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
>
231
232
233
234
235
236
237
238
239
240
<
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
="
043/01/228.jpg
"
pagenum
="
49
"/>
quàm GE, ad EH; maior igitur proportio eſt GO ad
<
lb
/>
OH, quàm GE ad EH: & componendo, maior pro
<
lb
/>
portio GH ad HO, quàm eiuſdem GH ad HE; mi
<
lb
/>
nor igitur OH erit quàm EH, & punctum O propin
<
lb
/>
quius puncto D quàm punctum E; verum quoniam ex
<
lb
/>
ijs, quæ in præcedenti libro demonſtrauimus, propoſitæ
<
lb
/>
figuræ ſolidæ ABC centrum grauitatis eſt puncto D
<
lb
/>
propinquius, quàm cuiuslibet figuræ ex cylindris, vel cy
<
lb
/>
lindri portionibus æqualium altitudinum ipſi circumſcri
<
lb
/>
ptæ, erit punctum F propinquius puncto D quàm pun
<
lb
/>
ctum O; multo igitur puncto D erit propinquius pun
<
lb
/>
ctum F quàm punctum E; ergo infra punctum E, & in
<
lb
/>
linea ED cadet ſolidi ABC centrum grauitatis F.
<
lb
/>
</
s
>
<
s
>Quod demonſtrandum erat. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXV.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omnis fruſti coni, vel portionis conicæ cen
<
lb
/>
trum grauitatis eſt punctum illud, in quo eius
<
lb
/>
axis ſic diuiditur, vt pars quæ minorem baſim at
<
lb
/>
tingit aſſumens quartam partem axis ablati coni,
<
lb
/>
vel portionis conicæ, ſit ad eam, quæ inter poſtre
<
lb
/>
mam ſectionem, & quartæ partis abſciſſ<17> ad baſim
<
lb
/>
axis totius coni terminum interijcitur, vt cubus,
<
lb
/>
qui fit ab axe totius, ad cubum qui fit ab axe abla
<
lb
/>
ti coni. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sit coni, vel portionis conicæ ABC fruſtum BDEC,
<
lb
/>
cuius axis FG: conus autem, vel coni portio ablata AD
<
lb
/>
E: ſint centra grauitatis H ſolidi ABC, & K ſolidi
<
lb
/>
ADE, & L fruſti DC: quæ centra præterquam quod </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>