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
>
221
222
223
224
225
226
227
228
229
230
<
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
="
039/01/291.jpg
"
pagenum
="
263
"/>
præfiniti.
<
emph
type
="
italics
"/>
<
expan
abbr
="
q.
">que</
expan
>
E. D.
<
emph.end
type
="
italics
"/>
Et ſimili argumentatione patet Propoſitio, </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
arrow.to.target
n
="
note239
"/>
ubi gravitas decreſcit in ratione quavis aſſignata diſtantiæ a centro,
<
lb
/>
ut & ubi Fluidum ſurſum rarius eſt, deorſum denſius.
<
emph
type
="
italics
"/>
Q.E.D.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
note239
"/>
LIBER
<
lb
/>
SECUNDUS.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
1. Igitur fundum non urgetur a toto fluidi incumbentis
<
lb
/>
pondere, ſed eam ſolummodo ponderis partem ſuſtinet quæ in
<
lb
/>
propoſitione deſcribitur; pondere reliquo a fluidi figura fornicata
<
lb
/>
ſuſtentato. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
2. In æqualibus autem a centro diſtantiis eadem ſemper eſt
<
lb
/>
preſſionis quantitas, ſive ſuperficies preſſa ſit Horizonti parallela
<
lb
/>
vel perpendicularis vel obliqua; ſive fluidum, a ſuperficie preſſa ſur
<
lb
/>
ſum continuatum, ſurgat perpendiculariter ſecundum lineam rectam,
<
lb
/>
vel ſerpit oblique per tortas cavitates & canales, eaſque regulares
<
lb
/>
vel maxime irregulares, amplas vel anguſtiſſimas. </
s
>
<
s
>Hiſce circum
<
lb
/>
ſtantiis preſſionem nil mutari colligitur, applicando demonſtratio
<
lb
/>
nem Theorematis hujus ad Caſus ſingulos Fluidorum. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
3. Eadem Demonſtratione colligitur etiam (per Prop. </
s
>
<
s
>XIX)
<
lb
/>
quod fluidi gravis partes nullum, ex preſſione ponderis incumben
<
lb
/>
tis, acquirunt motum inter ſe, ſi modo excludatur motus qui ex
<
lb
/>
condenſatione oriatur. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
4. Et propterea ſi aliud ejuſdem gravitatis ſpecificæ cor
<
lb
/>
pus, quod ſit condenſationis expers, ſubmergatur in hoc fluido, id
<
lb
/>
ex preſſione ponderis incumbentis nullum acquiret motum: non
<
lb
/>
deſcendet, non aſcendet, non cogetur figuram ſuam mutare. </
s
>
<
s
>Si
<
lb
/>
ſphæricum eſt manebit ſphæricum, non obſtante preſſione; ſi qua
<
lb
/>
dratum eſt manebit quadratum: idque ſive molle ſit, ſive fluidiſſi
<
lb
/>
mum; ſive fluido libere innatet, ſive fundo incumbat. </
s
>
<
s
>Habet e
<
lb
/>
nim fluidi pars quælibet interna rationem corporis ſubmerſi, & par
<
lb
/>
eſt ratio omnium ejuſdem magnitudinis, figuræ & gravitatis ſpeci
<
lb
/>
ficæ ſubmerſorum corporum. </
s
>
<
s
>Si corpus ſubmerſum ſervato pon
<
lb
/>
dere liqueſceret & indueret formam fluidi; hoc, ſi prius aſcende
<
lb
/>
ret vel deſcenderet vel ex preſſione figuram novam indueret, etiam
<
lb
/>
nunc aſcenderet vel deſcenderet vel figuram novam induere coge
<
lb
/>
retur: id adeo quia gravitas ejus cæteræque motuum cauſæ per
<
lb
/>
manent. </
s
>
<
s
>Atqui, per Caſ. </
s
>
<
s
>5. Prop. </
s
>
<
s
>XIX, jam quieſceret & figuram
<
lb
/>
retineret. </
s
>
<
s
>Ergo & prius. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Corol.
<
emph.end
type
="
italics
"/>
5. Proinde corpus quod ſpecifice gravius eſt quam Flui
<
lb
/>
dum ſibi contiguum ſubſidebit, & quod ſpecifice levius eſt aſcen
<
lb
/>
det, motumque & figuræ mutationem conſequetur, quantum ex
<
lb
/>
ceſſus ille vel defectus gravitatis efficere poſſit. </
s
>
<
s
>Namque exceſſus
<
lb
/>
ille vel deſectus rationem habet impulſus, quo corpus, alias in </
s
>
</
p
>
</
subchap2
>
</
subchap1
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>