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
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
<
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
="
039/01/319.jpg
"
pagenum
="
291
"/>
<
lb
/>
pluſquam duplicata. </
s
>
<
s
>Ejus rei cauſam inveſtigando, in hanc in
<
lb
/>
<
arrow.to.target
n
="
note267
"/>
cidi, quod Arca nimis anguſta eſſet pro magnitudine Globi pen
<
lb
/>
duli, & motum aquæ cedentis præ anguſtia ſua nimis impedie
<
lb
/>
bat. </
s
>
<
s
>Nam ſi Globus pendulus, cujus diameter erat digiti u
<
lb
/>
nius, immergeretur; reſiſtentia augebatur in duplicata ratione ve
<
lb
/>
locitatis quam proxime. </
s
>
<
s
>Id tentabam conſtruendo pendulum ex
<
lb
/>
Globis duobus, quorum inferior & minor oſcillaretur in aqua, ſu
<
lb
/>
perior & major proxime ſupra aquam filo affixus eſſet, & in Aere
<
lb
/>
oſcillando, adjuvaret motum penduli eumQ.E.D.uturniorem redde
<
lb
/>
ret. </
s
>
<
s
>Experimenta autem hoc modo inſtituta ſe habebant ut in Ta
<
lb
/>
bula ſequente deſcribitur.
<
lb
/>
</
s
>
</
p
>
<
table
>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Arcus deſcenſu primo deſcriptus
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>16</
cell
>
<
cell
>8</
cell
>
<
cell
>4</
cell
>
<
cell
>2</
cell
>
<
cell
>1</
cell
>
<
cell
>1/2</
cell
>
<
cell
>1/4</
cell
>
</
row
>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Arcus aſcenſu ultimo deſcriptus
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>12</
cell
>
<
cell
>6</
cell
>
<
cell
>3</
cell
>
<
cell
>1 1/2</
cell
>
<
cell
>1/4</
cell
>
<
cell
>1/8</
cell
>
<
cell
>(1/16)</
cell
>
</
row
>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Arcuum diff. motui amiſſo proport.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>4</
cell
>
<
cell
>2</
cell
>
<
cell
>1</
cell
>
<
cell
>1/2</
cell
>
<
cell
>1/4</
cell
>
<
cell
>1/8</
cell
>
<
cell
>(1/16)</
cell
>
</
row
>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Numerus Oſcillationum
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>3 1/8</
cell
>
<
cell
>6 1/2</
cell
>
<
cell
>(12 1/12)</
cell
>
<
cell
>21 1/5</
cell
>
<
cell
>34</
cell
>
<
cell
>53</
cell
>
<
cell
>62 1/5</
cell
>
</
row
>
</
table
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note267
"/>
LIBER
<
lb
/>
SECUNDUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Conferendo reſiſtentias Mediorum inter ſe, effeci etiam ut pen
<
lb
/>
dula ferrea oſcillarentur in argento vivo. </
s
>
<
s
>Longitudo fili ferrei erat
<
lb
/>
pedum quaſi trium, & diameter Globi penduli quaſi tertia pars di
<
lb
/>
giti. </
s
>
<
s
>Ad filum autem proxime ſupra Mercurium affixus erat Glo
<
lb
/>
bus alius plumbeus ſatis magnus ad motum penduli diutius conti
<
lb
/>
nuandum. </
s
>
<
s
>Tum vaſculum, quod capiebat quaſi libras tres argenti
<
lb
/>
vivi, implebam vicibus alternis argento vivo & aqua communi, ut
<
lb
/>
pendulo in Fluido utroque ſucceſſive oſcillante, invenirem propor
<
lb
/>
tionem reſiſtentiarum: & prodiit reſiſtentia argenti vivi ad reſi
<
lb
/>
ſtentiam aquæ, ut 13 vel 14 ad 1 circiter: id eſt, ut denſitas argen
<
lb
/>
ti vivi ad denſitatem aquæ. Ubi Globum pendulum paulo majo
<
lb
/>
rem adhibebam, puta cujus diameter eſſet quaſi 1/3 vel 2/3 partes di
<
lb
/>
giti, prodibat reſiſtentia argenti vivi in ea ratione ad reſiſtentiam
<
lb
/>
aquæ quam habet numerus 12 vel 10 ad 1 circiter. </
s
>
<
s
>Sed experi
<
lb
/>
mento priori magis fidendum eſt, propterea quod in his ultimis
<
lb
/>
Vas nimis anguſtum fuit pro magnitudine Globi immerſi. </
s
>
<
s
>Am
<
lb
/>
pliato Globo, deberet etiam Vas ampliari. </
s
>
<
s
>Conſtitueram quidem
<
lb
/>
hujuſmodi experimenta in vaſis majoribus & in liquoribus tum
<
lb
/>
Metallorum fuſorum, tum aliis quibuſdam tam calidis quam fri
<
lb
/>
gidis repetere: ſed omnia experiri non vacat, & ex jam deſcriptis
<
lb
/>
ſatis liquet reſiſtentiam corporum celeriter motorum denſitati Flu
<
lb
/>
idorum in quibus moventur proportionalem eſſe quam proxime.
<
lb
/>
Non dico accurate. </
s
>
<
s
>Nam Fluida tenaciora, pari denſitate, procul-</
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>