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
141
15
142
143
15
144
16
145
17
146
147
18
148
149
19
150
151
20
152
153
21
154
155
22
156
157
23
158
159
24
160
161
25
162
163
26
164
165
27
166
167
28
168
169
29
170
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(17)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div224
"
type
="
section
"
level
="
1
"
n
="
74
">
<
pb
o
="
17
"
file
="
0145
"
n
="
145
"
rhead
="
DE CENTRO GRAVIT. SOLID.
"/>
</
div
>
<
div
xml:id
="
echoid-div226
"
type
="
section
"
level
="
1
"
n
="
75
">
<
head
xml:id
="
echoid-head82
"
xml:space
="
preserve
">PROBLEMA I. PROPOSITIO X.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3677
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Data</
emph
>
qualibet pyramide, fieri poteſt, ut fi-
<
lb
/>
gura ſolida in ipſa in ſcribatur, & </
s
>
<
s
xml:id
="
echoid-s3678
"
xml:space
="
preserve
">altera circũſcri-
<
lb
/>
batur ex priſmatibus æqualem aItitudinem ha-
<
lb
/>
bẽtibus, ita ut cir cumſcripta inſcriptam excedat
<
lb
/>
magnitudine, quæ minor ſit quacũque ſolida ma
<
lb
/>
gnitudine propoſita.</
s
>
<
s
xml:id
="
echoid-s3679
"
xml:space
="
preserve
"/>
</
p
>
<
figure
number
="
99
">
<
image
file
="
0145-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0145-01
"/>
</
figure
>
<
p
>
<
s
xml:id
="
echoid-s3680
"
xml:space
="
preserve
">Sit pyramis, cuius baſis
<
lb
/>
triangulũ a b c; </
s
>
<
s
xml:id
="
echoid-s3681
"
xml:space
="
preserve
">axis d e.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3682
"
xml:space
="
preserve
">Sitq; </
s
>
<
s
xml:id
="
echoid-s3683
"
xml:space
="
preserve
">priſma, quod eandẽ
<
lb
/>
baſim habeat, & </
s
>
<
s
xml:id
="
echoid-s3684
"
xml:space
="
preserve
">axem eun
<
lb
/>
dem. </
s
>
<
s
xml:id
="
echoid-s3685
"
xml:space
="
preserve
">Itaque hoc priſma-
<
lb
/>
te continenter ſecto bifa-
<
lb
/>
riam, plano baſi æquidiftã
<
lb
/>
te, relinquetur tãdem priſ
<
lb
/>
ma quoddam minus pro-
<
lb
/>
poſita magnitudine: </
s
>
<
s
xml:id
="
echoid-s3686
"
xml:space
="
preserve
">quod
<
lb
/>
quidem baſim eandem ha
<
lb
/>
beat, quam pyramis, & </
s
>
<
s
xml:id
="
echoid-s3687
"
xml:space
="
preserve
">a-
<
lb
/>
xem e f. </
s
>
<
s
xml:id
="
echoid-s3688
"
xml:space
="
preserve
">diuidatur d e in
<
lb
/>
partes æquales ipſi e f in
<
lb
/>
punctis g h k l m n: </
s
>
<
s
xml:id
="
echoid-s3689
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3690
"
xml:space
="
preserve
">per
<
lb
/>
diuiſiones plana ducãtur: </
s
>
<
s
xml:id
="
echoid-s3691
"
xml:space
="
preserve
">
<
lb
/>
quæ baſibus æquidiſtent,
<
lb
/>
erunt ſectiones, triangula
<
lb
/>
ipſi a b c ſimilia, ut proxi-
<
lb
/>
me oſtendimus. </
s
>
<
s
xml:id
="
echoid-s3692
"
xml:space
="
preserve
">ab uno
<
lb
/>
quoque autẽ horum trian
<
lb
/>
gulorum duo priſmata cõ
<
lb
/>
ſtruantur; </
s
>
<
s
xml:id
="
echoid-s3693
"
xml:space
="
preserve
">unum quidem
<
lb
/>
ad partes e; </
s
>
<
s
xml:id
="
echoid-s3694
"
xml:space
="
preserve
">alterum </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>