Valerio, Luca
,
De centro gravitatis solidorvm libri tres
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 283
>
101
102
103
104
105
106
107
108
109
110
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/107.jpg
"
pagenum
="
20
"/>
cylindri AE ſubſeſquialterum: coni igitur ABC duplum.
<
lb
/>
</
s
>
<
s
>Manifeſtum eſt igitur propoſitum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XIII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omnis minor ſphæræ portio, ad cylindrum,
<
lb
/>
cuius baſis æqualis eſt circulo maximo, altitudo
<
lb
/>
autem eadem portioni, eam habet proportionem,
<
lb
/>
quam exceſſus, quo tripla ſemidiametri ſphæræ
<
lb
/>
excedit tres deinceps proportionales, quarum ma
<
lb
/>
xima eſt ſphæræ ſemidiameter, media vero quæ
<
lb
/>
inter centra ſphæræ & baſis portionis interijci
<
lb
/>
tur; ad ſemidiametri ſphæræ triplam. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sit ſphæræ, cuius centrum D, ſemidiameter BD, mi
<
lb
/>
nor portio ABC, cuius axis BG ſegmentum ſemidiame
<
lb
/>
tri BD, baſis autem circulus, cuius diameter AC. </
s
>
<
s
>Sitque
<
lb
/>
EF, cylindrus, cu
<
lb
/>
ius axis, ſiue alti
<
lb
/>
tudo eadem BG:
<
lb
/>
baſis autem æqua
<
lb
/>
lis circulo maxi
<
lb
/>
mo, cuius ſemidia
<
lb
/>
meter BD. </
s
>
<
s
>Dico
<
lb
/>
portionem ABC,
<
lb
/>
ad cylindrum EF
<
lb
/>
eam habere pro
<
lb
/>
<
figure
id
="
id.043.01.107.1.jpg
"
xlink:href
="
043/01/107/1.jpg
"
number
="
79
"/>
<
lb
/>
portionem, quam exceſſus, quo tripla ipſius BD, ſupe
<
lb
/>
rat tres BD, DG; & minorem extremam ad ipſas, quæ
<
lb
/>
ſit M; ad ipſius BD triplam. </
s
>
<
s
>vertice enim D, baſi cylin
<
lb
/>
dri EF, cuius diameter FH deſcribatur conus FDH, cu
<
lb
/>
ius intelligatur fruſtum FHKL abſciſsum plano, quod ab-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>