Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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<
archimedes
>
<
text
>
<
body
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<
chap
id
="
N10019
">
<
pb
pagenum
="
79
"
xlink:href
="
005/01/087.jpg
"/>
<
p
id
="
N12608
"
type
="
main
">
<
s
id
="
N1260A
">Nihilominus etiam phyſicis principijs inhærendo ex ijs,
<
lb
/>
quæ Ariſtoteles in præſentibus docet, optimè huic difficul
<
lb
/>
tati poteſt occurri,
<
expan
abbr
="
primaq.
">primaque</
expan
>
pars quæſtionis reſolui. </
s
>
<
s
id
="
N12615
">Nam
<
lb
/>
ſuppoſito, quod pars iugi, quę eleuatur diſtinguatur à parte,
<
lb
/>
quæ deprimitur per lineam perpendicularem cadentem à
<
lb
/>
centro circa quod conuertitur libra, ſeu ab axe, vel ſparto
<
lb
/>
ad centrum terræ, vt senſu conſtabit in ſequenti figura: ſi
<
lb
/>
quidem quidquid libræ eſt ad leuam, v.g. talis lineæ, rapi
<
lb
/>
tur deorſum; quidquid verò eſt ad dexteram attollitur ſur
<
lb
/>
ſum: hoc inquam ſuppoſito, ait Ariſtoteles, quod ſi libra
<
lb
/>
axem, ſeu centrum habeat ſupra iugum, ac per depreſſio
<
lb
/>
nem alterius partis illius, altera eleuetur, plus quippe libræ
<
lb
/>
eſſet ex parte eleuata, quàm ex parte depreſſa:
<
expan
abbr
="
proindeq.
">proindeque</
expan
>
<
lb
/>
pars eleuata neceſſeriò deſcendet, & ad deſcenſum illius,
<
lb
/>
ſequitur depreſſam aſcendere, quouſque vtraque conſtitua
<
lb
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tur æqualis, ac reuertatur ad æquilibrium. </
s
>
<
s
id
="
N12634
">Id quod ita ſe
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lb
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habere ſic probat. </
s
>
<
s
id
="
N12639
">Nam ſi iugum libræ ſit BC in æquilibrio
<
lb
/>
<
figure
id
="
id.005.01.087.1.jpg
"
xlink:href
="
005/01/087/1.jpg
"
number
="
24
"/>
<
lb
/>
conſtitutum: ſpartum
<
lb
/>
autem quo
<
expan
abbr
="
ſuſpẽditur
">ſuſpenditur</
expan
>
,
<
lb
/>
AD, ita videlicet, vt
<
lb
/>
axis ſit ipſum D, quod
<
lb
/>
eſt punctum ſupra lati
<
lb
/>
tudinem iugi. </
s
>
<
s
id
="
N12652
">Dein
<
lb
/>
de ſpartum proijciatur
<
lb
/>
deorſum,
<
expan
abbr
="
efficiatq.
">efficiatque</
expan
>
per
<
lb
/>
pendicularem ADM.
<
lb
/>
</
s
>
<
s
id
="
N12661
">Tunc ſi in ipſo B ponatur onus, B quidem deſcendet in
<
lb
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E, C autem aſcendet vbi H. </
s
>
<
s
id
="
N12667
">Quamobrem linea, quæ in
<
lb
/>
priori ſitu libram diuidebat bifariam, eſt ipſa perpendicu
<
lb
/>
laris DM. </
s
>
<
s
id
="
N1266F
">Illa verò quæ poſtea eodem pacto diuidit in,
<
lb
/>
poſteriori ſitu propter onus, quod incumbit in E, erit
<
lb
/>
DG. </
s
>
<
s
id
="
N12677
">Quare ea pars libræ, ſeu iugi. </
s
>
<
s
id
="
N1267A
">EH, quæ eſt extra
<
lb
/>
perpendiculum AM verſus H maior erit dimidio nem
<
lb
/>
pe quantum importat triangulus DGM, quod ſpatium
<
lb
/>
Ariſtoteles ſignauit
<
expan
abbr
="
Pq.
">PQ</
expan
>
Si igitur amoueatur onus, quod </
s
>
</
p
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</
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</
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>
</
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>
</
archimedes
>