Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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runtur, veluti BF, & GDH, quorum axis communis eſt
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D
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K
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, baſes autem circuli, vel ellypſes EF, GH, qua
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rum commune centrum K: ſupremus autem, qui ad A,
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ad nullum refertur. </
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<
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>Quoniam igitur ex conſtructione,
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cylindrus, vel cylindri portio BF, eſt minor magnitudi
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ne propoſita; exceſsus autem omnes, quibus cylindri, ex
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quibus conſtat figura circumſcripta, excedunt eos, ex qui
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bus conſtat figura inſcripta, pro vt bini inter ſe referun
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tur, vna cum ſupremo, qui ad nullum refertur, ſunt æqua
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les cylindro, vel cylindri portioni BF, figura circum
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ſcripta ſolido ABC, excedet inſcriptam minori exceſ
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ſu magnitudine propoſita. </
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>Fieri igitur poteſt quod pro
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ponebamus. </
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PROPOSITIO XII.
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<
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>Dato parallelepipedo erecto circa datam re
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ctam lineam tamquam axim, erectum parallele
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pipedum æquale conſtituere. </
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<
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>Sit datum parallelepipedum AB, erectum, cuius ba
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ſis AC, altitudo autem latus BC: & data recta linea
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finita ED. </
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<
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>Oportet circa rectam ED, tamquam axim
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parallelepipedo AB, æquale parallelepipedum erectum
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conſtituere. </
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<
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>Per punctum igitur E, extendatur pla
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num erectum ad lineam ED, & vt eſt DE, ad BC, ita
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fiat baſis AC, ad quadratum F: & ad punctum E, in
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plano erecto ad lineam ED, quartæ parti quadrati F,
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æquale GE, quadratum deſcribatur, & compleatur
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quadratum GH, quadruplum quadrati EG, ſeu qua
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drato F, æquale: & ex puncto K, erecta KL, ipſi EF,
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æquali, & ad ſubiectum planum perpendiculari ſuper ba
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ſim GH, conſtituatur parallelepipedum GK. </
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<
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