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
|<
<
(12)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div44
"
type
="
section
"
level
="
1
"
n
="
23
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s680
"
xml:space
="
preserve
">
<
pb
o
="
12
"
file
="
0035
"
n
="
35
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
m productam per pendicularem eſſe ad ipſam e f, quam
<
lb
/>
quidem ſecet in n.</
s
>
<
s
xml:id
="
echoid-s681
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s682
"
xml:space
="
preserve
">
<
emph
style
="
sc
">D_vcatvr_</
emph
>
enim à puncto g linea g o ad rectos angulos ipſi
<
lb
/>
e f, diametrum in o ſecans: </
s
>
<
s
xml:id
="
echoid-s683
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s684
"
xml:space
="
preserve
">rurſus ab eodem puncto ducatur g p
<
lb
/>
ad diametrum perpendicularis: </
s
>
<
s
xml:id
="
echoid-s685
"
xml:space
="
preserve
">ſecet autem ipſa diameter producta
<
lb
/>
lineã e f in q. </
s
>
<
s
xml:id
="
echoid-s686
"
xml:space
="
preserve
">erit p b ipſi b q æqualis, ex trigeſimaquinta primi co
<
lb
/>
nicorum: </
s
>
<
s
xml:id
="
echoid-s687
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s688
"
xml:space
="
preserve
">g p pro-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0035-01
"
xlink:href
="
note-0035-01a
"
xml:space
="
preserve
">cor. 8. ſe-
<
lb
/>
xti.</
note
>
<
figure
xlink:label
="
fig-0035-01
"
xlink:href
="
fig-0035-01a
"
number
="
21
">
<
image
file
="
0035-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0035-01
"/>
</
figure
>
portionalis ĩter q p, p o
<
lb
/>
quare quadratũ g p re-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0035-02
"
xlink:href
="
note-0035-02a
"
xml:space
="
preserve
">17. ſextĩ.</
note
>
ctangulo o p q æquale
<
lb
/>
erit: </
s
>
<
s
xml:id
="
echoid-s689
"
xml:space
="
preserve
">ſed etiã æquale est
<
lb
/>
rectangulo cõtento ipſa
<
lb
/>
p b, & </
s
>
<
s
xml:id
="
echoid-s690
"
xml:space
="
preserve
">linea, iuxta quã
<
lb
/>
poſſunt, quæ à ſectione
<
lb
/>
ad diametrũ ordinatim
<
lb
/>
ducuntur, ex undecima
<
lb
/>
primi conicorum. </
s
>
<
s
xml:id
="
echoid-s691
"
xml:space
="
preserve
">ergo
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0035-03
"
xlink:href
="
note-0035-03a
"
xml:space
="
preserve
">14. ſexti.</
note
>
quæ est proportio q p
<
lb
/>
ad p b eadem est lineæ,
<
lb
/>
iuxta quã poſſunt, quæ
<
lb
/>
à ſectione ducũtur ad ip
<
lb
/>
ſam p o: </
s
>
<
s
xml:id
="
echoid-s692
"
xml:space
="
preserve
">est autem q p
<
lb
/>
dupla p b: </
s
>
<
s
xml:id
="
echoid-s693
"
xml:space
="
preserve
">cũ ſint p b,
<
lb
/>
b q æquales, ut dictum
<
lb
/>
est. </
s
>
<
s
xml:id
="
echoid-s694
"
xml:space
="
preserve
">Linea igitur iuxta
<
lb
/>
quam poſſunt, quæ à ſe-
<
lb
/>
ctione ducuntur ipſi-
<
lb
/>
us p o dupla erit: </
s
>
<
s
xml:id
="
echoid-s695
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s696
"
xml:space
="
preserve
">
<
lb
/>
propterea p o æqualis
<
lb
/>
ei, quæ uſque ad axem,
<
lb
/>
uidelicet ipſi k h: </
s
>
<
s
xml:id
="
echoid-s697
"
xml:space
="
preserve
">ſed eſt p g æqualis k m; </
s
>
<
s
xml:id
="
echoid-s698
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s699
"
xml:space
="
preserve
">angulus o p g angu-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0035-04
"
xlink:href
="
note-0035-04a
"
xml:space
="
preserve
">32. primi</
note
>
lo h k m; </
s
>
<
s
xml:id
="
echoid-s700
"
xml:space
="
preserve
">quòd uterque rectus. </
s
>
<
s
xml:id
="
echoid-s701
"
xml:space
="
preserve
">quare & </
s
>
<
s
xml:id
="
echoid-s702
"
xml:space
="
preserve
">o g ipſi h m est œqualis:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s703
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0035-05
"
xlink:href
="
note-0035-05a
"
xml:space
="
preserve
">4. primi.</
note
>
& </
s
>
<
s
xml:id
="
echoid-s704
"
xml:space
="
preserve
">angulus p o g angulo _k_ h m. </
s
>
<
s
xml:id
="
echoid-s705
"
xml:space
="
preserve
">æquidistantes igitur ſunt o g, h n:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s706
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0035-06
"
xlink:href
="
note-0035-06a
"
xml:space
="
preserve
">28</
note
>
</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>