Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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que LK, fiat vt dupla ipſius AD vna cum BC ad du
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plam ipſius BC vna cum AD, ita LR ad RK. </
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<
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>Dico
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priſmatis AG centrum grauitatis eſse R. </
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<
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per puncta L, K lateribus priſmatis, atque ideo inter ſe
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parallelæ MN, OP, quæ
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ob centra K, L, ſecabunt
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oppoſita parallelogrammo
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rum latera bifariam, eas
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ſectiones connectant MO,
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NP, ipſique MN, vel
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OP, parallela ducatur Q
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RS. </
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<
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>Quoniam igitur eſt
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vt LR ad R
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K
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, hoc eſt vt
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dupla ipſius AD vna cum
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BC ad duplam ipſius BC
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vna cum AD, ita OQ ad
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QM, & recta MO bifa
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riam ſecat AC trapezij latera parallela, punctum Q, AC
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trapezij centrum grauitatis; ſimiliter & punctum S erit EG,
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trapezij centrum grauitatis: priſmatis igitur AG axis erit
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QS, & centrum grauitatis R, quod eſt in medio axis.
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<
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>Omnis igitur priſmatis baſim habentis trapezium, &c.
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<
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>Quod demonſtrandum erat. </
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PROPOSITIO XXI.
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<
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>Si à quolibet prædicto priſmate duo priſmata
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beſes habentia triangulas ſint ita abſciſſa, vt pa
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rallelepipedum relinquant baſim habens minus
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parallelogrammorum inter ſe parallelorum præ
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dicti priſmatis, maioris autem partes æqualia pa
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rallelogramma ipſum parallelepipedum relin</
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