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
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
71
30
72
73
37
74
75
32
76
77
25
78
79
34
80
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(3)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div12
"
type
="
section
"
level
="
1
"
n
="
10
">
<
p
>
<
s
xml:id
="
echoid-s197
"
xml:space
="
preserve
">
<
pb
o
="
3
"
file
="
0017
"
n
="
17
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
iuncta, & </
s
>
<
s
xml:id
="
echoid-s198
"
xml:space
="
preserve
">continuata: </
s
>
<
s
xml:id
="
echoid-s199
"
xml:space
="
preserve
">ſitq; </
s
>
<
s
xml:id
="
echoid-s200
"
xml:space
="
preserve
">ſectio planorũ ipſius K m K n:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s201
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s202
"
xml:space
="
preserve
">in humido intelligatur quædam magnitudo r s q y ex ip
<
lb
/>
ſo humido conſtans, æqualis, & </
s
>
<
s
xml:id
="
echoid-s203
"
xml:space
="
preserve
">ſimilis ſolidæ b h t c, quæ
<
lb
/>
quidem pars eſt ſolidæ magnitudinis in humido demerſa. </
s
>
<
s
xml:id
="
echoid-s204
"
xml:space
="
preserve
">
<
lb
/>
partes igitur humidi, quæ ſcilicet in prima pyramide ſuper
<
lb
/>
ficie x o continetur, & </
s
>
<
s
xml:id
="
echoid-s205
"
xml:space
="
preserve
">quæ in altera continetur p o, æquali
<
lb
/>
ter ſunt poſitæ, & </
s
>
<
s
xml:id
="
echoid-s206
"
xml:space
="
preserve
">continuatæ ſed non ſimiliter premun-
<
lb
/>
tur. </
s
>
<
s
xml:id
="
echoid-s207
"
xml:space
="
preserve
">nam contenta quidem x o, premitur ſolido e h t f, & </
s
>
<
s
xml:id
="
echoid-s208
"
xml:space
="
preserve
">
<
lb
/>
humido interiecto inter ſuperficies x o, l m, & </
s
>
<
s
xml:id
="
echoid-s209
"
xml:space
="
preserve
">plana pyra-
<
lb
/>
midis; </
s
>
<
s
xml:id
="
echoid-s210
"
xml:space
="
preserve
">contenta uero p o premitur ſolido r s q y, & </
s
>
<
s
xml:id
="
echoid-s211
"
xml:space
="
preserve
">humi-
<
lb
/>
do inter ſuperficies o p, m n, & </
s
>
<
s
xml:id
="
echoid-s212
"
xml:space
="
preserve
">pyramidis plana interiecto. </
s
>
<
s
xml:id
="
echoid-s213
"
xml:space
="
preserve
">
<
lb
/>
minor autem eſt grauitas humidi, quod eſt inter m n, o p,
<
lb
/>
quàm eius, quod inter l m, x o. </
s
>
<
s
xml:id
="
echoid-s214
"
xml:space
="
preserve
">ſolidum enim r s q y eſt mi
<
lb
/>
nus ſolido e h t f: </
s
>
<
s
xml:id
="
echoid-s215
"
xml:space
="
preserve
">cum ſit æquale ipſi b h t c; </
s
>
<
s
xml:id
="
echoid-s216
"
xml:space
="
preserve
">quia magnitu
<
lb
/>
dine æquale, & </
s
>
<
s
xml:id
="
echoid-s217
"
xml:space
="
preserve
">æque graue ponitur ſolidum, atque humi-
<
lb
/>
dum: </
s
>
<
s
xml:id
="
echoid-s218
"
xml:space
="
preserve
">reliquum autem reliquo inæquale eſt. </
s
>
<
s
xml:id
="
echoid-s219
"
xml:space
="
preserve
">conſtatigitur
<
lb
/>
partem contentã ſuperficie o p, expelli ab ea, quæ ipſa x o
<
lb
/>
continetur: </
s
>
<
s
xml:id
="
echoid-s220
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s221
"
xml:space
="
preserve
">non conſiſtere humidum. </
s
>
<
s
xml:id
="
echoid-s222
"
xml:space
="
preserve
">ponebatur au-
<
lb
/>
tem conſiſtens, & </
s
>
<
s
xml:id
="
echoid-s223
"
xml:space
="
preserve
">manens: </
s
>
<
s
xml:id
="
echoid-s224
"
xml:space
="
preserve
">non ergo ex ſuperficie humidi
<
lb
/>
extat aliquid ſolidæ magnitudinis. </
s
>
<
s
xml:id
="
echoid-s225
"
xml:space
="
preserve
">ſed neque demerſum
<
lb
/>
ſolidum ad inferiora feretur. </
s
>
<
s
xml:id
="
echoid-s226
"
xml:space
="
preserve
">Similiter enim prementur
<
lb
/>
omnes partes humidi æqualiter poſitæ, cum ſolidum ſit æ-
<
lb
/>
que graue, atque humidum.</
s
>
<
s
xml:id
="
echoid-s227
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div14
"
type
="
section
"
level
="
1
"
n
="
11
">
<
head
xml:id
="
echoid-head14
"
xml:space
="
preserve
">PROPOSITIO IIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s228
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Solidarvm</
emph
>
magnitudinum, quæcunque
<
lb
/>
leuior humido fuerit, demiſſa in humidum non
<
lb
/>
demergetur tota, ſed aliqua pars ipſius ex humi-
<
lb
/>
di ſuperficie extabit.</
s
>
<
s
xml:id
="
echoid-s229
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s230
"
xml:space
="
preserve
">SIT magnitudo ſolida humido leuior; </
s
>
<
s
xml:id
="
echoid-s231
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s232
"
xml:space
="
preserve
">demiſſa in hu
<
lb
/>
midum demergatur tota, ſi fieri poteſt, ut nulla pars </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>