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
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
61
25
62
63
26
64
65
27
66
67
22
68
69
29
70
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(44)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div182
"
type
="
section
"
level
="
1
"
n
="
56
">
<
p
>
<
s
xml:id
="
echoid-s2617
"
xml:space
="
preserve
">
<
pb
o
="
44
"
file
="
0099
"
n
="
99
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
gura: </
s
>
<
s
xml:id
="
echoid-s2618
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2619
"
xml:space
="
preserve
">alia eadem diſponantur demonſtrabimus rurſum
<
lb
/>
n t æqualem eſſe ipſi u i: </
s
>
<
s
xml:id
="
echoid-s2620
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2621
"
xml:space
="
preserve
">portiones a u q, a n z inter
<
lb
/>
ſe ſe æquales.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2622
"
xml:space
="
preserve
">
<
figure
xlink:label
="
fig-0099-01
"
xlink:href
="
fig-0099-01a
"
number
="
65
">
<
image
file
="
0099-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0099-01
"/>
</
figure
>
Itaque quoniã
<
lb
/>
ĩ portionibus
<
lb
/>
æqualibus, & </
s
>
<
s
xml:id
="
echoid-s2623
"
xml:space
="
preserve
">ſi
<
lb
/>
milibus a u q l,
<
lb
/>
a n z g ductæ
<
lb
/>
sũt a q, a z, por
<
lb
/>
tiones æqua-
<
lb
/>
les auferentes;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2624
"
xml:space
="
preserve
">cum diametris
<
lb
/>
portionum æ-
<
lb
/>
quales angu-
<
lb
/>
los cõtinebũt. </
s
>
<
s
xml:id
="
echoid-s2625
"
xml:space
="
preserve
">
<
lb
/>
ergo triangulo
<
lb
/>
rum n l s, u ω c
<
lb
/>
anguli, qui cõ-
<
lb
/>
ſiſtũt ad l ω pũ-
<
lb
/>
cta, æquales ſunt: </
s
>
<
s
xml:id
="
echoid-s2626
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2627
"
xml:space
="
preserve
">b s recta linea æqualis ipſi b c: </
s
>
<
s
xml:id
="
echoid-s2628
"
xml:space
="
preserve
">ſ r ipſi cr,
<
lb
/>
n χ ipſi u h: </
s
>
<
s
xml:id
="
echoid-s2629
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2630
"
xml:space
="
preserve
">χ tipſi h i. </
s
>
<
s
xml:id
="
echoid-s2631
"
xml:space
="
preserve
">quòd cum u y dupla ſit ipſius y i,
<
lb
/>
erit n χ maior, quàm dupla χ t. </
s
>
<
s
xml:id
="
echoid-s2632
"
xml:space
="
preserve
">Sit igitur n m ipſius m t du
<
lb
/>
pla. </
s
>
<
s
xml:id
="
echoid-s2633
"
xml:space
="
preserve
">Rurſus ex his manifeſtum eſt, non manere ipſam por-
<
lb
/>
tionem; </
s
>
<
s
xml:id
="
echoid-s2634
"
xml:space
="
preserve
">ſed inclinari ex parte a: </
s
>
<
s
xml:id
="
echoid-s2635
"
xml:space
="
preserve
">ponebatur autem portio
<
lb
/>
humidi ſuperficiem in uno puncto contingere. </
s
>
<
s
xml:id
="
echoid-s2636
"
xml:space
="
preserve
">ergo ne-
<
lb
/>
ceſſe eſt, ut eius baſis in humidum magis demergatur.</
s
>
<
s
xml:id
="
echoid-s2637
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div184
"
type
="
section
"
level
="
1
"
n
="
57
">
<
head
xml:id
="
echoid-head62
"
xml:space
="
preserve
">DEMONSTRATIO QVINT AE PARTIS.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2638
"
xml:space
="
preserve
">HABEAT denique portio ad humidum in grauitate
<
lb
/>
minorem proportionem, quàm quadratum f p ad quadra-
<
lb
/>
tum b d: </
s
>
<
s
xml:id
="
echoid-s2639
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2640
"
xml:space
="
preserve
">quam proportionem habet portio ad humidũ
<
lb
/>
in grauitate, eandem quadratum, quod fit à linea ψ habeat
<
lb
/>
ad quadratum b d. </
s
>
<
s
xml:id
="
echoid-s2641
"
xml:space
="
preserve
">erit χ minor ipſa p f. </
s
>
<
s
xml:id
="
echoid-s2642
"
xml:space
="
preserve
">Rurſus </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>