Archimedes
,
Archimedis De insidentibvs aqvae
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 6
[out of range]
>
<
1 - 6
[out of range]
>
page
|<
<
(4)
of 51
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div27
"
type
="
section
"
level
="
1
"
n
="
20
">
<
pb
o
="
4
"
file
="
0023
"
n
="
23
"
rhead
="
LBERI II.
"/>
<
figure
number
="
20
">
<
image
file
="
0023-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0023-01
"/>
</
figure
>
</
div
>
<
div
xml:id
="
echoid-div28
"
type
="
section
"
level
="
1
"
n
="
21
">
<
head
xml:id
="
echoid-head31
"
xml:space
="
preserve
">TERTIVS.</
head
>
<
p
>
<
s
xml:id
="
echoid-s268
"
xml:space
="
preserve
">Recta portio rectanguli conoydalis, quando axem habue
<
lb
/>
rit maiorem, quam emiolium eius, quæ uſq; </
s
>
<
s
xml:id
="
echoid-s269
"
xml:space
="
preserve
">ad axem omnẽ
<
lb
/>
proportionem habens ad humidum in grauitate dimiſſa in
<
lb
/>
humido ita, ut baſis ipſius tota ſit in humido poſita inclina-
<
lb
/>
ta: </
s
>
<
s
xml:id
="
echoid-s270
"
xml:space
="
preserve
">non manet in clinata, ſed reſtituetur ita, ut axis ipfius ſe-
<
lb
/>
cundum perpendicularem ſit.</
s
>
<
s
xml:id
="
echoid-s271
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s272
"
xml:space
="
preserve
">_D_Imittatur e
<
unsure
/>
nim aliqua portio in humidum æqualis dicta eſt: </
s
>
<
s
xml:id
="
echoid-s273
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s274
"
xml:space
="
preserve
">
<
lb
/>
ſit ipſius baſis in humido. </
s
>
<
s
xml:id
="
echoid-s275
"
xml:space
="
preserve
">Secta autem plano per axem recto ad
<
lb
/>
ſuperficiem humidi ſectio ſit quę apol. </
s
>
<
s
xml:id
="
echoid-s276
"
xml:space
="
preserve
">rectanguli coni ſectio a-
<
lb
/>
xis autem portionis, & </
s
>
<
s
xml:id
="
echoid-s277
"
xml:space
="
preserve
">dyameter ſectio m, ſ, quæ p, f, ſuperficiei autem
<
lb
/>
humidi ſectio ſitq́ue i, ſ, & </
s
>
<
s
xml:id
="
echoid-s278
"
xml:space
="
preserve
">ſi inclinata iacet portio non erit ſecundum
<
lb
/>
perpendicularem axis, non ergo faciet quæ p, f, angulos æquales ad i,s,
<
lb
/>
ducatur autem quædam quæ K, ***, æquediſtanter ipſi i, s, contingens ſe-
<
lb
/>
ctionem apol penes o, & </
s
>
<
s
xml:id
="
echoid-s279
"
xml:space
="
preserve
">ſolidæ quidem magnitudinis apol centrum
<
lb
/>
grauitatis ſit r, ipſius autem i, p, o, s, ſolidi centrum b, & </
s
>
<
s
xml:id
="
echoid-s280
"
xml:space
="
preserve
">eopulata, quæ
<
lb
/>
b, r, educatur, & </
s
>
<
s
xml:id
="
echoid-s281
"
xml:space
="
preserve
">centrum grauitatis reliquæ figuræ ſcilicet i, s, l, a, ſit g.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s282
"
xml:space
="
preserve
">Similiter demonſtrabitur angulus quidem qui ſubr, ***, K, acutus per-
<
lb
/>
pendicularis quæ a, b, r, t, r, ad K, o, producitur cadens inter K, & </
s
>
<
s
xml:id
="
echoid-s283
"
xml:space
="
preserve
">o, ſitq́
<
lb
/>
r, t. </
s
>
<
s
xml:id
="
echoid-s284
"
xml:space
="
preserve
">Si autem ab ipſis g, b, ducantur æquedistanter ipſir, t, quod quidem
<
lb
/>
in humido abſum ptum ferret ſurſum ſecundum productam per g. </
s
>
<
s
xml:id
="
echoid-s285
"
xml:space
="
preserve
">Quod
<
lb
/>
autem extra humidum ſecundum producta per b, feretur deorſum, & </
s
>
<
s
xml:id
="
echoid-s286
"
xml:space
="
preserve
">
<
lb
/>
non manet ſolidum. </
s
>
<
s
xml:id
="
echoid-s287
"
xml:space
="
preserve
">apol ſic ſe habens in humido, ſed quod quidem ſe-
<
lb
/>
cundum a, habcbit lationem ſurſum. </
s
>
<
s
xml:id
="
echoid-s288
"
xml:space
="
preserve
">Quod autem ſecundum l, deorſum
<
lb
/>
donec fiat, quæp, f, ſecundum perpendicularem.</
s
>
<
s
xml:id
="
echoid-s289
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>