DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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æqualiter diſtantia;
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ſiquidem oſtenſum eſt ST TV VX inter
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ſe æquales eſſe. </
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<
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æquales eſſe.
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& ſunt
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magnitudines STVXZM
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numero pares,
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cùm ſectiones totius LK, ( in quibus inſunt) ipſi N æquales
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ſint inter ſe ęquales, & numero pares. </
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<
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nes in LG, & in Gk exiſtentes numero pares eſſe.
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conſtat magni
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tudinis ex omnibus
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STVXZM magnitudinibus
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compoſitæ centrum
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<
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<
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<
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grauitatis eſſe medietatem restæ lineæ, in qua centra grauitatis magnitu
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dinum habentur. </
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<
s
id
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">Ita〈que〉 cùm LE ſit æqualis C D, EC verò ipſi D
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k,
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<
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tota LC æqualis erit CK.
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cùm autem ſint LHDK æquales; ſi
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quidem ſunt eidem N æquales, & harum medietates, hoc eſt
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LS ipſi MK ęqualis erit. </
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<
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at verò linea SM magnitudinum centra grauitatis
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abbr
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coniũgit
">coniungit</
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,
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<
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ergo magnitudinis ex omnibus
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emph.end
type
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STVXZM magnitudinibus
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compoſi
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tæcentrum grauitatis est punctum C. Quare
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loco magnitudinum
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STVX,
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emph
type
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poſito
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type
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centro grauitatis
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type
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A ad E, B verò
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loco ipſarum
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ZM poſito
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type
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ad D,
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emph.end
type
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italics
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erit punctum C grauitatis centrum ma
<
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gnitudinis ex vtriſ〈que〉 magnitudinibus AB compoſitæ. </
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>
<
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id
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">ac
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prop terea
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emph
type
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ex puncto C æ〈que〉ponderabunt.
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type
="
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"/>
ergo magnitudines AB
<
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ex diſtantijs DC CE, quę permutatim eandem habent pro.
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portionem, vt grauitates, ę〈que〉ponderant. </
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>
<
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oportebat. </
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ex
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3
<
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de
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cimi.
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11
<
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quinti.
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cor.
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4.
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quin
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ti.
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22.
<
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quinti.
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<
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iemme.
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<
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ex
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2.
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cor.
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<
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lemma.
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2.
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cor. </
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<
s
id
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tæ huius.
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*</
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<
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number
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39
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number
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<
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Circa finem Gręcus codex habet,
<
foreign
lang
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">τα κέντ<10>α τῶν μέσων μεγεθῶν</
foreign
>
,
<
lb
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quaſi dicat, centrum grauitatis magnitudinis ex omnibus
<
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/>
magnitudinibus STVXZM compoſitę medietatem eſſe rectę
<
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lineę VX, quę centra mediarum magnitudinum VX coniun
<
lb
/>
git; quòd cùm ſint omnes magnitudines numero pares;
<
expan
abbr
="
itidẽ
">itidem</
expan
>
<
lb
/>
eſſet punctum C, & quamuis hoc ſit verum, non tamen ad hoc
<
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/>
reſpexit Archimedes duabus de cauſis.
<
expan
abbr
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Nãin
">Nanin</
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>
ſecudo corollario
<
lb
/>
pręcedentis oſtendit centrum grauitatis omnium magnitu
<
lb
/>
dinum eſſe medietatem rectę lineę, quę grauitatis centra om
<
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nia coniungit. </
s
>
<
s
id
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">Deinde concludere volens punctum C
<
expan
abbr
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centrũ
">centrum</
expan
>
<
lb
/>
eſſe grauitatis omnium magnitudinum, ſtatim inquit hoc ſe
<
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/>
qui, quia LC eſt ipſi CK ęqualis, quę ſunt medietates totius </
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