Archimedes
,
Archimedis De insidentibvs aqvae
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 51
>
11
(4)
12
13
(5)
14
15
(6)
16
17
18
19
(2)
20
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 51
>
page
|<
<
of 51
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div8
"
type
="
section
"
level
="
1
"
n
="
8
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s63
"
xml:space
="
preserve
">
<
pb
file
="
0010
"
n
="
10
"
rhead
="
DEINSID ENTIBVS AQVAE
"/>
centrum ipſius erit quòd & </
s
>
<
s
xml:id
="
echoid-s64
"
xml:space
="
preserve
">terræ centrum. </
s
>
<
s
xml:id
="
echoid-s65
"
xml:space
="
preserve
">Palàm igitur quòd ſuperficies
<
lb
/>
bumidi conſtantis non motibabet figuram ſpbæræ habentis centrum idem
<
lb
/>
cum terra quaniam talis est, ut ſecta per idem ſignum ſectionem faciat cir-
<
lb
/>
culi periferiam habentis ſignum per quod ſecatur plano.</
s
>
<
s
xml:id
="
echoid-s66
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div10
"
type
="
section
"
level
="
1
"
n
="
9
">
<
head
xml:id
="
echoid-head15
"
xml:space
="
preserve
">Theorema iij. Propoſitio iij.</
head
>
<
p
>
<
s
xml:id
="
echoid-s67
"
xml:space
="
preserve
">Solidarum magnitudinum quæ ęqualis molis & </
s
>
<
s
xml:id
="
echoid-s68
"
xml:space
="
preserve
">ęqualis pon
<
lb
/>
deris cum humido dimiſſe in humidum demergentur ita ut ſu
<
lb
/>
perficiem humidi non excedant nihil & </
s
>
<
s
xml:id
="
echoid-s69
"
xml:space
="
preserve
">non adhuc referentur
<
lb
/>
ad inferius.</
s
>
<
s
xml:id
="
echoid-s70
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s71
"
xml:space
="
preserve
">DEmonstratur enim aliqua magnitudo æque grauium cum bumido
<
lb
/>
in bumidum, & </
s
>
<
s
xml:id
="
echoid-s72
"
xml:space
="
preserve
">ſi poſſibile eſt excedat ipſa ſuperſiciem humidi conſi
<
lb
/>
ſtat autem bumidum ut maneat immotum. </
s
>
<
s
xml:id
="
echoid-s73
"
xml:space
="
preserve
">Intelligatur autem ali-
<
lb
/>
quod planum eductum per centrum terræ, & </
s
>
<
s
xml:id
="
echoid-s74
"
xml:space
="
preserve
">humidi, & </
s
>
<
s
xml:id
="
echoid-s75
"
xml:space
="
preserve
">per ſolidam ma-
<
lb
/>
gnitudinem. </
s
>
<
s
xml:id
="
echoid-s76
"
xml:space
="
preserve
">Sectio autem ſit ſuperficiei quidem bumidi quæ a, b, g, d. </
s
>
<
s
xml:id
="
echoid-s77
"
xml:space
="
preserve
">Solide
<
lb
/>
autem magnitudines quæ e, z, b, t, inſidentia centrum autem terræ. </
s
>
<
s
xml:id
="
echoid-s78
"
xml:space
="
preserve
">Sint au
<
lb
/>
tem ſolidæ quidem magnitudinis quod quidem b, g, b, t, in bumido quod au
<
lb
/>
tem b, e, z, g extra intelligatur, & </
s
>
<
s
xml:id
="
echoid-s79
"
xml:space
="
preserve
">ſolida figura cõpreſſa pyramide baſſem
<
lb
/>
quidem babentem par alelogrommum, quod in ſuperficie bumidi, uerticem
<
lb
/>
autem centrum terræ ſectio autem ſit plani in quo est quæ a, b, g, d, perife-
<
lb
/>
ria, & </
s
>
<
s
xml:id
="
echoid-s80
"
xml:space
="
preserve
">planorum pyramidis quæ K, l, K, m, deſcribatur autem quędam al-
<
lb
/>
terius ſphæræ, ſuperficies circa centrum K, in bumido ſub e, z, b, t, quæ x, o,
<
lb
/>
p, ſecetur hoc a ſuperficie plani. </
s
>
<
s
xml:id
="
echoid-s81
"
xml:space
="
preserve
">Sumatur autem, & </
s
>
<
s
xml:id
="
echoid-s82
"
xml:space
="
preserve
">qnædam alia pyramis
<
lb
/>
æqualis, & </
s
>
<
s
xml:id
="
echoid-s83
"
xml:space
="
preserve
">ſimilis comprebendenti ſolidim continua ipſi ſectio autem ſit
<
lb
/>
planorum ipſius quæ K, m, K, n, & </
s
>
<
s
xml:id
="
echoid-s84
"
xml:space
="
preserve
">in bumido intelligatur quædam magni-
<
lb
/>
<
figure
xlink:label
="
fig-0010-01
"
xlink:href
="
fig-0010-01a
"
number
="
6
">
<
image
file
="
0010-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0010-01
"/>
</
figure
>
tudo bumido aſſumpta quæ r, s, e, y, æqualis, & </
s
>
<
s
xml:id
="
echoid-s85
"
xml:space
="
preserve
">ſimilis ſolidæ, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>