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
|<
<
(29)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div120
"
type
="
section
"
level
="
1
"
n
="
40
">
<
p
>
<
s
xml:id
="
echoid-s1668
"
xml:space
="
preserve
">
<
pb
o
="
29
"
file
="
0069
"
n
="
69
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
interdũ quidem ita, ut baſis in humidum magis
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-01
"
xlink:href
="
note-0069-01a
"
xml:space
="
preserve
">C</
note
>
demergatur: </
s
>
<
s
xml:id
="
echoid-s1669
"
xml:space
="
preserve
">interdum uero ita, ut ſuperficiem
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-02
"
xlink:href
="
note-0069-02a
"
xml:space
="
preserve
">D</
note
>
humidi nullo modo contingat; </
s
>
<
s
xml:id
="
echoid-s1670
"
xml:space
="
preserve
">ſecundum pro-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-03
"
xlink:href
="
note-0069-03a
"
xml:space
="
preserve
">E</
note
>
portionem, quam habet ad humidum in grauita-
<
lb
/>
te. </
s
>
<
s
xml:id
="
echoid-s1671
"
xml:space
="
preserve
">Eorum quæ dicta ſunt, ſingula inferius de-
<
lb
/>
monſtrabuntur.</
s
>
<
s
xml:id
="
echoid-s1672
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1673
"
xml:space
="
preserve
">SIT portio qualis dicta eſt: </
s
>
<
s
xml:id
="
echoid-s1674
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1675
"
xml:space
="
preserve
">ſecta ipſa plano per axẽ.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1676
"
xml:space
="
preserve
">recto ad ſuperficiem humidi, ſectio ſit a p o l rectanguli co
<
lb
/>
ni ſeccio: </
s
>
<
s
xml:id
="
echoid-s1677
"
xml:space
="
preserve
">axis portionis, & </
s
>
<
s
xml:id
="
echoid-s1678
"
xml:space
="
preserve
">ſectionis diameter b d: </
s
>
<
s
xml:id
="
echoid-s1679
"
xml:space
="
preserve
">ſece-
<
lb
/>
turq; </
s
>
<
s
xml:id
="
echoid-s1680
"
xml:space
="
preserve
">b d in puncto quidem _k_ ita, ut b k dupla ſitipſius
<
lb
/>
_k_ d: </
s
>
<
s
xml:id
="
echoid-s1681
"
xml:space
="
preserve
">in c uero ita, ut b d ad
<
emph
style
="
sc
">K C</
emph
>
proportionẽ habeat ean-
<
lb
/>
dem, quam quindecim ad quatuor. </
s
>
<
s
xml:id
="
echoid-s1682
"
xml:space
="
preserve
">conſtat igitur k c ma-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-04
"
xlink:href
="
note-0069-04a
"
xml:space
="
preserve
">F</
note
>
iorem eſſe, quàm quæ uſque ad axem. </
s
>
<
s
xml:id
="
echoid-s1683
"
xml:space
="
preserve
">Sit ei quæ uſque ad
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-05
"
xlink:href
="
note-0069-05a
"
xml:space
="
preserve
">G</
note
>
axem æqualis k r: </
s
>
<
s
xml:id
="
echoid-s1684
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1685
"
xml:space
="
preserve
">ipſius k r ſeſquialtera d s. </
s
>
<
s
xml:id
="
echoid-s1686
"
xml:space
="
preserve
">Eſt autem
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-06
"
xlink:href
="
note-0069-06a
"
xml:space
="
preserve
">H</
note
>
& </
s
>
<
s
xml:id
="
echoid-s1687
"
xml:space
="
preserve
">s b ſeſquial-
<
lb
/>
<
figure
xlink:label
="
fig-0069-01
"
xlink:href
="
fig-0069-01a
"
number
="
43
">
<
image
file
="
0069-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0069-01
"/>
</
figure
>
tera ipſius b r.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1688
"
xml:space
="
preserve
">Itaque iũgatur
<
lb
/>
a b, & </
s
>
<
s
xml:id
="
echoid-s1689
"
xml:space
="
preserve
">per c du
<
lb
/>
catur c e per-
<
lb
/>
pẽdicularis ad
<
lb
/>
b d, quæ lineã
<
lb
/>
a b in puncto
<
lb
/>
e ſecet: </
s
>
<
s
xml:id
="
echoid-s1690
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1691
"
xml:space
="
preserve
">per
<
lb
/>
e ducatur e z
<
lb
/>
æquidiſtãs b d. </
s
>
<
s
xml:id
="
echoid-s1692
"
xml:space
="
preserve
">
<
lb
/>
Rurſus ipſa a b
<
lb
/>
bifariã in t di-
<
lb
/>
uiſa, ducatur t
<
lb
/>
h eidem b d æ-
<
lb
/>
quidiſtans: </
s
>
<
s
xml:id
="
echoid-s1693
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1694
"
xml:space
="
preserve
">
<
lb
/>
intelligantur rectanguli coni ſectiones deſcriptæ a e i </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>