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
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
<
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
>
<
pb
xlink:href
="
043/01/152.jpg
"
pagenum
="
65
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
LEMMA.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Sit data recta PO, & in ea punctum D, & punctum quod
<
lb
/>
dam R in ipſa DO, ita vt VD ipſius PD, ad DT ipſius DO,
<
lb
/>
ſit vt PD, ad DO: ſit autem maior proportio PS ad SO, quàm
<
lb
/>
VR, ad RT. </
s
>
<
s
>Dico OS, minorem eſſe quàm OR.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Fiat enim vt PS, ad SO, ita VZ ad ZT; ma
<
lb
/>
ìor igitur erit proportio VZ, ad ZT, quàm VR, ad
<
lb
/>
RT: & componendo maior proportio VT, ad TZ,
<
lb
/>
<
figure
id
="
id.043.01.152.1.jpg
"
xlink:href
="
043/01/152/1.jpg
"
number
="
116
"/>
<
lb
/>
quàm VT, ad TR; minor igitur TZ, quàm TR, ideſt
<
lb
/>
maior DZ, quàm DR. </
s
>
<
s
>Rurſus quia componendo eſt
<
lb
/>
vt PO ad OS, ita VT ad TZ: ſed vt DO ad OP, ita
<
lb
/>
eſt DT ad TV; erit ex æquali, vt DO ad OS, ita DT,
<
lb
/>
ad TZ; & per conuerſionem rationis, vt OD ad DS,
<
lb
/>
ita TD ad DZ: & permutando, vt DO ad DT, ita DS
<
lb
/>
ad DZ: ſed DO, eſt maior quàm DT, ergo & DS, erit
<
lb
/>
maior quàm DZ: ſed DZ maior erat quàm DR; multo
<
lb
/>
ergo DS maior quàm DR, vnde minor erit OS quàm
<
lb
/>
OR. </
s
>
<
s
>Quod demonſtrandum erat. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXXVII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Si datæ maiori ſphæræ portioni cylindrus cir
<
lb
/>
cumſcribatur circa eundem axim portionis, cen
<
lb
/>
trum grauitatis reliquæ figuræ ex cylindro cir
<
lb
/>
cumſcripto ablata portione, propinquius erit ver
<
lb
/>
tici portionis, quàm
<
expan
abbr
="
cẽtrum
">centrum</
expan
>
grauitatis portionis. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>