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
31
10
32
33
11
34
35
12
36
37
13
38
39
14
40
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
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(36)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div146
"
type
="
section
"
level
="
1
"
n
="
47
">
<
p
>
<
s
xml:id
="
echoid-s2135
"
xml:space
="
preserve
">
<
pb
o
="
36
"
file
="
0083
"
n
="
83
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
ad unum.</
s
>
<
s
xml:id
="
echoid-s2136
"
xml:space
="
preserve
">] _Hoc nos proxime demonſtrauimus._</
s
>
<
s
xml:id
="
echoid-s2137
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2138
"
xml:space
="
preserve
">Demonſtratum eſt enim ſuperius portionem cuius axis
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-01
"
xlink:href
="
note-0083-01a
"
xml:space
="
preserve
">R</
note
>
eſt maior, quàm ſeſquialter eius, quæ uſque ad axem, ſiad
<
lb
/>
humidum in grauitate non minorem proportionem ha-
<
lb
/>
beat &</
s
>
<
s
xml:id
="
echoid-s2139
"
xml:space
="
preserve
">c.</
s
>
<
s
xml:id
="
echoid-s2140
"
xml:space
="
preserve
">] _Illud uero demonſtrauit in quarta propoſitione buius_
<
lb
/>
_libri_.</
s
>
<
s
xml:id
="
echoid-s2141
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div152
"
type
="
section
"
level
="
1
"
n
="
48
">
<
head
xml:id
="
echoid-head53
"
xml:space
="
preserve
">II.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2142
"
xml:space
="
preserve
">Si portio ad humidum in grauitate minorem
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-02
"
xlink:href
="
note-0083-02a
"
xml:space
="
preserve
">A</
note
>
quidem proportionem habeat, quàm quadra-
<
lb
/>
tum ſ b ad quadratum b d; </
s
>
<
s
xml:id
="
echoid-s2143
"
xml:space
="
preserve
">maiorem uero,
<
lb
/>
quàm quadratum x o ad quadratum b d; </
s
>
<
s
xml:id
="
echoid-s2144
"
xml:space
="
preserve
">de-
<
lb
/>
miſſa in humidum, adeo inclinata, ut baſis ip-
<
lb
/>
ſius non contingat humidum, inclinata conſi-
<
lb
/>
ſtet; </
s
>
<
s
xml:id
="
echoid-s2145
"
xml:space
="
preserve
">ita ut baſis ſuperficiem humidi nullo modo
<
lb
/>
contingat; </
s
>
<
s
xml:id
="
echoid-s2146
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2147
"
xml:space
="
preserve
">axis cum humidi ſuperficie angu-
<
lb
/>
lum faciat maiorem angulo χ.</
s
>
<
s
xml:id
="
echoid-s2148
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div154
"
type
="
section
"
level
="
1
"
n
="
49
">
<
head
xml:id
="
echoid-head54
"
xml:space
="
preserve
">III.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2149
"
xml:space
="
preserve
">Si portio ad humidum in grauitate, eam ha-
<
lb
/>
beat proportionem, quam quadratum x o ad
<
lb
/>
quadratum b d; </
s
>
<
s
xml:id
="
echoid-s2150
"
xml:space
="
preserve
">demiſſa in humidum inclinata
<
lb
/>
adeo, ut baſis ipſius non contingat humidum;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2151
"
xml:space
="
preserve
">conſiſtet, & </
s
>
<
s
xml:id
="
echoid-s2152
"
xml:space
="
preserve
">manebit ita, ut baſis in uno pun-
<
lb
/>
cto humidi ſuperficiem contingat: </
s
>
<
s
xml:id
="
echoid-s2153
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2154
"
xml:space
="
preserve
">axis cum
<
lb
/>
ſuperficie humidi angulũ faciat angulo χ æqualẽ. </
s
>
<
s
xml:id
="
echoid-s2155
"
xml:space
="
preserve
">
<
lb
/>
Quòd ſi portio ad humidum in grauitate cam
<
lb
/>
proportionem habeat, quam quadratum p f </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>