Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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PROPOSITIO XXXII.
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>Si duarum prædictarum figurarum circa com
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munem axim, vel diametrum, vel alterius diame
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trum alterius axim, baſes, & quotcumque ſectio
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nes quales diximus, binæ in eodem plano fue
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rint proportionales; idem punctum in diametro,
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vel axe erit vtriuſque centrum grauitatis. </
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>Sint duæ prædictæ figuræ ABC, DBE, circa eandem
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diametrum, vel axim BF. figuræ autem ABC ſit cen
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trum grauitatis G, nempe in linea BF. </
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>Dico G eſſe
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centrum grauitatis
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figuræ DBE. ſi
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enim non eſt, ſit a
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liud punctum H,
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quod cadat primo
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ſupra punctum G.
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>Figuræ igitur AB
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C, figura circum
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ſcribatur qualem
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diximus ex cylin
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dris, vel cylindri
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portionibus, vel pa
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rallelogrammis æ
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qualium
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cuius centri graui
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tatis
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K
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diſtantia à
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centro G, figuræ ABC ſit minor quàm recta GH: & figu
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ræ DBE, figura circumſcribatur ex cylindris, vel cylindri
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portionibus vel parallelogrammis æqualium altitudinum,
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multitudine æqualium ijs, ex quibus conſtat ipſi ABC, </
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