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
="
039/01/423.jpg
"
pagenum
="
395
"/>
Solem. </
s
>
<
s
>Ea componitur ex partibus
<
emph
type
="
italics
"/>
SM, LM,
<
emph.end
type
="
italics
"/>
quarum
<
emph
type
="
italics
"/>
LM
<
emph.end
type
="
italics
"/>
&
<
lb
/>
<
arrow.to.target
n
="
note424
"/>
ipſius
<
emph
type
="
italics
"/>
SM
<
emph.end
type
="
italics
"/>
pars
<
emph
type
="
italics
"/>
TM
<
emph.end
type
="
italics
"/>
perturbat motum Lunæ, ut in Libri primi
<
lb
/>
Prop. </
s
>
<
s
>LXVI. & ejus Corollariis expoſitum eſt. </
s
>
<
s
>Quatenus Terra
<
lb
/>
& Luna circum commune gravitatis centrum revolvuntur, pertur
<
lb
/>
babitur etiam motus Terræ circa centrum illud a viribus conſimi
<
lb
/>
libus; ſed ſummas tam virium quam motuum referre licet ad Lu
<
lb
/>
nam, & ſummas virium per lineas ipſis analogas
<
emph
type
="
italics
"/>
TM
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
ML
<
emph.end
type
="
italics
"/>
<
lb
/>
deſignare. </
s
>
<
s
>Vis
<
emph
type
="
italics
"/>
ML
<
emph.end
type
="
italics
"/>
(in mediocri ſua quantitate) eſt ad vim
<
lb
/>
centripetam, qua Luna in Orbe ſuo circa Terram quieſcentem ad
<
lb
/>
diſtantiam
<
emph
type
="
italics
"/>
PT
<
emph.end
type
="
italics
"/>
revolvi poſſet, in duplicata ratione temporum
<
lb
/>
periodieorum Lunæ circa Terram & Terræ circa Solem, (per
<
lb
/>
Corol. </
s
>
<
s
>17. Prop. </
s
>
<
s
>LXVI. Lib.I.) hoc eſt, in duplicata ratione die
<
lb
/>
rum 27.
<
emph
type
="
italics
"/>
hor.
<
emph.end
type
="
italics
"/>
7.
<
emph
type
="
italics
"/>
min.
<
emph.end
type
="
italics
"/>
43. ad dies 365.
<
emph
type
="
italics
"/>
hor.
<
emph.end
type
="
italics
"/>
6.
<
emph
type
="
italics
"/>
min.
<
emph.end
type
="
italics
"/>
9. id eſt, ut 1000
<
lb
/>
ad 178725, ſeu 1 ad (178 39/40). Invenimus autem in Propoſitione
<
lb
/>
quarta quod, ſi Terra & Luna circa commune gravitatis centrum
<
lb
/>
revolvantur, earum diſtantia mediocris ab invicem erit 60 1/2 ſemi
<
lb
/>
diametrorum mediocrium Terræ quamproxime. </
s
>
<
s
>Et vis qua Luna
<
lb
/>
in Orbe circa Terram quieſcentem, ad diſtantiam
<
emph
type
="
italics
"/>
PT
<
emph.end
type
="
italics
"/>
ſemidiame
<
lb
/>
trorum terreſtrium 60 1/2 revolvi poſſet, eſt ad vim, qua eodem
<
lb
/>
tempore ad diſtantiam ſemidiametrorum 60 revolvi poſſet, ut
<
lb
/>
60 1/2 ad 60; & hæc vis ad vim gravitatis apud nos ut 1 ad
<
lb
/>
60X60 quamproxime. </
s
>
<
s
>Ideoque vis mediocris
<
emph
type
="
italics
"/>
ML
<
emph.end
type
="
italics
"/>
eſt ad vim
<
lb
/>
gravitatis in ſuperficie Terræ, ut 1X60 1/2 ad 60X60X60X(178 29/40),
<
lb
/>
ſeu 1 ad 638092, 6. Vnde ex proportione linearum
<
emph
type
="
italics
"/>
TM, ML,
<
emph.end
type
="
italics
"/>
<
lb
/>
datur etiam vis
<
emph
type
="
italics
"/>
TM:
<
emph.end
type
="
italics
"/>
& hæ ſunt vires Solis quibus Lunæ motus
<
lb
/>
perturbantur.
<
emph
type
="
italics
"/>
Q.E.I.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note423
"/>
DE MUNDI
<
lb
/>
SYSTEMATE</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note424
"/>
LIBER
<
lb
/>
TERTIUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXVI. PROBLEMA VII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Invenire incrementum borarium areæ quam Luna, radio ad Ter
<
lb
/>
ram ducto, in Orbe circulari deſcribit.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Diximus aream, quam Luna radio ad Terram ducto deſcribit,
<
lb
/>
eſſe tempori proportionalem, niſi quatenus motus Lunaris ab
<
lb
/>
actione Solis turbatur. </
s
>
<
s
>Inæqualitatem momenti (vel incrementi
<
lb
/>
horarii) hic inveſtigandam proponimus. </
s
>
<
s
>Ut computatio facilior
<
lb
/>
reddatur, fingamus orbem Lunæ circularem eſſe, & inæqualitates
<
lb
/>
omnes negligamus, ea ſola excepta, de qua hic agitur. </
s
>
<
s
>Ob in
<
lb
/>
gentem vero Solis diſtantiam, ponamus etiam lineas
<
emph
type
="
italics
"/>
SP, ST
<
emph.end
type
="
italics
"/>
ſibi
<
lb
/>
invicem parallelas eſſe. </
s
>
<
s
>Hoc pacto vis
<
emph
type
="
italics
"/>
LM
<
emph.end
type
="
italics
"/>
reducetur ſemper </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>