Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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metrum habens ed. </
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">Quoniam igitur circuli uel ellipſis
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aecb grauitatis centrum eſt in diametro be, & portio
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nis aec centrum in linea ed: reliquæ portionis, uidelicet
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abc centrum grauitatis in ipſa bd conſiſtat neceſſe eſt, ex
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octaua propoſitione eiuſdem.</
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">THEOREMA V. PROPOSITIO V.</
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">SI priſma ſecetur plano oppoſitis planis æqui
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diſtante, ſectio erit figura æqualis & ſimilis ei,
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quæ eſt oppoſitorum planorum, centrum graui
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tatis in axe habens.</
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<
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">Sit priſma, in quo plana oppoſita ſint triangula abc,
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def; axis gh: & ſecetur plano iam dictis planis
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te; quod faciat ſectionem klm; & axi in
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pũcto
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n occurrat. </
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">Dico klm triangulum æquale eſſe, & ſimile triangulis abc
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def; atque eius grauitatis centrum eſſe punctum n. </
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niam enim plana abc
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Klm æquidiſtantia
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tur a plano ae; rectæ li
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neæ ab, Kl, quæ ſunt ip
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ſorum
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cõmunes
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ſectio
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nes inter ſe ſe æquidi
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ſtant. </
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ad, be; cum ae ſit para
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lelogrammum, ex priſ
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matis diffinitione. </
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<
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& al
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parallelogrammũ
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erit; & propterea linea
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kl, ipſi ab æqualis. </
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militer demonſtrabitur
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lm æquidiſtans, & æqua
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lis bc; & mk ipſi ca.</
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