Jordanus de Nemore
,
[Liber de ratione ponderis]
,
1565
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 32
>
1
2
3
4
5
6
7
8
9
10
<
1 - 10
11 - 20
21 - 30
31 - 32
>
page
|<
<
of 32
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
p
>
<
s
id
="
id.2.2.02.09
">
<
pb
xlink:href
="
049/01/009.jpg
"/>
</
s
>
</
p
>
</
subchap1
>
<
subchap1
>
<
p
>
<
s
id
="
id.2.3.00.01
">Quaestio secunda.
<
lb
/>
</
s
>
</
p
>
<
p
>
<
figure
id
="
id.049.01.009.1.jpg
"
xlink:href
="
049/01/009/1.jpg
"
number
="
2
"/>
<
figure
id
="
id.049.01.009.2.jpg
"
xlink:href
="
049/01/009/2.jpg
"
number
="
3
"/>
<
s
id
="
id.2.3.01.01
">Quum aequilibris fuit positio aequalis aequis ponderibus ap
<
lb
/>
pensis ab aequalitate non discedet: et si á rectitudine separa
<
lb
/>
tur, ad aequalitatis situm reuertetur. </
s
>
<
s
id
="
id.2.3.01.02
">Si uero inaequalia appen
<
lb
/>
dantur, ex parte grauioris usque ad directionem declinare co
<
lb
/>
getur. </
s
>
</
p
>
<
p
>
<
s
id
="
id.2.3.02.01
">Aequilibris dicitur quando á
<
lb
/>
centro circunuolutionis bra
<
lb
/>
chia regulae sunt aequalia. </
s
>
<
s
id
="
id.2.3.02.02
">Sit
<
lb
/>
ergo centrum a, et regula b, a, c, ap
<
lb
/>
pensa b, et c, perpendiculum f, a. </
s
>
<
s
id
="
id.2.3.02.03
">Cir
<
lb
/>
cunducto igitur circulo per b, et c,
<
lb
/>
in medio cuius inferioris medietatis
<
lb
/>
sit e, manifestum quoniam descensus
<
lb
/>
tam b, quám c, e, per circunferentiam
<
lb
/>
circuli uersus e, et cum aeque obli
<
lb
/>
quus sit hinc inde descensus, quum sint
<
lb
/>
aeque ponderosa, non mutabit alter
<
lb
/>
utrum. </
s
>
<
s
id
="
id.2.3.02.04
">Ponatur item quód submit
<
lb
/>
atur ex parte b, et ascendat ex par
<
lb
/>
te c, dico quoniam redibit ad aequali
<
lb
/>
tatem. est enim minus obliquus de
<
lb
/>
scensus a, ad aequalitatem, quám a, b,
<
lb
/>
uersus e. </
s
>
<
s
id
="
id.2.3.02.05
">Sumantur enim sursum ar
<
lb
/>
cus aequales, quantumlibet parui qui
<
lb
/>
sint c, d, et h, b, et ductis lineis ad ae
<
lb
/>
quidistantiam aequalitatis, quae sint,
<
lb
/>
c, 2, l, et d, m, n. </
s
>
<
s
id
="
id.2.3.02.06
">Item b, k, h, 6, y, t, di
<
lb
/>
mittatur orthogonaliter descendens
<
lb
/>
diametrum quae sit f, 2, m, a, k, y, e,
<
lb
/>
erit quód 2, m, maior k, y, quia sum
<
lb
/>
pto uersus f, arcu ex eo quód sit aequa
<
lb
/>
lis c, d, et ducta ex transuerso linea
<
lb
/>
x, r, s, erit r, 2, minor 2, m, quód facile demonstrabis. </
s
>
<
s
id
="
id.2.3.02.07
">Et quia r, 2, est ae
<
lb
/>
qualis k, y, erit 2, m, maior k, y. </
s
>
<
s
id
="
id.2.3.02.08
">Quia igitur quilibet arcus sub c, plus ca
<
lb
/>
piat de directo quám ei aequalis sub b, directo est descensus a, c, quám a, b,
<
lb
/>
et ideo in altiori situ grauius erit c, quám b, redibit ergo ad aequalitatem.</
s
>
</
p
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>