Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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grauitatis, nempe in linea BD, ſit propinquius baſi AC,
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ſiue termino D, quàm prædictæ datæ figuræ circumſcriptæ
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centrum grauitatis, Omnium enim cylindrorum, vel cy
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lindri portionum, vel parallelogrammorum, ex quibus con
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ſtat prædicta data figura circumſcripta ſint axes, vel quæ
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oppoſita latera coniungunt rectæ BL, LM, MD, qui
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bus ſectis bifariam in punctis N, O, P, ac planis per ea
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ſiue rectis tranſeuntibus baſi AC parallelis, ſecantibus
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que dictos cylindros, vel cylindri portiones, vel pa
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rallelogramma, compleatur & figuræ ABC circumſcri
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batur altera figura
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vt prior, quæ ob ſe
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ctiones factas com
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ponetur ex duplis
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multitudine cylin
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dris, vel cylindri por
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tionibus, vel paralle
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logrammis ęqualium
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altitudinum, eorum
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ex quibus conſtat da
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ta figura circumſcri
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pta ſin
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autem hi cy
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lindri, aut reliqua,
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quæ diximus QR,
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ES, TV, GX, ZI, AY. </
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>Quoniam igitur cylindro
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rum, vel cylindri portionum, vel parallelogrammorum quæ
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ſunt circa figuram ABC, minor eſt proportio QR ad ES,
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quàm ES, ad TV, propter ſectiones circulos, vel ſimiles
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ellipſes, vel rectas lineas, &
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, & figuræ
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propoſitæ
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<
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eadẽ
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ratione minor eſt proportio ES
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ad TV, quàm TV, ad GX; multo ergo minor proportio erit
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QR ad ES, quam TV ad GX: & componendo, minor
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proportio QR, ES, ſimul ad ES, quàm TV, GX, ſimul
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ad GX. ſed vt GX ad GH, ita eſt ES ad EF; ex æqua-</
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