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
|<
<
(8)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div208
"
type
="
section
"
level
="
1
"
n
="
69
">
<
p
>
<
s
xml:id
="
echoid-s3250
"
xml:space
="
preserve
">
<
pb
o
="
8
"
file
="
0127
"
n
="
127
"
rhead
="
DE CENTRO GRAVIT. SOLID.
"/>
æquidiſtant autem c g o, m n p. </
s
>
<
s
xml:id
="
echoid-s3251
"
xml:space
="
preserve
">ergo parallelogrãma ſunt
<
lb
/>
o n, g m, & </
s
>
<
s
xml:id
="
echoid-s3252
"
xml:space
="
preserve
">linea m n æqualis c g; </
s
>
<
s
xml:id
="
echoid-s3253
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3254
"
xml:space
="
preserve
">n p ipſi g o. </
s
>
<
s
xml:id
="
echoid-s3255
"
xml:space
="
preserve
">aptatis igi-
<
lb
/>
tur
<
emph
style
="
sc
">K</
emph
>
l m, a b c triãgulis, quæ æqualia & </
s
>
<
s
xml:id
="
echoid-s3256
"
xml:space
="
preserve
">ſimilia sũt; </
s
>
<
s
xml:id
="
echoid-s3257
"
xml:space
="
preserve
">linea m p
<
lb
/>
in c o, & </
s
>
<
s
xml:id
="
echoid-s3258
"
xml:space
="
preserve
">punctum n in g cadet. </
s
>
<
s
xml:id
="
echoid-s3259
"
xml:space
="
preserve
">Quòd cũ g ſit centrum gra-
<
lb
/>
uitatis trianguli a b c, & </
s
>
<
s
xml:id
="
echoid-s3260
"
xml:space
="
preserve
">n trianguli
<
emph
style
="
sc
">K</
emph
>
l m grauitatis cen-
<
lb
/>
trum erit id, quod demonſtrandum relinquebatur. </
s
>
<
s
xml:id
="
echoid-s3261
"
xml:space
="
preserve
">Simili
<
lb
/>
ratione idem contingere demonſtrabimus in aliis priſma-
<
lb
/>
tibus, ſiue quadrilatera, ſiue plurilatera habeant plana,
<
lb
/>
quæ opponuntur.</
s
>
<
s
xml:id
="
echoid-s3262
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div211
"
type
="
section
"
level
="
1
"
n
="
70
">
<
head
xml:id
="
echoid-head77
"
xml:space
="
preserve
">COROLLARIVM.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3263
"
xml:space
="
preserve
">Exiam demonſtratis perſpicue apparet, cuius
<
lb
/>
Iibet priſmatis axem, parallelogrammorum lat eri
<
lb
/>
bus, quæ ab oppoſitis planis ducũtur æquidiſtare.</
s
>
<
s
xml:id
="
echoid-s3264
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div212
"
type
="
section
"
level
="
1
"
n
="
71
">
<
head
xml:id
="
echoid-head78
"
xml:space
="
preserve
">THEOREMA VI. PROPOSITIO VI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3265
"
xml:space
="
preserve
">Cuiuslibet priſmatis centrum grauitatis eſt in
<
lb
/>
plano, quod oppoſitis planis æquidiſtans, reli-
<
lb
/>
quorum planorum latera bifariam diuidit.</
s
>
<
s
xml:id
="
echoid-s3266
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3267
"
xml:space
="
preserve
">Sit priſma, in quo plana, quæ opponuntur ſint trian-
<
lb
/>
gula a c e, b d f: </
s
>
<
s
xml:id
="
echoid-s3268
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3269
"
xml:space
="
preserve
">parallelogrammorum latera a b, c d,
<
lb
/>
e f bifariam diuidãtur in punctis g h _K_: </
s
>
<
s
xml:id
="
echoid-s3270
"
xml:space
="
preserve
">per diuiſiones au-
<
lb
/>
tem planum ducatur; </
s
>
<
s
xml:id
="
echoid-s3271
"
xml:space
="
preserve
">cuius ſectio figura g h _K_. </
s
>
<
s
xml:id
="
echoid-s3272
"
xml:space
="
preserve
">eritlinea
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0127-01
"
xlink:href
="
note-0127-01a
"
xml:space
="
preserve
">33. primi</
note
>
g h æquidiſtans lineis a c, b d & </
s
>
<
s
xml:id
="
echoid-s3273
"
xml:space
="
preserve
">h k ipſis c e, d f. </
s
>
<
s
xml:id
="
echoid-s3274
"
xml:space
="
preserve
">quare ex
<
lb
/>
decimaquinta undecimi elementorum, planum illud pla
<
lb
/>
nis a c e, b d f æquidiſtabit, & </
s
>
<
s
xml:id
="
echoid-s3275
"
xml:space
="
preserve
">ſaciet ſectionem figu-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0127-02
"
xlink:href
="
note-0127-02a
"
xml:space
="
preserve
">5. huius</
note
>
ram ipſis æqualem, & </
s
>
<
s
xml:id
="
echoid-s3276
"
xml:space
="
preserve
">ſimilem, ut proxime demonſtra-
<
lb
/>
uimus. </
s
>
<
s
xml:id
="
echoid-s3277
"
xml:space
="
preserve
">Dico centrum grauitatis priſmatis eſſe in plano
<
lb
/>
g h
<
emph
style
="
sc
">K</
emph
>
. </
s
>
<
s
xml:id
="
echoid-s3278
"
xml:space
="
preserve
">Si enim fieri poteſt, ſit eius centrum l: </
s
>
<
s
xml:id
="
echoid-s3279
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3280
"
xml:space
="
preserve
">ducatur
<
lb
/>
l m uſque ad planum g h
<
emph
style
="
sc
">K</
emph
>
, quæ ipſi a b æquidiſtet.</
s
>
<
s
xml:id
="
echoid-s3281
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>