Archimedes
,
Archimedis De insidentibvs aqvae
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Handwritten
Figures
Content
Thumbnails
Table of figures
<
1 - 30
31 - 38
>
[Figure 21]
Page: 25
[Figure 22]
Page: 26
[Figure 23]
Page: 28
[Figure 24]
Page: 29
[Figure 25]
Page: 31
[Figure 26]
Page: 33
[Figure 27]
Page: 34
[Figure 28]
Page: 35
[Figure 29]
Page: 37
[Figure 30]
Page: 38
[Figure 31]
Page: 39
[Figure 32]
Page: 40
[Figure 33]
Page: 42
[Figure 34]
Page: 44
[Figure 35]
Page: 45
[Figure 36]
Page: 46
[Figure 37]
Page: 46
[Figure 38]
Page: 46
<
1 - 30
31 - 38
>
page
|<
<
(5)
of 51
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div29
"
type
="
section
"
level
="
1
"
n
="
22
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s319
"
xml:space
="
preserve
">
<
pb
o
="
5
"
file
="
0025
"
n
="
25
"
rhead
="
LIBER II.
"/>
litercunque productis planis abſcindantur portiones adinuicem eandens
<
lb
/>
habebunt proportionem quam tetragona quæ ab axibus ipſorum</
s
>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s320
"
xml:space
="
preserve
">non minorem ergo proportionem: </
s
>
<
s
xml:id
="
echoid-s321
"
xml:space
="
preserve
">habet tetragonum quòd a, p, f,
<
lb
/>
ad tetragonum quod a, b, n, o, quam tetragonum quòd ab m, o, ad tetra-
<
lb
/>
gonum quod ab n, o, quare quæ p, f, non _est_ minor quàm m, o, neque quæ
<
lb
/>
b, p, quàm n, o. </
s
>
<
s
xml:id
="
echoid-s322
"
xml:space
="
preserve
">Si igitur ab m, ipſi n, o, recta ducatur, cadent intrab, & </
s
>
<
s
xml:id
="
echoid-s323
"
xml:space
="
preserve
">p.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s324
"
xml:space
="
preserve
">Quoniam igitur quæ quidem p, f, eſt æquediſtanter dyametro quæ au-
<
lb
/>
tem m, t, eſt perpendicularis ad dyametrum, & </
s
>
<
s
xml:id
="
echoid-s325
"
xml:space
="
preserve
">quæ r, m, æqualis ei quæ
<
lb
/>
uſque ad axem a, b, r, ad t, copulata, & </
s
>
<
s
xml:id
="
echoid-s326
"
xml:space
="
preserve
">educta facit angulos rectos ad
<
lb
/>
contingentem ſecundum p. </
s
>
<
s
xml:id
="
echoid-s327
"
xml:space
="
preserve
">Quare & </
s
>
<
s
xml:id
="
echoid-s328
"
xml:space
="
preserve
">ad i, s. </
s
>
<
s
xml:id
="
echoid-s329
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s330
"
xml:space
="
preserve
">ad eam quæper i, s. </
s
>
<
s
xml:id
="
echoid-s331
"
xml:space
="
preserve
">ſu-
<
lb
/>
perficiem humidi faciet æquales angulos, ſi autem per b, g, ipſi r, t, æque-
<
lb
/>
diſtantes ducantur anguli recti erunt facti ad, ſuperficiem humidi, & </
s
>
<
s
xml:id
="
echoid-s332
"
xml:space
="
preserve
">
<
lb
/>
quod quidem in humido aſſumitur ſolidum conoydalis ſurſum fertur ſe-
<
lb
/>
cundum ea, quæ per b, æquediſtantem ipſir, t, quod autem extra humi-
<
lb
/>
dum aſſumpta deorſum fertur in humidum ſecundum productam per g,
<
lb
/>
æquediſtantem ipſir, t, & </
s
>
<
s
xml:id
="
echoid-s333
"
xml:space
="
preserve
">per totum idem erit, donec utique conoydale
<
lb
/>
rectum reſti tuatur.</
s
>
<
s
xml:id
="
echoid-s334
"
xml:space
="
preserve
"/>
</
p
>
<
figure
number
="
21
">
<
image
file
="
0025-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0025-01
"/>
</
figure
>
</
div
>
<
div
xml:id
="
echoid-div30
"
type
="
section
"
level
="
1
"
n
="
23
">
<
head
xml:id
="
echoid-head33
"
xml:space
="
preserve
">QVINTVS.</
head
>
<
p
>
<
s
xml:id
="
echoid-s335
"
xml:space
="
preserve
">Recta portio rectanguli conoydalis quando leuior exi-
<
lb
/>
ſtens humido habuerit axem maiorem, quàm emyolium e-
<
lb
/>
iusq́ue uſque ad axem ſi ad humidum in grauitate non ma-
<
lb
/>
iorem proportionem habeat illa, quam habet exceſſus, quo
<
lb
/>
maius eſt tetragonam quod ab axe tetragono quod ab ex-
<
lb
/>
ceſſu quo axis eſt maior, quàm emyolius eius, quæ uſque ad
<
lb
/>
axem ad tetragonum quod ab axe dimiſſa in humidum </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>