DelMonte, Guidubaldo
,
Mechanicorvm Liber
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archimedes
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text
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<
chap
id
="
N16758
">
<
pb
xlink:href
="
036/01/240.jpg
"/>
<
p
id
="
id.2.1.233.13.0.0.0
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type
="
main
">
<
s
id
="
id.2.1.233.13.1.1.0
">Sit, quod ſcindendum eſt A
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lb
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BCD
<
expan
abbr
="
parallelogrammũ
">parallelogrammum</
expan
>
rectan
<
lb
/>
gulum; ſintq; duo vectes æqua
<
lb
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les EF GF, & partes vectium
<
lb
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HF KF ſint intra ABCD; ſitq;
<
lb
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HF æqualis Fk, & HA æqua
<
lb
/>
lis KB. </
s
>
<
s
id
="
id.2.1.233.13.1.1.0.a
">Oporteat verò vecti
<
lb
/>
bus EF GF ſcindere ABCD
<
lb
/>
abſq; percuſsione, videlicet ſint
<
lb
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potentiæ mouentes in EG æqua
<
lb
/>
les. </
s
>
<
s
id
="
id.2.1.233.13.1.2.0
">vt autem ſcindatur ABCD,
<
lb
/>
oportet partem HA moueri uer
<
lb
/>
<
figure
id
="
id.036.01.240.1.jpg
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place
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text
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xlink:href
="
036/01/240/1.jpg
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number
="
216
"/>
<
lb
/>
ſus M. & kB verſus N; ſed dum vectes mouentur, putá alter in
<
lb
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M, alter verò in N; neceſſe eſt, vt punctum F immobile rema
<
lb
/>
neat; in illo enim fit vectium occurſus. </
s
>
<
s
id
="
id.2.1.233.13.1.3.0
">quare F erit fulcimen
<
lb
/>
tum vtriuſq; vectis, & FG mouebit partem kB, cuius fulcimen
<
lb
/>
tum erit F, & potentia mouens in G; & pondus in k. </
s
>
<
s
id
="
id.2.1.233.13.1.4.0
">ſimi
<
lb
/>
liter pars HA mouebitur à vecte EF, cuius fulcimentum F, po
<
lb
/>
tentia in E, & pondus in H. </
s
>
</
p
>
<
p
id
="
id.2.1.233.14.0.0.0
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type
="
main
">
<
s
id
="
id.2.1.233.14.1.1.0
">Si autem k H eſſent fulcimenta immobilia, & pondera in F;
<
lb
/>
dum vectis FG conatur mouere pondus in F, tunc ei reſiſtit ve
<
lb
/>
ctis EF, qui etiam conatur mouere pondus in F ad partem op
<
lb
/>
poſitam; ſed quoniam potentiæ ſunt æquales, & cætera æqualia;
<
lb
/>
ergo in F non fiet motus: æquale enim non mouet æquale. </
s
>
<
s
id
="
id.2.1.233.14.1.2.0
">patet
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lb
/>
igitur in F maximam fieri vectium ſibi inuicem occurrentium reſi
<
lb
/>
ſtentiam, ita ut F ſit quoddam immobile. </
s
>
<
s
id
="
id.2.1.233.14.1.3.0
">Quare conſiderando
<
lb
/>
cuneum,
<
expan
abbr
="
vtmouet
">vt mouet</
expan
>
vectibus ſibi inuicem aduerſis, forſitan eis po
<
lb
/>
tius utitur hoc ſecundo modo, quàm primo. </
s
>
</
p
>
<
p
id
="
id.2.1.233.15.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.233.15.1.1.0
">Quoniam autem totus cuneus ſcindendo mo
<
lb
/>
uetur, poſſumus idcirco eundem alio quoq; mo
<
lb
/>
do conſiderare; videlicet dum ingreditur id, </
s
>
</
p
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</
chap
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