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
|<
<
(23)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div91
"
type
="
section
"
level
="
1
"
n
="
36
">
<
p
>
<
s
xml:id
="
echoid-s1310
"
xml:space
="
preserve
">
<
pb
o
="
23
"
file
="
0057
"
n
="
57
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
ipſa b c: </
s
>
<
s
xml:id
="
echoid-s1311
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1312
"
xml:space
="
preserve
">idcirco f minor ipſa b r. </
s
>
<
s
xml:id
="
echoid-s1313
"
xml:space
="
preserve
">ſit ipſi f æqualis r ψ:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1314
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0057-01
"
xlink:href
="
note-0057-01a
"
xml:space
="
preserve
">C</
note
>
ducaturq; </
s
>
<
s
xml:id
="
echoid-s1315
"
xml:space
="
preserve
">ad b d perpendicularis ψ e, quæ posſit dimidiũ
<
lb
/>
eius, quod lineis _k_ r, ψ b continetur: </
s
>
<
s
xml:id
="
echoid-s1316
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1317
"
xml:space
="
preserve
">iungatur b c. </
s
>
<
s
xml:id
="
echoid-s1318
"
xml:space
="
preserve
">De-
<
lb
/>
monſtrandum eſt portionem in humidum demiſſam, ſicu-
<
lb
/>
ti dictum eſt, conſiſtere inclinatam ita, ut axis cum ſuperſi-
<
lb
/>
cie humidi angulum faciat angulo c b ψ æqualem. </
s
>
<
s
xml:id
="
echoid-s1319
"
xml:space
="
preserve
">demit-
<
lb
/>
tatur enim aliqua portio in humidum, ut baſis ipſius hu-
<
lb
/>
midi ſuperficiem non contingat: </
s
>
<
s
xml:id
="
echoid-s1320
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1321
"
xml:space
="
preserve
">ſi fieri poteſt, axis cum
<
lb
/>
ſuperficie humidi non faciat angulum æqualem angulo
<
lb
/>
e b ψ; </
s
>
<
s
xml:id
="
echoid-s1322
"
xml:space
="
preserve
">ſed primo maiorem. </
s
>
<
s
xml:id
="
echoid-s1323
"
xml:space
="
preserve
">ſecta autẽ portione plano per
<
lb
/>
axem, recto ad ſu-
<
lb
/>
<
figure
xlink:label
="
fig-0057-01
"
xlink:href
="
fig-0057-01a
"
number
="
36
">
<
image
file
="
0057-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0057-01
"/>
</
figure
>
perficiem humi-
<
lb
/>
di, ſit ſectio a p o l
<
lb
/>
rectanguli coni ſe
<
lb
/>
ctio: </
s
>
<
s
xml:id
="
echoid-s1324
"
xml:space
="
preserve
">ſuperficiei
<
lb
/>
humidi ſectio x s:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1325
"
xml:space
="
preserve
">ſitq; </
s
>
<
s
xml:id
="
echoid-s1326
"
xml:space
="
preserve
">axis portio-
<
lb
/>
nis, & </
s
>
<
s
xml:id
="
echoid-s1327
"
xml:space
="
preserve
">ſectiõis dia
<
lb
/>
meter n o: </
s
>
<
s
xml:id
="
echoid-s1328
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1329
"
xml:space
="
preserve
">du-
<
lb
/>
catur p y quidem
<
lb
/>
ipſi x s æquidi-
<
lb
/>
ſtans, quæ ſectio-
<
lb
/>
nem a p o l contin
<
lb
/>
gat in p: </
s
>
<
s
xml:id
="
echoid-s1330
"
xml:space
="
preserve
">p m ue-
<
lb
/>
ro æquidiſtans ip-
<
lb
/>
ſi n o: </
s
>
<
s
xml:id
="
echoid-s1331
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1332
"
xml:space
="
preserve
">p i ad
<
lb
/>
n o perpendicularis. </
s
>
<
s
xml:id
="
echoid-s1333
"
xml:space
="
preserve
">ſit præterea b r æqualis o ω. </
s
>
<
s
xml:id
="
echoid-s1334
"
xml:space
="
preserve
">itemq; </
s
>
<
s
xml:id
="
echoid-s1335
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0057-02
"
xlink:href
="
note-0057-02a
"
xml:space
="
preserve
">D</
note
>
r k ipſi t _a_ & </
s
>
<
s
xml:id
="
echoid-s1336
"
xml:space
="
preserve
">ω h perpendicularis ad axem. </
s
>
<
s
xml:id
="
echoid-s1337
"
xml:space
="
preserve
">Itaque quo-
<
lb
/>
niam ponitut axis portionis cum ſuperficie humidi facere
<
lb
/>
angulum maiorem angulo b: </
s
>
<
s
xml:id
="
echoid-s1338
"
xml:space
="
preserve
">erit angulus p y i angulo b
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0057-03
"
xlink:href
="
note-0057-03a
"
xml:space
="
preserve
">E</
note
>
maior. </
s
>
<
s
xml:id
="
echoid-s1339
"
xml:space
="
preserve
">maiorem ergo proportionem habet quadratum
<
lb
/>
p i ad quadratum y i, quam quadratum e ψ ad ψ b qua-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0057-04
"
xlink:href
="
note-0057-04a
"
xml:space
="
preserve
">F</
note
>
dratum. </
s
>
<
s
xml:id
="
echoid-s1340
"
xml:space
="
preserve
">Sed quam proportionem habet quadratum p i
<
lb
/>
ad quadratum i y, eandem linea k r habet ad lineam i y:</
s
>
<
s
xml:id
="
echoid-s1341
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>