Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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diametri AG. </
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<
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>Quod eſt propoſitum. </
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COROLLARIVM.
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<
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>Hinc manifeſtum eſt, omnis parallelogrammi
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centrum grauitatis eſſe in medio rectæ, quæ op
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poſitorum bipartitorum laterum ſectiones iungit. </
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PROPOSITIO XV.
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>Si quodlibet parallelogrammum in duo paral
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lelogramma diuidatur, & eorum
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cẽtra
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grauitatis
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iungantur recta linea; totius diuiſi parallelogram
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mi centrum grauitatis prædictam lineam ita di
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uidit, vt eius ſegmenta è contrario reſpondeant
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prædictis partibus parallelogrammis. </
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<
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>Sit parallelogrammum ABCD, ſectum in duo paral
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lelogramma AE, ED, &
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parallelogrammi AE, ſit
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centrum grauitatis H, pa
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rallelogrammi autem ED,
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centrum grauitatis K: &
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parallelogrammi ABCD,
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ſit centrum grauitatis G:
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& iungatur KH. </
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<
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>Dico re
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ctam KH, diuidi à puncto
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G, ita vt ſit KG, ad G
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H, vt eſt parallelogrammum
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AE, ad parallelogrammum
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ED, Iungantur enim diametri AC, AE, ED. </
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<
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