Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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E, in recta linea, quæ iungit centra D, G; tria igitur pun
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cta D, E, G, ſunt in eadem recta linea. </
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<
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puncta D, E, in eadem eſt punctum G; ſed puncta D, E, ſunt
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in recta DH; igitur & punctum G, erit in recta DH: ſed
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extra ipſam DE, vt modo oſtendimus, in reliqua igitur
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EH. </
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PROPOSITIO XVIII.
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<
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>Sit totum quoduis planum ſit vni parti concen
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tricum ſecundum centrum grauitatis, & reliquæ
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erit concentricum. </
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>Et ſi partes inter ſe ſint con
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centricæ, & toti erunt concentricæ. </
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<
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>Sit totum quoduis planum AB, quod cum vna parte
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AC habeat commune centrum grauitatis E. </
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>Dico & re
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liquæ partis CD, eſse
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idem centrum grauitatis
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E. </
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>Si enim illud non
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eſt, erit aliud; eſto F, &
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EF iungatur. </
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>Quoniam
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igitur partium AC, CD,
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centra grauitatis ſunt E,
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F; erit totius AB, in re
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cta EF, centrum graui
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tatis: ſed & in puncto E,
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vnius ergo magnitudinis
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duo centra grauitatis e
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runt. </
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<
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idem igitur E erit centrum grauitatis vtriuslibet partium
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AC, CD. </
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<
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>Sed vtriuslibet partium AC, CD, ſit cen
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trum grauitatis E. </
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<
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>Dico idem E totius AB, eſse cen-</
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