Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 524
>
411
412
413
414
415
416
417
418
419
420
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 524
>
page
|<
<
of 524
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
subchap1
>
<
subchap2
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
039/01/416.jpg
"
pagenum
="
388
"/>
<
arrow.to.target
n
="
note419
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note419
"/>
DE MUNDI
<
lb
/>
SYSTEMATE</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXI. THEOREMA XVII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Puncta Æquinoctialia regredi, & axem Terræ ſingulis revoluti
<
lb
/>
onibus annuis nutando bis inclinari in Eclipticam & bis re
<
lb
/>
dire ad poſitionem priorem.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Patet per Corol. </
s
>
<
s
>20. Prop. </
s
>
<
s
>LXVI. Lib. </
s
>
<
s
>I. </
s
>
<
s
>Motus tamen iſte
<
lb
/>
nutandi perexiguus eſſet debet, & vix aut ne vix quidem ſen
<
lb
/>
ſibilis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO XXII. THEOREMA XVIII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Motus omnes Lunares, omneſque motuum inæqualitates ex alla
<
lb
/>
tis Principiis conſequi.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Planetas majores, interea dum circa Solem feruntur, poſſe alios
<
lb
/>
minores circum ſe revolventes Planetas deferre, & minores illos in
<
lb
/>
Ellipſibus, umbilicos in centris majorum habentibus, revolvi de
<
lb
/>
bere patet per Prop. </
s
>
<
s
>LXV. Lib. </
s
>
<
s
>I. </
s
>
<
s
>Actione autem Solis perturba
<
lb
/>
buntur eorum motus multimode, iiſque adficientur inæqualitati
<
lb
/>
bus quæ in Luna noſtra notantur. </
s
>
<
s
>Hæc utique (per Corol. </
s
>
<
s
>2,
<
lb
/>
3, 4, & 5. Prop. </
s
>
<
s
>LXVI.) velocius movetur, ac radio ad Terram
<
lb
/>
ducto deſcribit aream pro tempore majorem, Orbemque habet
<
lb
/>
minus curvum, atque adeo propius accedit ad Terram, in Syzygiis
<
lb
/>
quam in Quadraturis, niſi quatenus impedit motus Eccentricitatis. </
s
>
<
s
>
<
lb
/>
Eccentricitas enim maxima eſt (per Corol. </
s
>
<
s
>9. Prop. </
s
>
<
s
>LXVI.) ubi
<
lb
/>
Apogæum Lunæ in Syzygiis verſatur, & minima ubi idem in Qua
<
lb
/>
draturis conſiſtit; & inde Luna in Perigæo velocior eſt & nobis
<
lb
/>
propior, in Apogæo autem tardior & remotior in Syzygiis quam
<
lb
/>
in Quadraturis. </
s
>
<
s
>Progreditur inſuper Apogæum, & regrediuntur
<
lb
/>
Nodi, ſed motu inæquabili. </
s
>
<
s
>Et Apogæum quidem (per Corol. </
s
>
<
s
>7.
<
lb
/>
& 8. Prop. </
s
>
<
s
>LXVI.) velocius progreditur in Syzygiis ſuis, tardius
<
lb
/>
regreditur in Quadraturis, & exceſſu progreſſus ſupra regreſſum
<
lb
/>
annuatim fertur in conſequentia. </
s
>
<
s
>Nodi autem (per Corol. </
s
>
<
s
>11.
<
lb
/>
Prop. </
s
>
<
s
>LXVI.) quieſcunt in Syzygiis ſuis, & velociſſime regrediun
<
lb
/>
tur in Quadraturis. </
s
>
<
s
>Sed & major eſt Lunæ latitudo maxima in
<
lb
/>
ipſius Quadraturis (per Corol. </
s
>
<
s
>10. Prop. </
s
>
<
s
>LXVI.) quam in Syzy
<
lb
/>
giis: & motus medius tardior in Perihelio Terræ (per Corol. </
s
>
<
s
>6. </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>