DelMonte, Guidubaldo
,
Mechanicorvm Liber
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archimedes
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text
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<
chap
id
="
N1043F
">
<
p
id
="
id.2.1.29.1.0.0.0
"
type
="
main
">
<
s
id
="
N113DB
">
<
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xlink:href
="
036/01/046.jpg
"/>
capiat XM: cùm ipſi
<
lb
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quoq; hoc modo acci
<
lb
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piant, atq; ita accipe
<
lb
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re ſit neceſſe. </
s
>
<
s
id
="
id.2.1.29.1.1.5.0
">ſi enim li
<
lb
/>
bram DE in AB redire
<
lb
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demonſtrare volunt, com
<
lb
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parando deſcenſus pon
<
lb
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deris in D cum deſcen
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lb
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ſu ponderis in E, neceſſe
<
lb
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eſt, vt oſtendant rectum
<
lb
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deſcenſum OC corre
<
lb
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ſpondentem circumferen
<
lb
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tiæ DA maiorem eſſe re
<
lb
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cto deſcenſu TH circum
<
lb
/>
<
figure
id
="
id.036.01.046.1.jpg
"
place
="
text
"
xlink:href
="
036/01/046/1.jpg
"
number
="
31
"/>
<
lb
/>
ferentiæ EV correſpondente. </
s
>
<
s
id
="
id.2.1.29.1.1.6.0
">ſi enim partem tantùm totius de
<
lb
/>
ſcenſus ex D in A acciperent, vt D k; oſtenderentq; magis cape
<
lb
/>
re de directo deſcenſum Dk, quàm æqualis portio deſcenſus ex
<
lb
/>
puncto E. </
s
>
<
s
id
="
N1140F
">ſequetur pondus in D ſecundùm ipſos grauius eſſe pon
<
lb
/>
dere in E; & vſq; ad k tantùm deorſum moueri: ita vt libra mo
<
lb
/>
ta ſit in kI. </
s
>
<
s
id
="
N11415
">ſimiliter ſi libram KI in AB redire demonſtrare vo
<
lb
/>
lunt accipiendo portionem deſcenſus ex k in A; hoc eſt k S;
<
lb
/>
oſtenderentq; k S magis de directo capere, quàm ex aduerſo æ
<
lb
/>
qualis deſcenſus ex puncto I: ſimili modo ſequetur pondus in k
<
lb
/>
grauius eſſe, quàm in I; & vſq; ad S tantùm moueri. </
s
>
<
s
id
="
id.2.1.29.1.1.7.0
">& ſi rurſus
<
lb
/>
oſtenderent portionem deſcenſus ex S in A, atq; ita deinceps, re
<
lb
/>
ctiorem eſſe æquali deſcenſu ponderis oppoſiti; ſemper ſequetur
<
lb
/>
libram SI ad AB propius accedere, nunquam tamen in AB per
<
lb
/>
uenire demonſtrabunt. </
s
>
<
s
id
="
id.2.1.29.1.1.8.0
">ſi igitur libram DE in AB redire demon
<
lb
/>
ſtrare volunt, neceſſe eſt, vt deſcenſum ponderis ex D in A de di
<
lb
/>
recro capere quantitatem lineæ ex puncto D ipſi AB ad rectos
<
lb
/>
angulos ductæ accipiant. </
s
>
<
s
id
="
id.2.1.29.1.1.9.0
">atq; ita, ſi æquales deſcenſus DA AN
<
lb
/>
inuicem comparemus, qui æqualiter de directo capient OC CT,
<
lb
/>
eueniet idem pondus in D æquè graue eſſe, vt in A. </
s
>
<
s
id
="
N1143A
">ſi verò por
<
lb
/>
tiones tantum ex D A accipiamus; grauius erit in A, quàm
<
lb
/>
in D. </
s
>
<
s
id
="
N11440
">ergo ex diuerſitate tantùm modi conſiderandi, idem pon
<
lb
/>
dus, & grauius, & leuius eſſe continget. </
s
>
<
s
id
="
id.2.1.29.1.1.10.0
">non autem ex ipſa na</
s
>
</
p
>
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</
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</
archimedes
>