DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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archimedes
>
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text
>
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body
>
<
chap
id
="
N10019
">
<
p
id
="
N10A75
"
type
="
main
">
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s
id
="
N10A9B
">
<
pb
xlink:href
="
077/01/022.jpg
"
pagenum
="
18
"/>
ſtatim non ſolùm ę〈que〉ponderare non poſſe, verùm etiam pla
<
lb
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num D deorſum tendere concipiemus. </
s
>
<
s
id
="
N10ADE
">& hoc nulla alia de
<
lb
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cauſa, quàm quòd cùm D maius ſit, quàm E, ſtatim
<
expan
abbr
="
ipsũ
">ipsum</
expan
>
<
lb
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D, quàm E grauius quo〈que〉 eſſe concipimus. </
s
>
<
s
id
="
N10AE8
">Conſiderare
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lb
/>
igitur plana cum grauitate non eſt omnino à ratione
<
expan
abbr
="
alienũ
">alienum</
expan
>
.
<
lb
/>
Quare vtrum 〈que〉 titulum, nempe planorum æ〈que〉ponderan
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lb
/>
tium, vel centra grauitatis
<
expan
abbr
="
planorũ
">planorum</
expan
>
, admittendum duximus.
<
lb
/>
Verùm quoniam Archimedes ſecundum librum ſimplici vo
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lb
/>
cabulo, nimirum (quaſi ſimul omnia complectens)
<
emph
type
="
italics
"/>
æ〈que〉pon
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lb
/>
derantium
<
emph.end
type
="
italics
"/>
in ſcripſit; idcirco tam primum, quàm ſecundum li
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lb
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brum (æ〈que〉ponderantium) inſcribendum exiſtimamus. </
s
>
<
s
id
="
N10B06
">eo
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lb
/>
què libentiùs; quoniam ipſemet Eutocius horum quo〈que〉 li
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lb
/>
brorum explanator hoſce libros hoc tantùm nomine æ〈que〉
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lb
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ponderantium nuncupauit: alijquè omnes, qui hos Archime
<
lb
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dis libros nominant; hoc titulo de æ〈que〉ponderantibus nun
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lb
/>
cupant. </
s
>
<
s
id
="
N10B12
">Præterea titulus hic magis operi congruere mihi vide
<
lb
/>
tur; quoniam nonnulla Archimedes in principio pertractat,
<
lb
/>
quæ tam ſolidis, quàm planis communia exiſtunt; quamuis
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lb
/>
cætera ad plana ſint
<
expan
abbr
="
tantũ
">tantum</
expan
>
<
expan
abbr
="
referẽda
">referenda</
expan
>
. in quibus omnibus de re
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lb
/>
admodum vtili, & ad
<
expan
abbr
="
quãplurima
">quamplurima</
expan
>
<
expan
abbr
="
cõduẽcti
">conduencti</
expan
>
pertractat.
<
expan
abbr
="
quãdoqui
">quandoqui</
expan
>
<
lb
/>
<
expan
abbr
="
dẽ
">dem</
expan
>
ex ijs, quæ ab Archimede his libris docemur, in
<
expan
abbr
="
multarũ
">multarum</
expan
>
<
expan
abbr
="
re-rũ
">re
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lb
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rum</
expan
>
<
expan
abbr
="
cognitionẽ
">cognitionem</
expan
>
peruenire poſſumus. </
s
>
<
s
id
="
N10B3F
">quod facilè conſtat inpri
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lb
/>
mis ipſiuſmet Archimedis
<
expan
abbr
="
exẽplo
">exemplo</
expan
>
.
<
expan
abbr
="
ſiquidẽ
">ſiquidem</
expan
>
hac methodo ipſe
<
lb
/>
in libro de quadratura paraboles
<
expan
abbr
="
cõparãdo
">comparando</
expan
>
plana in libra
<
expan
abbr
="
cõ
">com</
expan
>
<
lb
/>
ſtituta, ipſius paraboles
<
expan
abbr
="
quadraturã
">quadraturam</
expan
>
miro artificio adinuenit.
<
lb
/>
Deinceps ex cognitione
<
expan
abbr
="
cẽtroiũ
">centrorum</
expan
>
grauitatis planorum, nos in
<
lb
/>
cognitionem centrorum grauitatum ſolidorum deducimur.
<
lb
/>
Deni〈que〉 adeo proficua eſt hæc doctrina, quam nobis in his
<
lb
/>
libris Archimedes præſtat; vt affirmare non verear, nullum
<
lb
/>
eſſe Theorema, nullum què problema ad rem mechanicam
<
lb
/>
pertinens, quod in ſui ſpeculatione peculiare
<
expan
abbr
="
nõ
">non</
expan
>
aſſumat
<
expan
abbr
="
fun-damẽtum
">fun
<
lb
/>
damentum</
expan
>
ex ijs, quæ Archimedes in his libris ediſſerit. </
s
>
<
s
id
="
N10B74
">〈que〉m
<
lb
/>
admodum (cæteris interim omiſſis) patet ex vulgata illa pro
<
lb
/>
poſitione enunciante, ita ſe habere pondus ad pondus, vt di
<
lb
/>
ſtantia ad diſtantiam permutatim ſe habet, ex quibus ſuſpen
<
lb
/>
duntur. </
s
>
<
s
id
="
N10B7E
">quæ præclariſſimè ab ipſo in primo libro demonſtra
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lb
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tur. </
s
>
<
s
id
="
N10B82
">Et quamuis Iordanus Nemorarius (〈que〉m ſecutus eſt </
s
>
</
p
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</
chap
>
</
body
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</
archimedes
>