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
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
<
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
="
043/01/138.jpg
"
pagenum
="
51
"/>
lelogrammis circumſcribatur figuræ ABC, altera tertia fi
<
lb
/>
gura, quemadmodum diximus in præcedenti, cuius cen
<
lb
/>
trum grauitatis H, in linea GD cadat & ſit minor pro
<
lb
/>
portio reſidui huius tertiæ figuræ circumſcriptæ ipſi ABC,
<
lb
/>
ad figuram ABC, quàm FG ad GD. </
s
>
<
s
>Multo ergo mi
<
lb
/>
nor proportio erit dicti reſidui ad figuram ABC quam F
<
lb
/>
H ad HD, fiat igitur vt prædictum reſiduum ad figuram
<
lb
/>
ABC, ita ex contraria parte FH ad HDK; prædicti igi
<
lb
/>
tur reſidui centrum grauitatis erit K, extra ipſius terminos,
<
lb
/>
quod fieri non poteſt: Non igitur F centrum grauitatis fi
<
lb
/>
guræ ABC cadit in puncto E, nec ſupra; ergo infra pun
<
lb
/>
ctum E: & ponitur E centrum grauitatis cuiuslibet figuræ
<
lb
/>
ex cylindris, vel cylindri portionibus, vel parallelogrammis
<
lb
/>
æqualium altitudinum quo modo diximus ipſi ABC cir
<
lb
/>
cumſcriptæ. </
s
>
<
s
>Manifeſtum eſt igitur propoſitum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXXI.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omni prædictæ figuræ figura quædam ex cylin
<
lb
/>
dris, vel cylindri portionibus, vel parallelogram
<
lb
/>
mis æqualium altitudi
<
lb
/>
num circumſcribi po
<
lb
/>
teſt, cuius centri graui
<
lb
/>
tatis diſtantia à prædi
<
lb
/>
ctæ figuræ centro gra
<
lb
/>
uitatis ſit minor quan
<
lb
/>
tacunque longitudine
<
lb
/>
propoſita. </
s
>
</
p
>
<
figure
id
="
id.043.01.138.1.jpg
"
xlink:href
="
043/01/138/1.jpg
"
number
="
107
"/>
<
p
type
="
main
">
<
s
>Sit figura ABC in
<
expan
abbr
="
alterã
">alteram</
expan
>
<
lb
/>
partem
<
expan
abbr
="
deficiẽs
">deficiens</
expan
>
ſupradicta,
<
lb
/>
cuius centrum grauitatis F, propoſita autem
<
expan
abbr
="
quantacũque
">quantacumque</
expan
>
<
lb
/>
<
expan
abbr
="
lõgitudine
">longitudine</
expan
>
minor ſit FG ipſius BF. </
s
>
<
s
>Dico figuræ ABC figu-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>