Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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 - 241
>
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 - 241
>
page
|<
<
of 241
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
018/01/224.jpg
"
pagenum
="
210
"/>
ca inter eleuationes ſolidi ac depreſſiones a
<
lb
/>
<
arrow.to.target
n
="
note99
"/>
<
lb
/>
quæ analogia, præterquàm in vno caſu. </
s
>
<
s
>Non
<
lb
/>
quidem directa, quia, vt dicebam, KV ma
<
lb
/>
ior eſt quàm AH, ergo maior eſt Ratio KV
<
lb
/>
ad AG, quàm HA ad AG; atqui AG maior
<
lb
/>
eſt quàm KN, ergo maior eſt Ratio KV ad
<
lb
/>
KN quàm KV ad AG; ergò multò maior eſt
<
lb
/>
Ratio KV ad KN quàm HA ad AG. </
s
>
<
s
>Noņ
<
lb
/>
eſſe autem reciprocam analogiam ſic oſtendo. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note99
"/>
<
emph
type
="
italics
"/>
XCIX
<
lb
/>
Eleuationes
<
lb
/>
ſolidi, &
<
lb
/>
depreſſiones
<
lb
/>
humidi iņ
<
lb
/>
vaſis inæ
<
lb
/>
qualibus
<
expan
abbr
="
nõ
">non</
expan
>
<
lb
/>
ſunt propor
<
lb
/>
tionales, ni ſi
<
lb
/>
in vno caſu.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Aqua OMRS circumfuſa eſt æqualis moli
<
lb
/>
NL, hoc eſt VO; addatur vtrique commu
<
lb
/>
nis moles NO, erit tota moles duobus pla
<
lb
/>
nis KOM & NSR parallelis contenta æqualis
<
lb
/>
moli corporis KL ſeu VS. </
s
>
<
s
>Item aqua CDFE
<
lb
/>
circumfuſa æqualis eſt moli GB, hoc eſt HC;
<
lb
/>
& additâ communi mole AE, erit tota mo
<
lb
/>
les planis ACD & GEF parallelis contentą
<
lb
/>
æqualis moli corporis AB ſeu HE. </
s
>
<
s
>Atqui HE
<
lb
/>
& VS æquales ſunt moles ex hypotheſi; igi
<
lb
/>
tur & moles GD æqualis eſt moli NM: ergo
<
lb
/>
per 34. lib. 11. baſes cum altitudinibus re
<
lb
/>
ciprocantur, & vt AG ad KN, ita ſuperficies
<
lb
/>
vaſis maioris ad ſuperficiem vaſis minoris. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Prætereà aqua circumfuſa OMRS æqua
<
lb
/>
lis eſt moli VO, ergo ad molem KS habet
<
lb
/>
eandem Rationem quam VO ad KS, hoc eſt
<
lb
/>
quam altitudines KV ad KN. </
s
>
<
s
>At aqua cir
<
lb
/>
cumfuſa ad molem KS, quia in eâdem ſunt </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>