Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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
>
251
252
253
254
255
256
257
258
259
260
<
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
="
043/01/244.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
>