Valerio, Luca
,
De centro gravitatis solidorum
,
1604
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 283
>
Scan
Original
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
043/01/209.jpg
"
pagenum
="
30
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XVII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omnis portio ſphæræ, vel ſphæroidis abſciſſa
<
lb
/>
duobus planis parallelis, alteroper centrum du
<
lb
/>
cto, ad cy lindrum, vel cylindri portionem, cuius
<
lb
/>
baſis eſt eadem, quæ maior baſis portionis, &
<
expan
abbr
="
eadẽ
">eadem</
expan
>
<
lb
/>
altitudo; eam habet proportionem, quam rectan
<
lb
/>
gulum contentum ijs, quæ à centro minoris baſis
<
lb
/>
fiunt axis ſphæræ, vel ſphæroidis ſegmentis, vnà
<
lb
/>
cum duabus tertiis quadrati axis portionis; ad
<
lb
/>
ſphæræ, vel ſphæroidis dimidij axis quadratum. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sit portio NACO ſphæræ, vel ſphærodij, cuius cen
<
lb
/>
trum D, axis autem axi portionis congruens BEDR,
<
lb
/>
abſciſsa duobus planis parallelis altero per centrum D, ſe
<
lb
/>
ctionem faciente circulum
<
lb
/>
maximum, vel ellipſim,
<
lb
/>
cuius diameter NO, & ſu
<
lb
/>
per dictam ſectionem, cir
<
lb
/>
ca axem ED, ſtet cylin
<
lb
/>
drus, vel portio cylindrica
<
lb
/>
NM, abſciſsa ijſdem pla
<
lb
/>
nis, quibus portio NAC
<
lb
/>
O, à cylindro, vel portio
<
lb
/>
ne cylindrica NG, ſit cir
<
lb
/>
cumſcripta hemiſphærio,
<
lb
/>
vel hemiſphæroidi NBO:
<
lb
/>
qua ratione erit cylindri,
<
lb
/>
<
figure
id
="
id.043.01.209.1.jpg
"
xlink:href
="
043/01/209/1.jpg
"
number
="
155
"/>
<
lb
/>
vel portionis cylindricæ NM baſis eadem, quæ maior
<
lb
/>
baſis portionis NACO, circulus ſcilicet, vel ellipſis cir
<
lb
/>
ca NO, & eadem altitudo portioni. </
s
>
<
s
>Dico portionem </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>