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
171
30
172
173
31
174
175
32
176
177
33
178
179
34
180
181
35
182
183
36
184
185
37
186
187
38
188
189
39
190
191
40
192
193
41
194
195
42
196
197
43
198
199
44
200
<
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
>