Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 524
>
Scan
Original
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 524
>
page
|<
<
of 524
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
subchap2
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
039/01/223.jpg
"
pagenum
="
195
"/>
& erit
<
emph
type
="
italics
"/>
G
<
emph.end
type
="
italics
"/>
commune centrum gravitatis particularum
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
B.
<
emph.end
type
="
italics
"/>
Vis
<
lb
/>
<
arrow.to.target
n
="
note171
"/>
<
emph
type
="
italics
"/>
AXAZ
<
emph.end
type
="
italics
"/>
(per Legum Corol.2.) reſolvitur in vires
<
emph
type
="
italics
"/>
AXGZ
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
AXAG
<
emph.end
type
="
italics
"/>
<
lb
/>
& vis
<
emph
type
="
italics
"/>
BXBZ
<
emph.end
type
="
italics
"/>
in vires
<
emph
type
="
italics
"/>
BXGZ
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
BXBG.
<
emph.end
type
="
italics
"/>
Vires autem
<
emph
type
="
italics
"/>
AXAG
<
emph.end
type
="
italics
"/>
<
lb
/>
&
<
emph
type
="
italics
"/>
BXBG,
<
emph.end
type
="
italics
"/>
ob proportionales
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
BG
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
AG,
<
emph.end
type
="
italics
"/>
æquantur;
<
lb
/>
adeoque cum dirigantur in partes contrarias, ſe mutuo deſtruunt. </
s
>
<
s
>
<
lb
/>
Reſtant vires
<
emph
type
="
italics
"/>
AXGZ
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
BXGZ.
<
emph.end
type
="
italics
"/>
Tendunt hæ ab Z verſus cen
<
lb
/>
trum
<
emph
type
="
italics
"/>
G,
<
emph.end
type
="
italics
"/>
& vim —
<
emph
type
="
italics
"/>
A+BXGZ
<
emph.end
type
="
italics
"/>
componunt; hoc eſt, vim eandem ac
<
lb
/>
ſi particulæ attractivæ
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
conſiſterent in eorum communi gra
<
lb
/>
vitatis centro
<
emph
type
="
italics
"/>
G,
<
emph.end
type
="
italics
"/>
Globum ibi componentes. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note171
"/>
LIBER
<
lb
/>
PRIMUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Eodem argumento, ſi adjungatur particula tertia
<
emph
type
="
italics
"/>
C,
<
emph.end
type
="
italics
"/>
& compo
<
lb
/>
natur hujus vis cum vi —
<
emph
type
="
italics
"/>
A+BXGZ
<
emph.end
type
="
italics
"/>
tendente ad centrum
<
emph
type
="
italics
"/>
G
<
emph.end
type
="
italics
"/>
; vis
<
lb
/>
inde oriunda tendet ad commune centrum gravitatis Globi illius
<
emph
type
="
italics
"/>
G
<
emph.end
type
="
italics
"/>
<
lb
/>
& particulæ
<
emph
type
="
italics
"/>
C
<
emph.end
type
="
italics
"/>
; hoc eſt, ad commune centrum gravitatis trium par
<
lb
/>
ticularum
<
emph
type
="
italics
"/>
A, B, C
<
emph.end
type
="
italics
"/>
; & eadem erit ac ſi Globus & particula
<
emph
type
="
italics
"/>
C
<
emph.end
type
="
italics
"/>
conſi
<
lb
/>
ſterent in centro illo communi, Globum majorem ibi componentes. </
s
>
<
s
>
<
lb
/>
Et ſic pergitur in infinitum. </
s
>
<
s
>Eadem eſt igitur vis tota particula
<
lb
/>
rum omnium corporis cujuſcunque
<
emph
type
="
italics
"/>
RSTV
<
emph.end
type
="
italics
"/>
ac ſi corpus illud, ſer
<
lb
/>
vato gravitatis centro, figuram Globi indueret.
<
emph
type
="
italics
"/>
<
expan
abbr
="
q.
">que</
expan
>
E. D.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
Hinc motus corporis attracti
<
emph
type
="
italics
"/>
Z
<
emph.end
type
="
italics
"/>
idem erit ac ſi corpus
<
lb
/>
attrahens
<
emph
type
="
italics
"/>
RSTV
<
emph.end
type
="
italics
"/>
eſſet Sphæricum: & propterea ſi corpus illud
<
lb
/>
attrahens vel quieſcat, vel progrediatur uniformiter in directum;
<
lb
/>
corpus attractum movebitur in Ellipſi centrum habente in attra
<
lb
/>
hentis centro gravitatis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO LXXXIX. THEOREMA XLVI.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Si Corpora ſint plura ex particulis æqualibus conſtantia, quarum vi
<
lb
/>
res ſunt ut diſtantiæ loeorum a ſingulis: vis ex omnium viri
<
lb
/>
bus compoſita, qua corpuſculum quodcunque trahitur, tendet ad
<
lb
/>
trahentium commune centrum gravitatis, & eadem erit ac ſi
<
lb
/>
trahentia illa, ſervato gravitatis centro communi, coirent & in
<
lb
/>
Globum formarentur.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Demonſtratur eodem modo, atque Propoſitio ſuperior. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
Ergo motus corporis attracti idem erit ac ſi corpora tra
<
lb
/>
hentia, ſervato communi gravitatis centro, coirent & in Globum
<
lb
/>
formarentur. </
s
>
<
s
>Ideoque ſi corporum trahentium commune gravita
<
lb
/>
tis centrum vel quieſcit, vel progreditur uniformiter in linea recta:
<
lb
/>
corpus attractum movebitur in Ellipſi, centrum habente in com
<
lb
/>
muni illo trahentium centro gravitatis. </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>