DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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nec non magnitudines STVX in ſuis diſtantijs circa
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grauitatis E circumuerti poſſe; veluti diſtantias DZ DM, ma
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gnitudineſquè ZM circacentrum D. moueantur autem
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SEX, & ZDM, donec in centrum mundi vergant. </
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<
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oſtendetur magnitudines STVX eſſe, ac ſi in E eſſent appen
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ſę, ſiue conſtitutę; magnitudines verò ZM ac ſi in D poſi
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tæ fuerint. </
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<
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<
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eſt grauitatis magnitudinum STVXZM. ponatur magnitu
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do ipſis STVX ſimul ſumptis ęqualis in E; magnitudo au
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tem ipſis ZM ſimul æqualis in D; punctum C ſimiliter
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ipſarum quo〈que〉 centrum grauitatis exiſtet. </
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<
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do æ〈que〉ponderabunt. </
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tudines. </
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<
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<
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">Magnitudines commenſurabiles ex diſtantijs
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eandem permutatim proportionem habentibus,
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vt grauitates, æ〈que〉ponderant. </
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Commenſurabiles ſint magnitudines AB quarum centra
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grauita
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tis
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AB, & quædam ſit diſtantia E D, & vt
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ſe habet grauitas ma
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gnitudinis
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A ad
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grauitatem magnitudinis
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type
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B, ua ſit
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diſtãtia
">diſtantia</
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DC ad distantiam CE.
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ostendẽdũ
">ostendendum</
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eſi
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, ſi centra grauitatis AB fue
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rint in punctis ED conſtituta, hoc eſt A in E, & B in D;
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magnitudinis ex vtriſquè
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type
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magnitudinibus
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emph
type
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italics
"/>
AB compoſitæ centrum
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grauitatis eſſe punctum C. Quoniam enim ita est
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type
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magnitudo
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A ad
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magnitudinem
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B, vt DC ad CE. eſt autem
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magnitudo
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A ipſi
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B commenſurabilis; erit & CD ipſi CE commenſurabilis; hoc eſt
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recta linea rectæ lineæ
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emph.end
type
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"/>
commenſurabilis exiſtet.
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type
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Quare ipſarum EC
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CD communis reperitur menſura. </
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<
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id
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">quæ quidem ſit N. deinde ponatur
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ipſi EC æqualis vtra〈que〉 DG DK; ipſi verò DC æqualis EL. &
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quoniam æqualis est DG ipſi CE
<
emph.end
type
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, communi addita CG,
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erit DC
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ipſi EG æqualis
<
emph.end
type
="
italics
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; ſed DC eſt ipſi EL ęqualis:
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"/>
erit igitur LE æqua
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lis ipſi EG.
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emph.end
type
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quare vtra〈que〉 LE EG ęqualis eſt ipſi DC.
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type
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ac propte
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type
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