Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
Scan
Original
41
15
42
43
16
44
45
17
46
47
18
48
49
19
50
51
20
52
53
21
54
55
22
56
57
23
58
59
24
60
61
25
62
63
26
64
65
27
66
67
22
68
69
29
70
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(43)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div184
"
type
="
section
"
level
="
1
"
n
="
57
">
<
p
>
<
s
xml:id
="
echoid-s2674
"
xml:space
="
preserve
">
<
pb
o
="
43
"
file
="
0101
"
n
="
101
"
rhead
="
DEIIS QVAE VEH. IN AQVA.
"/>
ad quadratum bd: </
s
>
<
s
xml:id
="
echoid-s2675
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2676
"
xml:space
="
preserve
">quam habet portio ad humidum in
<
lb
/>
grauitate, eandem quadratum nt habet ad bd quadratũ,
<
lb
/>
ex iis, quæ dicta ſunt: </
s
>
<
s
xml:id
="
echoid-s2677
"
xml:space
="
preserve
">conſtat n t lineæ ψ æqualem eſſe,
<
lb
/>
quare & </
s
>
<
s
xml:id
="
echoid-s2678
"
xml:space
="
preserve
">portio-
<
lb
/>
<
figure
xlink:label
="
fig-0101-01
"
xlink:href
="
fig-0101-01a
"
number
="
67
">
<
image
file
="
0101-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0101-01
"/>
</
figure
>
nes a n z, a g q
<
lb
/>
ſunt æquales. </
s
>
<
s
xml:id
="
echoid-s2679
"
xml:space
="
preserve
">Et
<
lb
/>
quoniam in por
<
lb
/>
tionibus æquali
<
lb
/>
bus, & </
s
>
<
s
xml:id
="
echoid-s2680
"
xml:space
="
preserve
">ſimilibus
<
lb
/>
a g q l, a n z l, ab
<
lb
/>
extremitatibus
<
lb
/>
baſiũ ductæ ſunt
<
lb
/>
a q, a z, quæ æ-
<
lb
/>
quales portiões
<
lb
/>
abſcindunt: </
s
>
<
s
xml:id
="
echoid-s2681
"
xml:space
="
preserve
">per
<
lb
/>
ſpicuum eſt an-
<
lb
/>
gulos facere æ-
<
lb
/>
quales cum por
<
lb
/>
tionum diame-
<
lb
/>
tris: </
s
>
<
s
xml:id
="
echoid-s2682
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2683
"
xml:space
="
preserve
">triangu-
<
lb
/>
lorum n fs, g ω c, angulos, qui ad f ω æquales eſſe: </
s
>
<
s
xml:id
="
echoid-s2684
"
xml:space
="
preserve
">itemque
<
lb
/>
æquales inter ſe, s b, c b; </
s
>
<
s
xml:id
="
echoid-s2685
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2686
"
xml:space
="
preserve
">s r, c r, quare & </
s
>
<
s
xml:id
="
echoid-s2687
"
xml:space
="
preserve
">n χ, g y æquales:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2688
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2689
"
xml:space
="
preserve
">χ t y i. </
s
>
<
s
xml:id
="
echoid-s2690
"
xml:space
="
preserve
">cũq; </
s
>
<
s
xml:id
="
echoid-s2691
"
xml:space
="
preserve
">g h dupla ſit ipſius h i, erit n χ minor, quàm
<
lb
/>
duplaipſius χ t. </
s
>
<
s
xml:id
="
echoid-s2692
"
xml:space
="
preserve
">Sit igitur n m ipſius m t dupla: </
s
>
<
s
xml:id
="
echoid-s2693
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2694
"
xml:space
="
preserve
">iuncta
<
lb
/>
m K protrahatur ad e. </
s
>
<
s
xml:id
="
echoid-s2695
"
xml:space
="
preserve
">Itaque centrum grauitatis totius
<
lb
/>
erit punctum K: </
s
>
<
s
xml:id
="
echoid-s2696
"
xml:space
="
preserve
">partis eius, quæ eſt in humido, punctũ m: </
s
>
<
s
xml:id
="
echoid-s2697
"
xml:space
="
preserve
">
<
lb
/>
eius autem, quæ extra humidum in linea protracta, quod
<
lb
/>
ſit e. </
s
>
<
s
xml:id
="
echoid-s2698
"
xml:space
="
preserve
">ergo ex proxime demonſtratis patet, nõ manere por
<
lb
/>
tionem, ſed inclinari adeo, ut baſis nullo modo ſuperficiẽ
<
lb
/>
humidi contingat. </
s
>
<
s
xml:id
="
echoid-s2699
"
xml:space
="
preserve
">At uero portionem conſiſtere ita, uta-
<
lb
/>
xis cum ſuperficie humidi faciat angulum angulo φ mino-
<
lb
/>
rem, ſic demonſtrabitur. </
s
>
<
s
xml:id
="
echoid-s2700
"
xml:space
="
preserve
">conſiſtat enim, ſi fieri poteſt, ut
<
lb
/>
non faciat angulum minorem angulo φ: </
s
>
<
s
xml:id
="
echoid-s2701
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2702
"
xml:space
="
preserve
">alia eadem diſ-
<
lb
/>
ponantur; </
s
>
<
s
xml:id
="
echoid-s2703
"
xml:space
="
preserve
">ut in ſubiecta figura. </
s
>
<
s
xml:id
="
echoid-s2704
"
xml:space
="
preserve
">eodem modo </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>