Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 3
[out of range]
>
<
1 - 3
[out of range]
>
page
|<
<
(244)
of 361
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div252
"
type
="
section
"
level
="
1
"
n
="
194
">
<
pb
o
="
244
"
file
="
0258
"
n
="
258
"/>
</
div
>
<
div
xml:id
="
echoid-div254
"
type
="
section
"
level
="
1
"
n
="
195
">
<
head
xml:id
="
echoid-head246
"
xml:space
="
preserve
">
<
emph
style
="
bf
">HYDRODYNAMICÆ</
emph
>
</
head
>
<
head
xml:id
="
echoid-head247
"
xml:space
="
preserve
">SECTIO UNDECIMA.</
head
>
<
head
xml:id
="
echoid-head248
"
style
="
it
"
xml:space
="
preserve
">De fluidis in vorticem actis, tum etiam de iis, quæ
<
lb
/>
in vaſis motis continentur.</
head
>
<
head
xml:id
="
echoid-head249
"
xml:space
="
preserve
">§. 1.</
head
>
<
p
>
<
s
xml:id
="
echoid-s7193
"
xml:space
="
preserve
">EX eo tempore quo Keplerus & </
s
>
<
s
xml:id
="
echoid-s7194
"
xml:space
="
preserve
">Carteſius vortices adhibuere pro
<
lb
/>
variis naturæ phænomenis explicandis, multi operam ſuam haud
<
lb
/>
male ſe collocaturos rati ſollicite iſtud argumentum ruminati ſunt:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7195
"
xml:space
="
preserve
">primus autem, ni fallor, naturam ejus recte penetravit Huge-
<
lb
/>
nius in tract. </
s
>
<
s
xml:id
="
echoid-s7196
"
xml:space
="
preserve
">ſur la peſanteur; </
s
>
<
s
xml:id
="
echoid-s7197
"
xml:space
="
preserve
">ſuperaddam quædam, quæ ad in-
<
lb
/>
ſtitutum meum pertinent, ab aliis fortaſſe non ſatis examinata.</
s
>
<
s
xml:id
="
echoid-s7198
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7199
"
xml:space
="
preserve
">Poni autem ſolent vortices ad ſtatum permanentiæ ſeu durationis redu-
<
lb
/>
cti, ita ut nulli mutationi ſubjectum lege conſtanter eadem moveatur flui-
<
lb
/>
dum.</
s
>
<
s
xml:id
="
echoid-s7200
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7201
"
xml:space
="
preserve
">§. </
s
>
<
s
xml:id
="
echoid-s7202
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s7203
"
xml:space
="
preserve
">Sit cylindrus A B C D (Fig. </
s
>
<
s
xml:id
="
echoid-s7204
"
xml:space
="
preserve
">65. </
s
>
<
s
xml:id
="
echoid-s7205
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7206
"
xml:space
="
preserve
">66.) </
s
>
<
s
xml:id
="
echoid-s7207
"
xml:space
="
preserve
">verticaliter poſitus, cujus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0258-01
"
xlink:href
="
note-0258-01a
"
xml:space
="
preserve
">Fig. 65.</
note
>
axis G H, iſque ad certam altitudinem plenus ſit, concipiatur aqua in vorti-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0258-02
"
xlink:href
="
note-0258-02a
"
xml:space
="
preserve
">& 66.</
note
>
cem acta ſintque omnia jam ad ſtatum durationis reducta: </
s
>
<
s
xml:id
="
echoid-s7208
"
xml:space
="
preserve
">Ita ſuperficies aquæ
<
lb
/>
deprimetur verſus axem & </
s
>
<
s
xml:id
="
echoid-s7209
"
xml:space
="
preserve
">elevabitur verſus latera: </
s
>
<
s
xml:id
="
echoid-s7210
"
xml:space
="
preserve
">Sectionem per axem termi-
<
lb
/>
natam à ſuperficie aquæ repræſentabimus curva E O F, hujuſque curvæ nunc
<
lb
/>
indolem dabimus ex data relatione, quam inter ſe habent velocitates ſub certis
<
lb
/>
ab axe diſtantiis.</
s
>
<
s
xml:id
="
echoid-s7211
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7212
"
xml:space
="
preserve
">Ducantur g a & </
s
>
<
s
xml:id
="
echoid-s7213
"
xml:space
="
preserve
">f n infinite propinquæ & </
s
>
<
s
xml:id
="
echoid-s7214
"
xml:space
="
preserve
">horizontales, agaturque a m
<
lb
/>
verticalis: </
s
>
<
s
xml:id
="
echoid-s7215
"
xml:space
="
preserve
">Sit O g = x, gf ſeu am = dx, ga = y, mn = dy: </
s
>
<
s
xml:id
="
echoid-s7216
"
xml:space
="
preserve
">Patet autem
<
lb
/>
quamlibet guttulam in ſuperficie poſitam niſu ſuo, ex vi centriſuga horizontali
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s7217
"
xml:space
="
preserve
">vi gravitatis verticali, compoſito perpendiculariter ſuperficiei inſiſtere, quia
<
lb
/>
ſi oblique contranitatur nihil ſit, quod guttulam in loco ſuo conſervet.</
s
>
<
s
xml:id
="
echoid-s7218
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7219
"
xml:space
="
preserve
">Igitur ſi vis centrifuga guttulæ in a poſitæ exprimatur per </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>