Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 234
>
[Figure 221]
Page: 452
[Figure 222]
Page: 454
[Figure 223]
Page: 461
[Figure 224]
Page: 462
[Figure 225]
Page: 467
[Figure 226]
Page: 468
[Figure 227]
Page: 474
[Figure 228]
Page: 476
[Figure 229]
Page: 476
[Figure 230]
Page: 478
[Figure 231]
Page: 480
[Figure 232]
Page: 482
[Figure 233]
Page: 484
[Figure 234]
Page: 495
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 234
>
page
|<
<
of 524
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
subchap2
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
039/01/293.jpg
"
pagenum
="
265
"/>
Prop. </
s
>
<
s
>XIX, quod non mutabunt ſitum partium internarum inter
<
lb
/>
<
arrow.to.target
n
="
note241
"/>
ſe: proindeque, ſi Animalia immergantur, & ſenſatio omnis a mo
<
lb
/>
tu partium oriatur; nec lædent corpora immerſa, nec ſenſatio
<
lb
/>
nem ullam excitabunt, niſi quatenus hæc corpora a compreſſione
<
lb
/>
condenſari poſſunt. </
s
>
<
s
>Et par eſt ratio cujuſcunque corporum Sy
<
lb
/>
ſtematis fluido comprimente circundati. </
s
>
<
s
>Syſtematis partes omnes
<
lb
/>
iiſdem agitabuntur motibus, ac ſi in vacuo conſtituerentur, ac ſo
<
lb
/>
lam retinerent gravitatem ſuam comparativam, niſi quatenus flui
<
lb
/>
dum vel motibus earum nonnihil reſiſtat, vel ad eaſdem compreſſi
<
lb
/>
one conglutinandas requiratur. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note241
"/>
LIBER
<
lb
/>
SECUNDUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXI. THEOREMA XVI.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Sit Fluidi cujuſdam denſitas compreſſioni proportionalis, & partes
<
lb
/>
ejus a vi centripeta diſtantiis ſuis a centro reciproce proportio
<
lb
/>
nali deorſum trabantur: dico quod, fi diſtantiæ illæ ſumantur
<
lb
/>
continue proportionales, denſitates Fluidi in iiſdem diſtantiis e
<
lb
/>
runt etiam continue proportionales.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Deſignet
<
emph
type
="
italics
"/>
ATV
<
emph.end
type
="
italics
"/>
fundum Sphæricum cui fluidum incumbit,
<
emph
type
="
italics
"/>
S
<
emph.end
type
="
italics
"/>
<
lb
/>
centrum,
<
emph
type
="
italics
"/>
SA, SB, SC, SD, SE,
<
emph.end
type
="
italics
"/>
&c. </
s
>
<
s
>diſtantias continue propor
<
lb
/>
tionales. </
s
>
<
s
>Erigantur perpendicula
<
emph
type
="
italics
"/>
AH, BI, CK, DL, EM, &c.
<
emph.end
type
="
italics
"/>
<
lb
/>
quæ ſint ut denſitates Medii in locis
<
emph
type
="
italics
"/>
A, B, C, D, E
<
emph.end
type
="
italics
"/>
; & ſpecificæ
<
lb
/>
gravitates in iiſdem locis erunt ut
<
emph
type
="
italics
"/>
(AH/AS), (BI/BS), (CK/CS),
<
emph.end
type
="
italics
"/>
&c. </
s
>
<
s
>vel, quod
<
lb
/>
perinde eſt, ut
<
emph
type
="
italics
"/>
(AH/AB), (BI/BC), (CK/CD),
<
emph.end
type
="
italics
"/>
&c. </
s
>
<
s
>Finge pri
<
lb
/>
<
figure
id
="
id.039.01.293.1.jpg
"
xlink:href
="
039/01/293/1.jpg
"
number
="
170
"/>
<
lb
/>
mum has gravitates uniformiter continuari ab
<
lb
/>
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
B,
<
emph.end
type
="
italics
"/>
a
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
C,
<
emph.end
type
="
italics
"/>
a
<
emph
type
="
italics
"/>
C
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
D,
<
emph.end
type
="
italics
"/>
&c. </
s
>
<
s
>factis per
<
lb
/>
gradus decrementis in punctis
<
emph
type
="
italics
"/>
B, C, D,
<
emph.end
type
="
italics
"/>
&c. </
s
>
<
s
>Et
<
lb
/>
hæ gravitates ductæ in altitudines
<
emph
type
="
italics
"/>
AB, BC,
<
lb
/>
CD,
<
emph.end
type
="
italics
"/>
&c. </
s
>
<
s
>conficient preſſiones
<
emph
type
="
italics
"/>
AH, BI, CK,
<
emph.end
type
="
italics
"/>
<
lb
/>
quibus fundum
<
emph
type
="
italics
"/>
ATV
<
emph.end
type
="
italics
"/>
(juxta Theorema XV.)
<
lb
/>
urgetur. </
s
>
<
s
>Suſtinet ergo particula
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
preſſiones
<
lb
/>
omnes
<
emph
type
="
italics
"/>
AH, BI, CK, DL,
<
emph.end
type
="
italics
"/>
pergendo in
<
lb
/>
infinitum; & particula
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
preſſiones omnes
<
lb
/>
præter primam
<
emph
type
="
italics
"/>
AH
<
emph.end
type
="
italics
"/>
; & particula
<
emph
type
="
italics
"/>
C
<
emph.end
type
="
italics
"/>
omnes
<
lb
/>
præter duas primas
<
emph
type
="
italics
"/>
AH, BI
<
emph.end
type
="
italics
"/>
; & ſic deinceps: adeoque parti
<
lb
/>
culæ primæ
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
denſitas
<
emph
type
="
italics
"/>
AH
<
emph.end
type
="
italics
"/>
eſt ad particulæ ſecundæ
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
denſi-</
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>