DelMonte, Guidubaldo
,
Mechanicorvm Liber
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archimedes
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text
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body
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<
chap
id
="
N16758
">
<
p
id
="
id.2.1.233.19.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.233.19.1.2.0
">
<
pb
n
="
115
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xlink:href
="
036/01/243.jpg
"/>
iis, quæ ſupra diximus. </
s
>
<
s
id
="
id.2.1.233.19.1.3.0
">Moueatur cuneus ita, vt E tandem per
<
lb
/>
ueniat in C, & poſitio cunei ABC ſit MNO, & poſitio pon
<
lb
/>
deris AEFG ſit PMQI, & G ſit in I. </
s
>
<
s
id
="
id.2.1.233.19.1.3.0.a
">Quoniam itaq; dum cu
<
lb
/>
neus ſuper lineam BO mouetur, pondus AEFG ſurſum moue
<
lb
/>
tur à linea AC. </
s
>
<
s
id
="
id.2.1.233.19.1.3.0.b
">& dum cuneus ABC vlterius progreditur, ſem
<
lb
/>
per pondus AEFG magis à latere cunei AC eleuatur: pondus igi
<
lb
/>
tur AEFG ſuper planum cunei AC mouebitur; quod quidem
<
lb
/>
nihil aliud eſt, niſi planum horizonti inclinatum, cuius inclinatio
<
lb
/>
eſt angulus BAC. </
s
>
</
p
>
<
p
id
="
id.2.1.233.20.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.233.20.1.1.0
">Hic motus facilè ad libram, vectemq; reducitur. </
s
>
<
s
id
="
id.2.1.233.20.1.2.0
">quod enim
<
lb
/>
ſuper planum horizonti inclinatum mouetur ex nona Pappi octa
<
lb
/>
ui libri Mathematicarum collectionum reducitur ad libram. </
s
>
<
s
id
="
id.2.1.233.20.1.3.0
">ea
<
lb
/>
dem enim eſt ratio, ſiue manente cuneo, vt pondus ſuper cunei
<
lb
/>
latus moueatur; ſiue eodem etiam moto, pondus adhuc ſuper ip
<
lb
/>
ſius latus moueatur; tamquam ſuper planum horizonti incli
<
lb
/>
natum. </
s
>
</
p
>
<
p
id
="
id.2.1.233.21.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.233.21.1.1.0
">Ea verò, quæ ſcinduntur, quomodo tam
<
lb
/>
quam ſuper plana horizonti inclinata mouean
<
lb
/>
tur, oſtendamus. </
s
>
</
p
>
<
p
id
="
id.2.1.233.22.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.233.22.1.1.0
">Sit cuneus ABC,
<
lb
/>
& AB ipſi BC æqua
<
lb
/>
lis. </
s
>
<
s
id
="
id.2.1.233.22.1.2.0
">Diuidatur AC
<
lb
/>
bifariam in D, conne
<
lb
/>
ctaturq; BD. </
s
>
<
s
id
="
id.2.1.233.22.1.2.0.a
">ſit dein
<
lb
/>
de linea EF, per quam
<
lb
/>
tranſeat planum hori
<
lb
/>
zonti æquidiſtans; ſitq;
<
lb
/>
BD in eadem linea EF;
<
lb
/>
& dum cuneus percuti
<
lb
/>
tur, dumq; mouetur ver
<
lb
/>
<
figure
id
="
id.036.01.243.1.jpg
"
place
="
text
"
xlink:href
="
036/01/243/1.jpg
"
number
="
220
"/>
<
lb
/>
ſus E, ſemper BD ſit in linea EF. </
s
>
<
s
id
="
N169B3
">quod verò ſcindendum eſt
<
lb
/>
ſit GHLM, intra quod ſit pars cunei kBI. </
s
>
<
s
id
="
N169B7
">manifeſtum eſt, </
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>
</
p
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</
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>
</
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</
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</
archimedes
>