Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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trum grauitatis duarum magnitudinum A, C, ſimul.
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>Rurſus quoniam recta BD, coniungit duo centra gra
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uitatis duarum magnitu
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dinum B ſcilicet, & AC,
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erit compoſitæ ACB, in
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recta BD, centrum graui
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tatis: eſt autem illud E.
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<
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>Quoniam igitur in quo
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plano eſt recta BD, in
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eodem ſunt duo puncta
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B, E, in quo autem pla
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no eſt recta BD, in eo
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dem eſt recta AC, &
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puncta A, C; in quo igi
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tur plano ſunt puncta A,
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C, in eodem erunt pun
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cta B, E; quatuor igitur puncta A, B, C, E, erunt in eodem
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plano; Quod demonſtr andum erat. </
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PROPOSITIO XXIX.
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<
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>Si à cuiuslibet trianguli centro, & tribus an
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gulis quatuor rectæ inter ſe parallelæ plano trian
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guli inſiſtant: tres autem magnitudines æquales
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habeant centra grauitatis in ijs tribus, quæ ad
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angulos; trium magnitudinum ſimul centrum
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grauitatis erit in ea, quæ ad trianguli centrum
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terminatur. </
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<
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>Sit triangulum ABC, cuius centrum N, à tribus au
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tem angulis A, B, C, & centro N, inſiſtant plano trian-</
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