DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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N10019
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077/01/143.jpg
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pagenum
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139
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<
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italics
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<
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abbr
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exdemõ
">exdemom</
expan
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<
lb
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stratis.
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italics
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15.
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emph
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italics
"/>
primi
<
lb
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huius.
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type
="
italics
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</
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13.
<
emph
type
="
italics
"/>
primi
<
lb
/>
huius.
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type
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italics
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id.077.01.143.1.jpg
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077/01/143/1.jpg
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p
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N15310
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type
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head
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<
s
id
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N15312
">SCHOLIVM.</
s
>
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p
>
<
p
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type
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main
">
<
s
id
="
N15316
">Ecce qúo Archimedes incipit inueſtigare centrum graui
<
lb
/>
tatis paraboles. </
s
>
<
s
id
="
N1531A
">nam ex hoc, quod oſtendit centrum grauita
<
lb
/>
tis figuræ in portione planè inſcriptæ eſſe in diametro por
<
lb
/>
tionis, ſtatim colliget in quarta propoſitione centrum graui
<
lb
/>
tatis paraboles in diametro quo〈que〉 ipſius portionis exiſtere.
<
lb
/>
interponit autem Archimedes ſe〈que〉ntem propoſitionem.
<
expan
abbr
="
nã
">nam</
expan
>
<
lb
/>
antequam inueniat centrum grauitatis paraboles, opus habet
<
lb
/>
prius oſtendere centra grauitatis duarum, & vt ita dicam om
<
lb
/>
nium parabol
<
gap
/>
rum diametros in eadem proportione ſecare.
<
lb
/>
ad quod demonſtrandum, hanc
<
expan
abbr
="
paſſionẽ
">paſſionem</
expan
>
figuris planè inſcri
<
lb
/>
ptis priùs accidere
<
expan
abbr
="
oſtẽdit
">oſtendit</
expan
>
. potuiſſetquè Archimedes priùs quar
<
lb
/>
tam propoſitionem oſtendere, quam tertiam; ſe〈que〉ntem ve
<
lb
/>
rò propoſitionem immediatè poſuit poſt ſecundam, ordo e
<
lb
/>
nim ſic poſtulat. </
s
>
<
s
id
="
N15342
">etenim ambæ deijs pertractant, quæ rectili
<
lb
/>
neis figuris plane inſcriptis accidunt. </
s
>
<
s
id
="
N15346
">Pręterea earum demon
<
lb
/>
ſtrationes ferè circa eadem verſantur, cùm ijsdem rectis lineis
<
lb
/>
in portionibus eodem modo ductis vtantur; ob ſe〈que〉ntis ve
<
lb
/>
rò propoſitionis intelligentiam hęc priùs oſtendemus. </
s
>
</
p
>
<
figure
id
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id.077.01.143.2.jpg
"
xlink:href
="
077/01/143/2.jpg
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number
="
92
"/>
<
p
id
="
N15351
"
type
="
head
">
<
s
id
="
N15353
">LEMMA I.</
s
>
</
p
>
<
p
id
="
N15355
"
type
="
main
">
<
s
id
="
N15357
">Eandem habeat proportionem AB ad CD, quam habet
<
lb
/>
GH ad KL. CD verò ad EF
<
expan
abbr
="
eã
">eam</
expan
>
,
<
expan
abbr
="
quã
">quam</
expan
>
habet kL ad MN. ſintquè </
s
>
</
p
>
</
chap
>
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body
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</
text
>
</
archimedes
>