Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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liqui ſolidi AEBFC centrum grauitatis eſse G. </
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<
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>Secta
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enim BD bifariam in puncto H, & poſita GK ipſius GH
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minori quantacumque longitudine propoſita, ſumptoque
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in GK quolibet puncto L, intelligantur id enim (fieri poſ
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ſe manifeſtum eſt ex ſupra demonſtratis) tres figuræ vna in
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ſcripta conoidi EBF, & duæ circumſcriptæ altera alteri
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conoidum, vt ſupra factum eſt, compoſitæ ex cylindris
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æqualium altitudinum ita multiplicatis, vt vtrumque illud
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accidat; & vt ſecundi exceſſus centrum grauitatis quod ſit
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M (omnium autem trium dictorum exceſſuum in axe
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BD erunt centra grauitatis) ſit puncto G propinquius
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quàm punctum L: & vt primus exceſſus ad ſecundum mi
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norem habeat proportionem ea, quæ eſt LK, ad KH. </
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<
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de vt HK ad KL, ita ſit HN ad NM, & vt primus
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exceſſus ad ſecundum, ita MO ad OH. </
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<
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>Quoniam igitur
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cylindri omnes deficientes, & ſummus integer, ex quibus
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primus exceſſus conſtat, inter ſe ſunt æquales, habentque
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in axe BD centra grauitatis æqualibus interuallis à bipar
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titi axis BD ſectione H & inter ſe diſtantia; totius pri
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mi exceſſus centrum grauitatis erit H: ſecundi autem ex
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ceſſus centrum grauitatis ponitur M; cum igitur ſit vt pri
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mus exceſſus ad ſecundum, ita ex contraria parte MO </
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