Archimedes
,
Archimedis De insidentibvs aqvae
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Handwritten
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 51
>
Scan
Original
11
4
12
13
5
14
15
6
16
17
18
19
2
20
21
3
22
23
4
24
25
5
26
27
6
28
29
7
30
31
8
32
33
9
34
35
10
36
37
11
38
39
12
40
<
1 - 30
31 - 51
>
page
|<
<
(15)
of 51
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div40
"
type
="
section
"
level
="
1
"
n
="
28
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s795
"
xml:space
="
preserve
">
<
pb
o
="
15
"
file
="
0045
"
n
="
45
"
rhead
="
LIBER II.
"/>
<
figure
xlink:label
="
fig-0045-01
"
xlink:href
="
fig-0045-01a
"
number
="
35
">
<
image
file
="
0045-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0045-01
"/>
</
figure
>
a, i, ipſi i, q, æqualis & </
s
>
<
s
xml:id
="
echoid-s796
"
xml:space
="
preserve
">quæ a, q, ipſi p, ***, æquediſtans. </
s
>
<
s
xml:id
="
echoid-s797
"
xml:space
="
preserve
">Demonſtran-
<
lb
/>
dum eſt autem quod portio demiſſa in humidum poſita inclinata ita,
<
lb
/>
ut baſis ipſis non tang at humidnm inclinata conſiſtet ita ut axis ip-
<
lb
/>
ſius ad ſuperficiem humidi faciat angulum minorem angulo f, baſis
<
lb
/>
autem ipſius nec ſecundum unum tangat ſuperficiem humidi. </
s
>
<
s
xml:id
="
echoid-s798
"
xml:space
="
preserve
">Demit
<
lb
/>
tatur h, in humidum, & </
s
>
<
s
xml:id
="
echoid-s799
"
xml:space
="
preserve
">conſiſtat ita, ut baſis ipſius ſecundum unum
<
lb
/>
ſignum tangat ſuperſiciem humidi. </
s
>
<
s
xml:id
="
echoid-s800
"
xml:space
="
preserve
">Secta autem portione per axem
<
lb
/>
plano recto ad ſuperficiem humidi, ſectio ſit ſuperficiei quidem por-
<
lb
/>
tionis, quæ a, h, b, l, rectanguli coni ſectio, ſuperficiei autem humidi,
<
lb
/>
quæ a, Z, axis autem portioni, & </
s
>
<
s
xml:id
="
echoid-s801
"
xml:space
="
preserve
">dyameter ſectionis, quæ b, d, & </
s
>
<
s
xml:id
="
echoid-s802
"
xml:space
="
preserve
">ſece-
<
lb
/>
tur quæ b, d, penes ſigna, K, r, conſimiliter ſuperioribus, ducatur au-
<
lb
/>
tem & </
s
>
<
s
xml:id
="
echoid-s803
"
xml:space
="
preserve
">quæ h, i, æquedistanter ipſi a, Z, contingens ſectionem conipe-
<
lb
/>
nes h. </
s
>
<
s
xml:id
="
echoid-s804
"
xml:space
="
preserve
">Quæ autem habet æquediſtanter ipſi b, d, quàm autem h, s,
<
lb
/>
perpendicularis ſuper b, d, quoniam igitur portio ad humidum in gra-
<
lb
/>
uitate hanc habet proportionem, quam tetragonum a, x, ad id quod
<
lb
/>
a, b, d. </
s
>
<
s
xml:id
="
echoid-s805
"
xml:space
="
preserve
">Quam autem proportionem habet proportio ad humidum in
<
lb
/>
grauitate, hanc habet tetragonum, quod ab h, t, ad id quod a, b, d, pro-
<
lb
/>
pter eandem prioribus. </
s
>
<
s
xml:id
="
echoid-s806
"
xml:space
="
preserve
">palam ꝙ quæ habet, eſt æqualis ipſi, x, qua-
<
lb
/>
re & </
s
>
<
s
xml:id
="
echoid-s807
"
xml:space
="
preserve
">portiones, a, m, Z, a, p, q, ſunt æquales. </
s
>
<
s
xml:id
="
echoid-s808
"
xml:space
="
preserve
">et quoniā in portioni-
<
lb
/>
bus æqualibus, & </
s
>
<
s
xml:id
="
echoid-s809
"
xml:space
="
preserve
">ſimilibus. </
s
>
<
s
xml:id
="
echoid-s810
"
xml:space
="
preserve
">apol a, K, h, l, K, ab extremitatib. </
s
>
<
s
xml:id
="
echoid-s811
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>