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
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
<
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
="
043/01/244.jpg
"
pagenum
="
65
"/>
trum grauitatis eſt G, & F portionis ABC, & H reliqui
<
lb
/>
ex KL dempta ABC portione; erit vt portio ABC ad
<
lb
/>
prædictum reſiduum, ita ex contraria parte HG ad GF:
<
lb
/>
& componendo, vt ſolidum KL ad prædictum reſiduum,
<
lb
/>
ita HF ad FG: & per conuerſionem rationis, vt ſolidum
<
lb
/>
KL ad portionem ABC, ita FH ad HG: & conuerten
<
lb
/>
do, vt portio ABC ad ſolidum KL, ita GH ad HE:
<
lb
/>
ſed vt portio ABC ad ſolidum KL, ita eſt rectangulum
<
lb
/>
BDE vnà cum duabus tertiis quadrati BD ad quadra
<
lb
/>
tum EB; vt igitur rectangulum BDE, vnà cum duabus
<
lb
/>
tertiis quadrati BD, ad quadratum EB, ita erit GH ad
<
lb
/>
HF. </
s
>
<
s
>Quod demonftrandum erat. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXXIII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omnis portionis ſphæræ, vel ſphæroidis abſciſ
<
lb
/>
ſæ duobus planis parallelis, altero per centrum
<
lb
/>
acto, centrum grauitatis eſt in axe primum bifa
<
lb
/>
riam ſecto: deinde ſumpta eius quarta parte ad
<
lb
/>
minorem baſim; in eo puncto, in quo dimidius
<
lb
/>
axis maiorem baſim attingens ſic diuiditur, vt
<
lb
/>
pars axis prima, & ſecunda ſectione terminata,
<
lb
/>
ſit ad eam, quæ prima, & poſtrema ſectione ter
<
lb
/>
minatur, vt rectangulum contentum ſphæræ, vel
<
lb
/>
ſphæroidis axis axi portionis congruentis ijs ſeg
<
lb
/>
mentis, quæ fiunt à centro minoris baſis portio
<
lb
/>
nis, vnà cum duabus tertiis quadrati axis portio
<
lb
/>
nis; adſphæræ, vel ſphæroidis dimidij axis qua
<
lb
/>
dratum. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sit ſphæræ, vel ſphæroidis cuius centrum E portio </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>