Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ipſius MF dimidia: ſed & rectæ BN, FO, triangulorum
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baſes AC, ED, bifariam ſe
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cant; erunt igitur puncta L, M,
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centra grauitatis triangulorum
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ABC, DEF, oppoſitorum.
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<
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>Priſmatis igitur ABCDEF
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axis erit LM: quare in eius bi
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partiti ſectione priſmatis ABC
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DEF centrum grauitatis: ſectus
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autem eſt axis LM bifariam in
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puncto K; nam ob parallelogram
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ma eſt vt NH ad HO, ita LK
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ad KM; priſmatis igitur ABC
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DEF, centrum grauitatis erit
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K.
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Quod demonſtrandum erat. </
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PROPOSITIO XX.
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>Omnis priſmatis baſim habentis trapezium, cu
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ius duo latera inter ſe ſint parallela centrum gra
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uitatis rectam lineam, quæ æque inter ſe diſtan
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tium parallelogrammorum centra iungit, ita di
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uidit, vt pars, quæ dictorum parallelogrammorum
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minus attingit ſit ad reliquam, vt duorum baſis la
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terum parallelorum dupla maioris vna cum mino
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ri ad duplam minoris vna cum maiori. </
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<
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>Sit priſma ABCDEFGH, cuius baſis trapezium
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ABCD, habens duo latera AD, BC, inter ſe paralle
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la, ſitque eorum AD maius: parallela igitur erunt inter ſe
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duo parallelogramma BG, AH. </
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<
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>Sit parallelogrammi AH
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centrum K, & BG parallelogrammi centrum L, iuncta-</
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