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
="
036/01/150.jpg
"/>
<
p
id
="
id.2.1.145.12.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.145.12.1.1.0
">Sit pondus A; ſit BCD orbiculus tro
<
lb
/>
chleæ ponderi A alligate, cuius centrum
<
lb
/>
E; & FGH trochleæ ſurſum appenſæ, cu
<
lb
/>
ius centrum k; & LFGHBCDM funis
<
lb
/>
orbiculis circumducatur, qui religetur in L
<
lb
/>
trochleæ inferiori; ſitq; potentia in M ſu
<
lb
/>
ſtinens pondus A. </
s
>
<
s
id
="
id.2.1.145.12.1.1.0.a
">dico potentiam in M
<
lb
/>
ſubtriplam eſſe ponderis A. </
s
>
<
s
id
="
id.2.1.145.12.1.1.0.b
">ducantur FH
<
lb
/>
BD per centra kE horizonti æquidiſtan
<
lb
/>
tes, ſicut in præcedentibus dictum eſt. </
s
>
<
s
id
="
N14479
">Quo
<
lb
/>
niam enim funis FL trochleam ſuſtinet in
<
lb
/>
feriorem, quæ ſuſtinet orbiculum in eius
<
lb
/>
centro E; erit funis in L vt potentia ſuſti
<
lb
/>
nens orbiculum, ac ſi in ipſo E centro eſſet;
<
lb
/>
potentia verò in M eſt, ac ſi eſſet in D;
<
lb
/>
efficietur igitur DB tanquam vectis, cuius
<
lb
/>
<
arrow.to.target
n
="
note227
"/>
fulcimentum erit B; pondus verò A (vt ſu
<
lb
/>
pra oſtenſum eſt) ex E ſuſpenſum à dua
<
lb
/>
bus potentiis altera in D, altera in E ſuſten
<
lb
/>
tatum. </
s
>
<
s
id
="
id.2.1.145.12.1.2.0
">Cùm autem in pondere ſuſtinendo
<
lb
/>
vectes FH BD immobiles maneant, ſi in
<
lb
/>
funibus FL HB appendantur pondera, e
<
lb
/>
<
arrow.to.target
n
="
note228
"/>
runt hæc ipſa æqualia; cùm vectis FH ha
<
lb
/>
beat fulcimentum in medio; alioquin ex al
<
lb
/>
tera parte deorſum fieret motus, quod
<
expan
abbr
="
tamẽ
">tamen</
expan
>
<
lb
/>
non contingit. </
s
>
<
s
id
="
id.2.1.145.12.1.3.0
">tam igitur ſuſtinet funis FL,
<
lb
/>
quàm HB. </
s
>
<
s
id
="
N144AC
">deinde quoniam ex medio ve
<
lb
/>
<
figure
id
="
id.036.01.150.1.jpg
"
place
="
text
"
xlink:href
="
036/01/150/1.jpg
"
number
="
145
"/>
<
lb
/>
cte BD pondus ſuſpenditur, idcirco ſi duæ fuerint potentiæ in BD
<
lb
/>
<
arrow.to.target
n
="
note229
"/>
pondus ſuſtinentes, erunt inuicem æquales. </
s
>
<
s
id
="
id.2.1.145.12.1.4.0
">& quamquam funis </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>