Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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duæ magnitudines commune habebunt centrum
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grauitatis. </
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>Sit recta linea AB, & quotcumque magnitudines
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FGH, & totidem KLM, binæ in eadem proportione:
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nimirum vt F ad G ita K ad L: & vt G ad H ita L ad
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M. in recta autem AB, ſint communia centra grauitatis,
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C duarum FK, & D duarum GL: & E duarum HM. </
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nium autem primarum tamquam vnius magnitudinis ſit
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centrum grauitatis O. </
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<
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>Dico & omnium ſecundarum ſi
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mul centrum grauitatis eſse O. </
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<
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>Duarum enim FG ſi
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mul ſit centrum grauitatis N. </
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<
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>Vtigitur eſt F ad G, hoc
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eſt, vt K ad L, ita erit DN, ad NC. punctum igitur N
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eſt centrum grauitatis duarum magnitudinum KL ſimul.
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</
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>Rurſus, quia componendo, & ex æquali, eſt vt FG ſimul
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ad H, ita KL ſimul ad M: eſt autem tam duarum FG,
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quam duarum KL ſimul centrum grauitatis N, ſimiliter
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vt ante oſtenderemus duarum magnitudinum FGH,
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KLM centrum grauitatis eſse O. </
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<
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>Quod eſt propoſitum. </
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PROPOSITIO XXVI.
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<
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>Si ſint quotcumque magnitudines, & aliæ ip
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ſis multitudine æquales primarum, ex quibus cen
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tra grauitatis in eadem recta linea diſpoſita ſint
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alternatim ad centra grauitatis ſecundarum, qua-</
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