DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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52
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erit AC ipſi CE ęqualis. </
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<
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">cùm què ſit grauitas magnitudinis
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A ęqualis grauitati ipſius E, erit itidem punctum C magni
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tudinum AE centrum grauitatis. </
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<
s
id
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">ergo punctum C magni
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tudinis ex omnibus magnitudinibus ABCDE compoſitæ
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centrum grauitatis exiſtit. </
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4
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huius.
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</
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p
id
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type
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<
s
id
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">Quòd ſi fuerint ad huc plures magnitudines, impares verò
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extiterint; quæ ita ſe habeant, vt expoſitum eſt; ſimiliter
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oſtẽ
">oſtem</
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detur, centrum grauitatis mediæ magnitudinis centrum eſſe
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grauitatis magnitudinis ex omnibus magnitudinibus com
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poſitæ. </
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</
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In hoc corollario, verba illa,
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& magnitudines æqualem habue
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rint grauitatem
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in greco codice ita habentur.
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lang
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grc
">εἵκα τατε ἴσον ἀπέχον
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τα ἀπὸ τοῦ μέσου μεγέθεος ἴσον βάρος ἔχωντι</
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quorum multa ſuperuaca
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nea nobis viſa ſunt; loco quorum (vt arbitror) rectè
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">congruent</
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<
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lang
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grc
">καὶ τὰ μεγέθεα ἴσον βάρος ἔχωντι</
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, vt vertimus. </
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>
<
s
id
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">Nam ſi ordinis at〈que〉
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abbr
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cõditionum
">conditionum</
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propoſitę propoſitionis ratio habenda eſt, opor
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tet vt magnitudines ęqualem habeant grauitatem; Nam &
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Archimedes in ſe〈que〉ntibus demonſtrationibus ijs vtitur, ut
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ſunt æ〈que〉graues. </
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<
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">Adhuc tamen veritatem habebit ſi cæteris
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conditionibus illud quo〈que〉 addere voluerimus, nempe ſi
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type
="
italics
"/>
ma
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gnitudines à media magnitudine æqualiter diſtantes æqualem habuerint
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grauitatem
<
emph.end
type
="
italics
"/>
eodem modo punctum C centrum erit grauitatis
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n
="
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magnitudinis ex omnibus ABCDE compoſitę, Nam ſi ma
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gnitudines à media magnitudine ſunt ę〈que〉graues; ęqualem
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quo〈que〉 habebunt grauitatem magnitudines AE; veluti ma
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gnitudines BD, quæ æqualiter à media magnitudine C di
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ſtant. </
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<
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id
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">& quam uis non ſint omnes æ〈que〉graues, ſufficit, vt AE
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quæ ęqualiter à media magnitudine diſtant, ſint ę〈que〉graues.
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ſimiliter BD ę〈que〉graues. </
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<
s
id
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">Eadem enim ratione, quoniam
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BD ſunt æ〈que〉graues, & diſtantiæ BC CD ęquales; erit C </
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