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
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
<
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
>
<
pb
xlink:href
="
039/01/211.jpg
"
pagenum
="
183
"/>
<
p
type
="
main
">
<
s
>Nam ſi linea
<
emph
type
="
italics
"/>
Pe
<
emph.end
type
="
italics
"/>
ſecet arcum
<
emph
type
="
italics
"/>
EF
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
q
<
emph.end
type
="
italics
"/>
; & recta
<
emph
type
="
italics
"/>
Ee,
<
emph.end
type
="
italics
"/>
quæ cum
<
lb
/>
<
arrow.to.target
n
="
note159
"/>
arcu evaneſcente
<
emph
type
="
italics
"/>
Ee
<
emph.end
type
="
italics
"/>
coincidit, producta occurrat rectæ
<
emph
type
="
italics
"/>
PS
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
T
<
emph.end
type
="
italics
"/>
;
<
lb
/>
& ab
<
emph
type
="
italics
"/>
S
<
emph.end
type
="
italics
"/>
demittatur in
<
emph
type
="
italics
"/>
PE
<
emph.end
type
="
italics
"/>
normalis
<
emph
type
="
italics
"/>
SG:
<
emph.end
type
="
italics
"/>
ob ſimilia triangula
<
lb
/>
<
emph
type
="
italics
"/>
DTE, dTe, DES
<
emph.end
type
="
italics
"/>
; erit
<
emph
type
="
italics
"/>
Dd
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Ee,
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
DT
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
TE,
<
emph.end
type
="
italics
"/>
ſeu
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
ad
<
lb
/>
<
figure
id
="
id.039.01.211.1.jpg
"
xlink:href
="
039/01/211/1.jpg
"
number
="
119
"/>
<
lb
/>
<
emph
type
="
italics
"/>
ES
<
emph.end
type
="
italics
"/>
; & ob triangula
<
emph
type
="
italics
"/>
Eeq, ESG
<
emph.end
type
="
italics
"/>
(per Lem. </
s
>
<
s
>VIII, & Corol. </
s
>
<
s
>3.
<
lb
/>
Lem. </
s
>
<
s
>VII) ſimilia, erit
<
emph
type
="
italics
"/>
Ee
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
eq
<
emph.end
type
="
italics
"/>
ſeu
<
emph
type
="
italics
"/>
Ff,
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
ES
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
SG
<
emph.end
type
="
italics
"/>
; & ex
<
lb
/>
æquo,
<
emph
type
="
italics
"/>
Dd
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
Ff
<
emph.end
type
="
italics
"/>
ut
<
emph
type
="
italics
"/>
DE
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
SG
<
emph.end
type
="
italics
"/>
; hoc eſt (ob ſimilia triangula
<
lb
/>
<
emph
type
="
italics
"/>
PDE, PGS
<
emph.end
type
="
italics
"/>
) ut
<
emph
type
="
italics
"/>
PE
<
emph.end
type
="
italics
"/>
ad
<
emph
type
="
italics
"/>
PS.
<
expan
abbr
="
q.
">que</
expan
>
E. D.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note159
"/>
LIBER
<
lb
/>
PRIMUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
PROPOSITIO LXXIX. THEOREMA XXXIX.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Si ſuperficies ob latitudinem infinite diminutam jamjam evaneſcens
<
emph.end
type
="
italics
"/>
<
lb
/>
EF fe,
<
emph
type
="
italics
"/>
convolutione ſui circa axem
<
emph.end
type
="
italics
"/>
PS,
<
emph
type
="
italics
"/>
deſcribat ſolidum
<
lb
/>
Sphæricum concavo convexum, ad cujus particulas ſingulas æqua
<
lb
/>
les tendant æquales vires centripetæ: dico quod Vis, qua ſoli
<
lb
/>
dum illud trahit corpuſculum ſitum in
<
emph.end
type
="
italics
"/>
P,
<
emph
type
="
italics
"/>
est in ratione compo
<
lb
/>
ta ex ratione ſolidi
<
emph.end
type
="
italics
"/>
DE
<
emph
type
="
italics
"/>
q
<
emph.end
type
="
italics
"/>
XFf
<
emph
type
="
italics
"/>
& ratione vis qua particula
<
lb
/>
data in loco
<
emph.end
type
="
italics
"/>
Ff
<
emph
type
="
italics
"/>
traheret idem corpuſculum.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Nam ſi primo conſideremus vim ſuperficiei Sphæricæ
<
emph
type
="
italics
"/>
FE,
<
emph.end
type
="
italics
"/>
quæ
<
lb
/>
convolutione arcus
<
emph
type
="
italics
"/>
FE
<
emph.end
type
="
italics
"/>
generatur, & a linea
<
emph
type
="
italics
"/>
de
<
emph.end
type
="
italics
"/>
ubivis ſecatur in
<
emph
type
="
italics
"/>
r
<
emph.end
type
="
italics
"/>
;
<
lb
/>
erit ſuperficiei pars annularis, convolutione arcus
<
emph
type
="
italics
"/>
rE
<
emph.end
type
="
italics
"/>
genita, ut
<
lb
/>
lineola
<
emph
type
="
italics
"/>
Dd,
<
emph.end
type
="
italics
"/>
manente Sphæræ radio
<
emph
type
="
italics
"/>
PE,
<
emph.end
type
="
italics
"/>
(uti demonſtravit
<
emph
type
="
italics
"/>
Ar
<
lb
/>
chimedes
<
emph.end
type
="
italics
"/>
in Lib. </
s
>
<
s
>de
<
emph
type
="
italics
"/>
Sphæra
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
Cylindro.
<
emph.end
type
="
italics
"/>
) Et hujus vis ſecundum li
<
lb
/>
neas
<
emph
type
="
italics
"/>
PE
<
emph.end
type
="
italics
"/>
vel
<
emph
type
="
italics
"/>
Pr
<
emph.end
type
="
italics
"/>
undiQ.E.I. ſuperficie conica ſitas exercita, ut
<
lb
/>
hæc ipſa ſuperficiei pars annularis; hoc eſt, ut lineola
<
emph
type
="
italics
"/>
Dd
<
emph.end
type
="
italics
"/>
vel,
<
lb
/>
quod perinde eſt, ut rectangulum ſub dato Sphæræ radio
<
emph
type
="
italics
"/>
PE
<
emph.end
type
="
italics
"/>
& </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>