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
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
101
43
102
103
104
105
106
107
108
109
110
<
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
>