DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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pagenum
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64
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<
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æqualiter diſtantia;
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type
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ſiquidem oſtenſum eſt ST TV VX inter
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ſe æquales eſſe. </
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<
s
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">Eodemquè modo oſtendetur XZ ZM cæteris
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æquales eſſe.
<
emph
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& ſunt
<
emph.end
type
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"/>
magnitudines STVXZM
<
emph
type
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italics
"/>
numero pares,
<
emph.end
type
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italics
"/>
<
lb
/>
cùm ſectiones totius LK, ( in quibus inſunt) ipſi N æquales
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ſint inter ſe ęquales, & numero pares. </
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<
s
id
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N12401
">cùm oſtenſum ſit ſectio
<
lb
/>
<
arrow.to.target
n
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marg51
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nes in LG, & in Gk exiſtentes numero pares eſſe.
<
emph
type
="
italics
"/>
conſtat magni
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lb
/>
tudinis ex omnibus
<
emph.end
type
="
italics
"/>
STVXZM magnitudinibus
<
emph
type
="
italics
"/>
compoſitæ centrum
<
emph.end
type
="
italics
"/>
<
lb
/>
<
arrow.to.target
n
="
marg52
"/>
<
emph
type
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grauitatis eſſe medietatem restæ lineæ, in qua centra grauitatis magnitu
<
lb
/>
dinum habentur. </
s
>
<
s
id
="
N12421
">Ita〈que〉 cùm LE ſit æqualis C D, EC verò ipſi D
<
emph.end
type
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italics
"/>
k,
<
lb
/>
<
emph
type
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italics
"/>
tota LC æqualis erit CK.
<
emph.end
type
="
italics
"/>
cùm autem ſint LHDK æquales; ſi
<
lb
/>
quidem ſunt eidem N æquales, & harum medietates, hoc eſt
<
lb
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LS ipſi MK ęqualis erit. </
s
>
<
s
id
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N12431
">& ob id SC ipſi CM eſt æqualis.
<
lb
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at verò linea SM magnitudinum centra grauitatis
<
expan
abbr
="
coniũgit
">coniungit</
expan
>
,
<
lb
/>
<
emph
type
="
italics
"/>
ergo magnitudinis ex omnibus
<
emph.end
type
="
italics
"/>
STVXZM magnitudinibus
<
emph
type
="
italics
"/>
compoſi
<
lb
/>
tæcentrum grauitatis est punctum C. Quare
<
emph.end
type
="
italics
"/>
loco magnitudinum
<
lb
/>
STVX,
<
emph
type
="
italics
"/>
poſito
<
emph.end
type
="
italics
"/>
centro grauitatis
<
emph
type
="
italics
"/>
A ad E, B verò
<
emph.end
type
="
italics
"/>
loco ipſarum
<
lb
/>
ZM poſito
<
emph
type
="
italics
"/>
ad D,
<
emph.end
type
="
italics
"/>
erit punctum C grauitatis centrum ma
<
lb
/>
gnitudinis ex vtriſ〈que〉 magnitudinibus AB compoſitæ. </
s
>
<
s
id
="
N12460
">ac
<
lb
/>
prop terea
<
emph
type
="
italics
"/>
ex puncto C æ〈que〉ponderabunt.
<
emph.end
type
="
italics
"/>
ergo magnitudines AB
<
lb
/>
ex diſtantijs DC CE, quę permutatim eandem habent pro.
<
lb
/>
portionem, vt grauitates, ę〈que〉ponderant. </
s
>
<
s
id
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">quod demonſtrare
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oportebat. </
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>
</
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<
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type
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<
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<
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<
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ex
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3
<
emph
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de
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cimi.
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type
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</
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</
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11
<
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quinti.
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cor.
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type
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4.
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type
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quin
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ti.
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type
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</
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</
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type
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22.
<
emph
type
="
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"/>
quinti.
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type
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</
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</
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type
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<
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<
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type
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iemme.
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type
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</
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</
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type
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<
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<
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type
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ex
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2.
<
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type
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cor.
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</
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</
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<
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type
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<
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id
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<
margin.target
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<
emph
type
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lemma.
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type
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</
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</
p
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<
p
id
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type
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<
s
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<
margin.target
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2.
<
emph
type
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cor. </
s
>
<
s
id
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N124D1
">quin
<
lb
/>
tæ huius.
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emph.end
type
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</
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</
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p
id
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type
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*</
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>
</
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<
figure
id
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id.077.01.068.1.jpg
"
xlink:href
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number
="
39
"/>
<
figure
id
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id.077.01.068.2.jpg
"
xlink:href
="
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number
="
40
"/>
<
p
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type
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">
<
s
id
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">SCHOLIVM.</
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>
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<
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"/>
Circa finem Gręcus codex habet,
<
foreign
lang
="
grc
">τα κέντ<10>α τῶν μέσων μεγεθῶν</
foreign
>
,
<
lb
/>
quaſi dicat, centrum grauitatis magnitudinis ex omnibus
<
lb
/>
magnitudinibus STVXZM compoſitę medietatem eſſe rectę
<
lb
/>
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
<
lb
/>
reſpexit Archimedes duabus de cauſis.
<
expan
abbr
="
Nãin
">Nanin</
expan
>
ſecudo corollario
<
lb
/>
pręcedentis oſtendit centrum grauitatis omnium magnitu
<
lb
/>
dinum eſſe medietatem rectę lineę, quę grauitatis centra om
<
lb
/>
nia coniungit. </
s
>
<
s
id
="
N1250F
">Deinde concludere volens punctum C
<
expan
abbr
="
centrũ
">centrum</
expan
>
<
lb
/>
eſſe grauitatis omnium magnitudinum, ſtatim inquit hoc ſe
<
lb
/>
qui, quia LC eſt ipſi CK ęqualis, quę ſunt medietates totius </
s
>
</
p
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</
chap
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</
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</
text
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</
archimedes
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