DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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61
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rea dupla est LG ipſius DC.
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quia verò vtra〈que〉 DG DK æqualis
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facta eſt ipſi CE, erit
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& ipſa quo〈que〉 GK ipſius CE
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dupla.
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Quare
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N
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vtrã〈que〉
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LG Gk metitur, cùm & ipſarum medietates
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DC CE
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metiatur.
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Et quoniam
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magnitudo
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A ita eſt ad
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magnitudinem
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B, vt DC ad CE, ut autem DC ad CE, ita eſt LG ad G
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K,
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utra〈que〉
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enim vtriuſ〈que〉 duplex exiſtit
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(ſiquidem LG dupla eſt ipſius DC,
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& GK itidem ipſius CE duplex)
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emph
type
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erit
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magnitudo
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A ad
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magni
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tudinem
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B, ut LG ad G
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k; & conuertendo magnitudo B ad
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magnitudinem A, vt KG ad GL.
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Quotuplex autem est LG ipſius
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N, totuplex ſit
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magnitudo
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A ipſius F, erit vti〈que〉 LG ad N, vt
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magnitudo
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="
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A ad F, atqui est KG ad LG, vt
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magnitudo
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B ad
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magnitudinem
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A:
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LG verò ad N eſt, vt magnitudo A
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i-psã
">i
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psam</
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F,
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ex æquali igitur erit KG ad N, vt
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magnitudo
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B ad F quare æ
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〈que〉multiplex eſt
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kG
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ipſius N, veluti
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type
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italics
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magnitudo
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emph
type
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B ipſius F. demon
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<
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abbr
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ſtratũ
">ſtratum</
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>
<
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abbr
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aũt
">aunt</
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eſt
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<
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magnitudinẽ
">magnitudinem</
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<
emph
type
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A ipſius F multiplicem eſſe
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, ſiquidem eſt
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magnitudo A ad ipſam F, vt LG ad N, quæ quidem LG mul
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tiplex eſt ipſius N.
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qua propter F ipſarum AB communis existit men
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ſura. </
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<
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">Jta〈que〉 diuiſa LG in partes
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LH, HE, EC, CG,
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ipſi N aquales
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,
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cadent vti〈que〉 diuiſiones in punctis EC, quoniam
<
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Nipsã
">Nipsam</
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metitur, nec non ipſam quo〈que〉 LE metitur; cùm ſit LE ipſi
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CD æqualis. </
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>
<
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id
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">eruntquè diuiſiones LH, HE, EC, CG, numero
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pares; cùm N dimidiam ipſius LG, hoc eſt CD metiatur. </
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