leuitas V,
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ſeù vis, qua ſolidum HIK aſcendit in fluido M maior
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eſt quacumque data vi finita R. </
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Cap. 4. poſi
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tiuam
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leui-tatẽ
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tatem</
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dari.</
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PROP. XCVI.
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Idipſum problema effici poſſe methodo Archimedæa ſic
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ostendemus.
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<
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">SVmatur lignum L, vel aliud
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corpus ſibi homogeneum,
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quod innatare poſſit intra flui
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dum M, ponaturque quælibet
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vis finita ponderis P, atque vt
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pondus abſolutum molis fluidi
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M, quæ æqualis ſit ipſi L, ad
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pondus abſolutum ligni L, ſci
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licèt vt grauitas ſpecifica flui
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di M ad L, it a ſe habeat R ad S,
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poſtea fiat cylindrus ACB
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eiuſdẽ
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materiei L, ad cuius
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grauitatem abſolutam
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põdus
">pondus</
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P minorem proportio
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nem habeat, quàm differentia ipſarum R, & S ad S.
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<
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