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
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
<
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
="
039/01/190.jpg
"
pagenum
="
162
"/>
<
arrow.to.target
n
="
note138
"/>
bus actio ipſius
<
emph
type
="
italics
"/>
T
<
emph.end
type
="
italics
"/>
minuetur undique, decreſcetQ.E.I. ratione pluſ
<
lb
/>
quam duplicata diſtantiæ. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note138
"/>
DE MOTU
<
lb
/>
CORPORUM</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
8. Cum autem pendeat Apſidum progreſſus vel regreſſus
<
lb
/>
a decremento vis centripetæ facto in majori vel minori quam du
<
lb
/>
plicata ratione diſtantiæ
<
emph
type
="
italics
"/>
TP,
<
emph.end
type
="
italics
"/>
in tranſitu corporis ab Apſide ima
<
lb
/>
ad Apſidem ſummam; ut & a ſimili incremento in reditu ad Ap
<
lb
/>
ſidem imam; atque adeo maximus ſit ubi proportio vis in Apſide
<
lb
/>
ſumma ad vim in Apſide ima maxime recedit a duplicata ratione
<
lb
/>
diſtantiarum inverſa: manifeſtum eſt quod Apſides in Syzygiis
<
lb
/>
ſuis, per vim ablatitiam
<
emph
type
="
italics
"/>
KL
<
emph.end
type
="
italics
"/>
ſeu
<
emph
type
="
italics
"/>
NM-LM,
<
emph.end
type
="
italics
"/>
progredientur ve
<
lb
/>
locius, inque Quadraturis ſuis tardius recedent per vim addititiam
<
lb
/>
<
emph
type
="
italics
"/>
LM.
<
emph.end
type
="
italics
"/>
Ob diuturnitatem vero temporis quo velocitas progreſſus vel
<
lb
/>
tarditas regreſſus continuatur, fit hæc inæqualitas longe maxima. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
9. Si corpus aliquod vi reciproce proportionali quadrato
<
lb
/>
diſtantiæ ſuæ a centro, revolveretur circa hoc centrum in El
<
lb
/>
lipſi, & mox, in deſcenſu ab Apſide ſumma ſeu Auge ad Apſidem
<
lb
/>
imam, vis illa per acceſſum perpetuum vis novæ augeretur in ra
<
lb
/>
tione pluſquam dupli
<
lb
/>
<
figure
id
="
id.039.01.190.1.jpg
"
xlink:href
="
039/01/190/1.jpg
"
number
="
110
"/>
<
lb
/>
cata diſtantiæ diminu
<
lb
/>
tæ: manifeſtum eſt
<
lb
/>
quod corpus, perpe
<
lb
/>
tuo acceſſu vis illius
<
lb
/>
novæ impulſum ſem
<
lb
/>
per in centrum, magis
<
lb
/>
vergeret in hoc cen
<
lb
/>
trum, quam ſi urge
<
lb
/>
retur vi ſola creſcente
<
lb
/>
in duplicata ratione diſtantiæ diminutæ, adeoque Orbem deſcri
<
lb
/>
beret Orbe Elliptico interiorem, & in Apſide ima propius acce
<
lb
/>
deret ad centrum quam prius. </
s
>
<
s
>Orbis igitur, acceſſu hujus vis no
<
lb
/>
væ, fiet magis excentricus. </
s
>
<
s
>Si jam vis, in receſſu corporis ab
<
lb
/>
Apſide ima ad Apſidem ſummam, decreſceret iiſdem gradibus qui
<
lb
/>
bus ante creverat, rediret corpus ad diſtantiam priorem, adeoque
<
lb
/>
ſi vis decreſcat in majori ratione, corpus jam minus attractum aſ
<
lb
/>
cendet ad diſtantiam majorem & ſic Orbis Excentricitas adhuc ma
<
lb
/>
gis augebitur. </
s
>
<
s
>Igitur ſi ratio incrementi & decrementi vis centri
<
lb
/>
petæ ſingulis revolutionibus augeatur, augebitur ſemper Excentri
<
lb
/>
citas; & e contra, diminuetur eadem ſi ratio illa decreſcat. </
s
>
<
s
>Jam
<
lb
/>
vero in Syſtemate corporum
<
emph
type
="
italics
"/>
T, P, S,
<
emph.end
type
="
italics
"/>
ubi Apſides Orbis
<
emph
type
="
italics
"/>
PAB
<
emph.end
type
="
italics
"/>
<
lb
/>
ſunt in Quadraturis, ratio illa incrementi ac decrementi minima eſt, </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>