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
71
30
72
73
37
74
75
32
76
77
25
78
79
34
80
81
35
82
83
36
84
85
37
86
87
38
88
89
39
90
91
40
92
93
41
94
95
42
96
97
43
98
99
44
100
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div173
"
type
="
section
"
level
="
1
"
n
="
54
">
<
p
>
<
s
xml:id
="
echoid-s2409
"
xml:space
="
preserve
">
<
pb
file
="
0092
"
n
="
92
"
rhead
="
ARCHIMEDIS
"/>
quia o g ipſius g x eſt dupla. </
s
>
<
s
xml:id
="
echoid-s2410
"
xml:space
="
preserve
">Sit p h dupla h t: </
s
>
<
s
xml:id
="
echoid-s2411
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2412
"
xml:space
="
preserve
">iun-
<
lb
/>
cta h κ ad ω producatur. </
s
>
<
s
xml:id
="
echoid-s2413
"
xml:space
="
preserve
">erit totius quidem portionis cen
<
lb
/>
trum grauitatis k; </
s
>
<
s
xml:id
="
echoid-s2414
"
xml:space
="
preserve
">partis eius, quæ intra humidum h; </
s
>
<
s
xml:id
="
echoid-s2415
"
xml:space
="
preserve
">eius
<
lb
/>
uero, quæ extra humidum in linea κ ω, quod ſit ω. </
s
>
<
s
xml:id
="
echoid-s2416
"
xml:space
="
preserve
">Itaque
<
lb
/>
demonſtrabitur
<
lb
/>
<
figure
xlink:label
="
fig-0092-01
"
xlink:href
="
fig-0092-01a
"
number
="
58
">
<
image
file
="
0092-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0092-01
"/>
</
figure
>
ſimiliter & </
s
>
<
s
xml:id
="
echoid-s2417
"
xml:space
="
preserve
">k z ad
<
lb
/>
humidi ſuperſi-
<
lb
/>
ciem perpẽdicu-
<
lb
/>
laris, & </
s
>
<
s
xml:id
="
echoid-s2418
"
xml:space
="
preserve
">quæ per
<
lb
/>
puncta h ω æqui-
<
lb
/>
diſtantes ipſi κ z
<
lb
/>
ducuntur. </
s
>
<
s
xml:id
="
echoid-s2419
"
xml:space
="
preserve
">quare
<
lb
/>
nõ manebit por
<
lb
/>
tio, ſed inclinabi
<
lb
/>
tur, donec baſis
<
lb
/>
ipſius in uno pũ
<
lb
/>
cto contingat ſu
<
lb
/>
perficiem humi-
<
lb
/>
di: </
s
>
<
s
xml:id
="
echoid-s2420
"
xml:space
="
preserve
">atque ita con
<
lb
/>
ſiſtet. </
s
>
<
s
xml:id
="
echoid-s2421
"
xml:space
="
preserve
">nam in por
<
lb
/>
tionibus æquali-
<
lb
/>
bus a o q l, a p m l, ductæ erunt ab extremitatibus baſium
<
lb
/>
a q, a m, quæ æquales portiones abſcindunt: </
s
>
<
s
xml:id
="
echoid-s2422
"
xml:space
="
preserve
">etenim a o q
<
lb
/>
ipſi a p m, utin ſuperioribus æqualis demonſtrabitur. </
s
>
<
s
xml:id
="
echoid-s2423
"
xml:space
="
preserve
">ergo
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0092-01
"
xlink:href
="
note-0092-01a
"
xml:space
="
preserve
">E</
note
>
æquales faciunt acutos angulos a q, a m cum diametris ba
<
lb
/>
ſium: </
s
>
<
s
xml:id
="
echoid-s2424
"
xml:space
="
preserve
">quòd anguli ad χ & </
s
>
<
s
xml:id
="
echoid-s2425
"
xml:space
="
preserve
">n æquales ſint. </
s
>
<
s
xml:id
="
echoid-s2426
"
xml:space
="
preserve
">quare ſi ducta
<
lb
/>
h k ad ω producatur, erit totius portionis grauitatis cen-
<
lb
/>
trum k; </
s
>
<
s
xml:id
="
echoid-s2427
"
xml:space
="
preserve
">partis eius, quæ in humido h; </
s
>
<
s
xml:id
="
echoid-s2428
"
xml:space
="
preserve
">at eius, quæ extra
<
lb
/>
humidum in linea h κ; </
s
>
<
s
xml:id
="
echoid-s2429
"
xml:space
="
preserve
">quod ſit ω: </
s
>
<
s
xml:id
="
echoid-s2430
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2431
"
xml:space
="
preserve
">h k ad humidi ſuper-
<
lb
/>
ficiem perpendicularis. </
s
>
<
s
xml:id
="
echoid-s2432
"
xml:space
="
preserve
">per eaſdem igitur rectas lineas,
<
lb
/>
quod quidem in humido eſt, ſurſum, & </
s
>
<
s
xml:id
="
echoid-s2433
"
xml:space
="
preserve
">quod extra humi-
<
lb
/>
dum deorſum feretur. </
s
>
<
s
xml:id
="
echoid-s2434
"
xml:space
="
preserve
">quare manebit portio, cuius baſis
<
lb
/>
humidi ſuperficiem in uno puncto continget: </
s
>
<
s
xml:id
="
echoid-s2435
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2436
"
xml:space
="
preserve
">axis cum
<
lb
/>
ipſa angulum faciet æqualem angulo χ. </
s
>
<
s
xml:id
="
echoid-s2437
"
xml:space
="
preserve
">Similiter demon-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0092-02
"
xlink:href
="
note-0092-02a
"
xml:space
="
preserve
">F</
note
>
</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>