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
|<
<
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div286
"
type
="
section
"
level
="
1
"
n
="
96
">
<
p
>
<
s
xml:id
="
echoid-s5103
"
xml:space
="
preserve
">
<
pb
file
="
0204
"
n
="
204
"
rhead
="
FED. COMMANDINI
"/>
ioris baſis ad quadratum minoris: </
s
>
<
s
xml:id
="
echoid-s5104
"
xml:space
="
preserve
">centrum ſit in
<
lb
/>
eo axis puncto, quo ita diuiditur ut pars, quæ mi
<
lb
/>
norem baſim attingit ad alteram partem eandem
<
lb
/>
proportionem habeat, quam dempto quadrato
<
lb
/>
minoris baſis à duabus tertiis quadrati maioris,
<
lb
/>
habet id, quod reliquum eſt unà cum portione à
<
lb
/>
tertia quadrati maioris parte dempta, ad reliquà
<
lb
/>
eiuſdem tertiæ portionem.</
s
>
<
s
xml:id
="
echoid-s5105
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5106
"
xml:space
="
preserve
">SIT fruſtum à portione rectanguli conoidis abſciſſum
<
lb
/>
a b c d, cuius maior baſis circulus, uel ellipſis circa diame-
<
lb
/>
trum b c, minor circa diametrum a d; </
s
>
<
s
xml:id
="
echoid-s5107
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5108
"
xml:space
="
preserve
">axis e f. </
s
>
<
s
xml:id
="
echoid-s5109
"
xml:space
="
preserve
">deſcriba-
<
lb
/>
tur autem portio conoidis, à quo illud abſciſſum eſt, & </
s
>
<
s
xml:id
="
echoid-s5110
"
xml:space
="
preserve
">pla-
<
lb
/>
<
figure
xlink:label
="
fig-0204-01
"
xlink:href
="
fig-0204-01a
"
number
="
150
">
<
image
file
="
0204-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0204-01
"/>
</
figure
>
no per axem ducto ſecetur; </
s
>
<
s
xml:id
="
echoid-s5111
"
xml:space
="
preserve
">ut ſuperficiei ſectio ſit parabo-
<
lb
/>
le b g c, cuius diameter, & </
s
>
<
s
xml:id
="
echoid-s5112
"
xml:space
="
preserve
">axis portionis g f: </
s
>
<
s
xml:id
="
echoid-s5113
"
xml:space
="
preserve
">deinde g f diui
<
lb
/>
datur in puncto h, ita ut g h ſit dupla h f: </
s
>
<
s
xml:id
="
echoid-s5114
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5115
"
xml:space
="
preserve
">rurſus g e in ean
<
lb
/>
dem proportionem diuidatur: </
s
>
<
s
xml:id
="
echoid-s5116
"
xml:space
="
preserve
">ſitq; </
s
>
<
s
xml:id
="
echoid-s5117
"
xml:space
="
preserve
">g _k_ ipſius k e dupla. </
s
>
<
s
xml:id
="
echoid-s5118
"
xml:space
="
preserve
">Iã
<
lb
/>
ex iis, quæ proxime demonſtrauimus, conſtat centrum gra
<
lb
/>
uitatis portionis b g c eſſe h punctum: </
s
>
<
s
xml:id
="
echoid-s5119
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5120
"
xml:space
="
preserve
">portionis a g c
<
lb
/>
punctum k. </
s
>
<
s
xml:id
="
echoid-s5121
"
xml:space
="
preserve
">ſumpto igitur infra h punctol, ita ut k h ad h </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>