Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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4 L*IBER* S*TATICÆ*
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">Corpus ſolidum materiæ levioris quamaqua cuiinnatat,
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ponderitate æquale eſt tantæ aqueæ moli, quantâ ſui
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parte demergitur.</
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<
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">* AB corpus ſolidum materiam habeat leviorem aqua BC in
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quam immittiur, ſolidi autem ſuperficies AB, pars in aquam immerſa EB.</
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<
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">Q*VAESITVM*. </
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">Demonſtrato ſolidum AB pondere æquari aquæ EB
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quæ æqualis eſt parti in aquam CD immerſæ.</
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">DEMONSTRATIO.</
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s
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">In vaſe ſuperficiario AB loco ſolidi corporis AB ſubſtituitor aquæ copia
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tanta, quę ipſum eadem altitudine qua priùs in aquam immer-
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gat. </
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<
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">quibus poſitis, aqua EB (cujus ſuperſicies eſt in ſuperfi-
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cie reliquæ aquæ cum vas ſuperficiarium nullius ſit ponderita-
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tis) contenta vaſe ſuperficiario EB per 3 poſtul. </
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rabit ſolido corpori AB quia vas idem eadem altitudine im-
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mergunt. </
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<
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leviore quam aqua in quam immittitur æquiponderat tantæ
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aqueæ moli, quantâ ſui parteaquæ immergitur.</
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">*Corpore ſolido ſui partenotæ magnitudinis in aquam*
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*cognitæ ponderitatis immerſo, totius ſolidi pondus in-*
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*venire.</
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">* ABCD ſolidum corpus formæ contingentis, EF aqua cujus
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pes cubicus ponderet 65 ℔, nam experientia edoctus Delfenſem pedem Del-
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fenſis aquæ tanti ponderis eſſe cognovi, ſicq́ue deinceps in ſequentibus exem-
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plis uſurpabimus; </
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tudo ſit 10000 pedum cubicorum. </
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univerſi corporis ABCD quæq́; </
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dum eſto.</
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5 propoſ. </
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aquæ moles pendet 650000 ℔, itaque etiam corpus
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ABCD erit librarum totidem.</
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ſui parte notæ magnitudinis in aquam cognitæ pon-
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deritatis immerſo, etiam totius ponderitatem inveni-
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mus. </
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