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
171
30
172
173
31
174
175
32
176
177
33
178
179
34
180
181
35
182
183
36
184
185
37
186
187
38
188
189
39
190
191
40
192
193
41
194
195
42
196
197
43
198
199
44
200
<
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
>
