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
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
<
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
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/198.jpg
"
pagenum
="
19
"/>
planum per BE ſecans ſphæram, vel ſphæroides faciat ſe
<
lb
/>
ctionem circulum, vel ellipſim, & in ea parallelas LFM,
<
lb
/>
NGO, communes ſectiones iam factæ ſectionis ſphæræ
<
lb
/>
vel ſphæroidis cum circulis, vel ellipſibus inter ſe paral
<
lb
/>
lelis quarum diametri ſunt AC, KH. </
s
>
<
s
>Quoniam igitur
<
lb
/>
E eſt centrum ſphæræ, vel ſphæroidis; omnes in eo per
<
lb
/>
punctum E, tranſeuntes rectæ lineæ bifariam ſecabuntur:
<
lb
/>
ſed idem E eſt in ſectione ſphæræ, vel ſphæroidis, circu
<
lb
/>
lo, vel ellipſe ABCD; omnes igitur in ipſa rectas lineas
<
lb
/>
bifariam ſecabit punctum E, & centrum erit circuli,
<
lb
/>
vel ellipſis ABCD: quædam igitur ex centro recta EB
<
lb
/>
ſecans parallelarum neutrius per centrum ductæ alteram
<
lb
/>
AC bifariam in circuli, vel ellipſis ALCM centro F,
<
lb
/>
& reliquam in puncto G bifariam ſecabit. </
s
>
<
s
>Similiter
<
lb
/>
oſtenderemus rectam NO ſectam eſse bifariam in pun
<
lb
/>
cto G: atque adeo circuli, vel ellipſis KNHO centrum
<
lb
/>
eſſe G. </
s
>
<
s
>Recta igitur E, tranſiens per centrum ſectionis
<
lb
/>
ALCM, tranſibit per centrum reliquæ KNHO ipſi
<
lb
/>
ALCM parallelæ. </
s
>
<
s
>Quod demonſtrandum erat. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIVM.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Hinc manifeſtum eſt, ſi ſphæra, vel ſphæroides
<
lb
/>
ſecetur plano non per centrum: & recta linea ſphæ
<
lb
/>
ræ, vel ſphæroidis, & factæ ſectionis centra iun
<
lb
/>
gens ad ſuperficiem vtrinque producatur; talis
<
lb
/>
axis ſegmenta eſſe
<
gap
/>
portionum, earumque
<
lb
/>
vertices extrema dicti axis, vt in figura theorema
<
lb
/>
tis ſunt puncta B, D. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>