DelMonte, Guidubaldo
,
Mechanicorvm Liber
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 288
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N13F6F
">
<
pb
xlink:href
="
036/01/180.jpg
"/>
<
p
id
="
id.2.1.167.11.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.167.11.1.1.0
">Sit trochlea habens orbiculum, cuius
<
lb
/>
centrum A; & ſit pondus B alligatum fu
<
lb
/>
ni CDEFG, qui circa orbiculum ſit re
<
lb
/>
uolutus, ac tandem religatus in G: ſitq;
<
lb
/>
potentia in H ſuſtinens pondus. </
s
>
<
s
id
="
id.2.1.167.11.1.2.0
">dico po
<
lb
/>
tentiam in H duplam eſſe ponderis B. </
s
>
<
s
id
="
N150B6
">du
<
lb
/>
catur DF per
<
expan
abbr
="
centrũ
">centrum</
expan
>
A horizonti æquidi
<
lb
/>
ſtans. </
s
>
<
s
id
="
id.2.1.167.11.1.3.0
">
<
expan
abbr
="
quoniã
">quoniam</
expan
>
igitur potentia in H ſuſtinet
<
lb
/>
<
expan
abbr
="
trochleã
">trochleam</
expan
>
, quæ ſuſtinet
<
expan
abbr
="
orbiculũ
">orbiculum</
expan
>
in eius
<
expan
abbr
="
cẽtro
">centro</
expan
>
<
lb
/>
A, qui pondus ſuſtinet; erit potentia ſuſti
<
lb
/>
nens
<
expan
abbr
="
orbiculũ
">orbiculum</
expan
>
, ac ſi in A
<
expan
abbr
="
cõſtituta
">conſtituta</
expan
>
eſſet; ipſa
<
lb
/>
ergo in A exiſtente, pondere verò in D
<
lb
/>
appenſo, funiq; CD religato; erit DF
<
lb
/>
tanquam vectis, cuius fulcimentum erit
<
lb
/>
F, pondus in D, & potentia in A. </
s
>
<
s
id
="
id.2.1.167.11.1.3.0.a
">po
<
lb
/>
<
arrow.to.target
n
="
note253
"/>
tentia verò ad pondus eſt, vt DF ad
<
lb
/>
ad FA, & DF dupla eſt ipſius FA; Po
<
lb
/>
<
figure
id
="
id.036.01.180.1.jpg
"
place
="
text
"
xlink:href
="
036/01/180/1.jpg
"
number
="
167
"/>
<
lb
/>
tentia igitur in A, ſiue in H, quod idem eſt, ponderis B dupla erit. </
s
>
<
lb
/>
<
s
id
="
id.2.1.167.11.1.4.0
">quod demonſtrare oportebat. </
s
>
</
p
>
<
p
id
="
id.2.1.168.1.0.0.0
"
type
="
margin
">
<
s
id
="
id.2.1.168.1.1.1.0
">
<
margin.target
id
="
note253
"/>
3
<
emph
type
="
italics
"/>
Huius. de vecte.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
id.2.1.169.1.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.169.1.1.1.0
">Præterea conſiderandum occurrit, cùm hæc omnia maneant,
<
lb
/>
idem eſſe vnico exiſtente fune CD EFG hoc modo orbiculo
<
expan
abbr
="
cicum
">circum</
expan
>
<
lb
/>
uoluto, ac ſi duo eſſent funes CD FG in vecte ſiue libra DF al
<
lb
/>
ligati. </
s
>
</
p
>
<
p
id
="
id.2.1.169.2.0.0.0
"
type
="
head
">
<
s
id
="
id.2.1.169.2.1.1.0
">ALITER. </
s
>
</
p
>
<
p
id
="
id.2.1.169.3.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.169.3.1.1.0
">Iiſdem poſitis, ſi in G appenſum eſſet pondus k æquale pon
<
lb
/>
deri B, pondera B k æqueponderabunt in libra DF, cuius centrum
<
lb
/>
A. </
s
>
<
s
id
="
id.2.1.169.3.1.1.0.a
">potentia verò in H ſuſtinens pondera Bk eſt ipſis ſimul ſum
<
lb
/>
ptis æqualis, & pondera BK ipſius B ſunt dupla; potentia ergo in
<
lb
/>
H ponderis B dupla erit. </
s
>
<
s
id
="
id.2.1.169.3.1.2.0
">& quoniam funis religatus in G nihil a
<
lb
/>
liud efficit, niſi quòd pondus B ſuſtinet, ne deſcendat; quod idem
<
lb
/>
efficit pondus k in G appenſum: potentia igitur in H ſuſtinens
<
lb
/>
pondus B, fune religato in G, dupla eſt ponderis B. </
s
>
<
s
id
="
N15138
">quod de
<
lb
/>
monſtrare oportebat. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>