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
="
039/01/443.jpg
"
pagenum
="
415
"/>
& agatur
<
emph
type
="
italics
"/>
AE
<
emph.end
type
="
italics
"/>
vel
<
emph
type
="
italics
"/>
AF
<
emph.end
type
="
italics
"/>
ſecans perpendiculum
<
emph
type
="
italics
"/>
DG
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
G
<
emph.end
type
="
italics
"/>
; & ca
<
lb
/>
<
arrow.to.target
n
="
note444
"/>
piatur angulus qui ſit ad motum totum Nodi inter ipſius Syzy
<
lb
/>
gias (id eſt, ad 9
<
emph
type
="
sup
"/>
gr.
<
emph.end
type
="
sup
"/>
11′. </
s
>
<
s
>3″.) ut tangens
<
emph
type
="
italics
"/>
DG
<
emph.end
type
="
italics
"/>
ad circuli
<
emph
type
="
italics
"/>
BED
<
emph.end
type
="
italics
"/>
<
lb
/>
circumferentiam totam; atque angulus iſte (pro quo angulus
<
emph
type
="
italics
"/>
DAG
<
emph.end
type
="
italics
"/>
<
lb
/>
uſurpari poteſt) ad motum medium Nodorum addatur ubi Nodi
<
lb
/>
<
figure
id
="
id.039.01.443.1.jpg
"
xlink:href
="
039/01/443/1.jpg
"
number
="
216
"/>
<
lb
/>
tranſeunt a Quadraturis ad Syzygias, & ab eodem motu medio
<
lb
/>
ſubducatur ubi tranſeunt a Syzygiis ad Quadraturas; habebitur
<
lb
/>
eorum motus verus. </
s
>
<
s
>Nam motus verus ſic inventus congruet
<
lb
/>
quam proxime cum motu vero qui prodit exponendo tempus per
<
lb
/>
aream
<
emph
type
="
italics
"/>
NTA-NdZ,
<
emph.end
type
="
italics
"/>
& motum Nodi per aream
<
emph
type
="
italics
"/>
NAeN
<
emph.end
type
="
italics
"/>
; ut
<
lb
/>
rem perpendenti & computationes inſtituenti conſtabit. </
s
>
<
s
>Hæc eſt
<
lb
/>
æquatio ſemeſtris motus Nodorum. </
s
>
<
s
>Eſt & æquatio menſtrua, ſed
<
lb
/>
quæ ad inventionem Latitudinis Lunæ minime neceſſaria eſt. </
s
>
<
s
>Nam
<
lb
/>
cum Variatio Inclinationis Orbis Lunaris ad planum Eclipticæ du
<
lb
/>
plici inæqualitati obnoxia ſit, alteri ſemeſtri, alteri autem men
<
lb
/>
ſtruæ; &c. </
s
>
<
s
>hujus menſtrua inæqualitas & æquatio menſtrua Nodorum
<
lb
/>
ita ſe mutuo contemperant & corrigunt, ut ambæ in determinan
<
lb
/>
da Latitudine Lunæ negligi poſſint. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note444
"/>
LIBER
<
lb
/>
TERTIUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
Ex hac & præcedente Propoſitione liquet quod Nodi in
<
lb
/>
Syzygiis ſuis quieſcunt, in Quadraturis autem regrediuntur motu
<
lb
/>
horario 16″. </
s
>
<
s
>19′. </
s
>
<
s
>26
<
emph
type
="
sup
"/>
iv
<
emph.end
type
="
sup
"/>
. </
s
>
<
s
>Et quod æquatio motus Nodorum in
<
lb
/>
Octantibus ſit 1
<
emph
type
="
sup
"/>
gr.
<
emph.end
type
="
sup
"/>
30′. </
s
>
<
s
>Quæ omnia cum Phænomenis cœleſtibus
<
lb
/>
probe quadrant. </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>