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
|<
<
of 361
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div147
"
type
="
section
"
level
="
1
"
n
="
116
">
<
pb
file
="
0138
"
n
="
138
"
rhead
="
(124)
"/>
</
div
>
<
div
xml:id
="
echoid-div148
"
type
="
section
"
level
="
1
"
n
="
117
">
<
head
xml:id
="
echoid-head147
"
xml:space
="
preserve
">
<
emph
style
="
bf
">HYDRODYNAMICÆ</
emph
>
</
head
>
<
head
xml:id
="
echoid-head148
"
xml:space
="
preserve
">SECTIO SEPTIMA.</
head
>
<
head
xml:id
="
echoid-head149
"
style
="
it
"
xml:space
="
preserve
">De motu aquarum per vaſa ſubmerſa, ubi exem-
<
lb
/>
plis oſtenditur, quam inſigniter utile ſit princi-
<
lb
/>
pium conſervationis virium vivarum, veliis in caſibus, quibus continue
<
lb
/>
aliquid de illis perdi cenſendum eſt.</
head
>
<
head
xml:id
="
echoid-head150
"
xml:space
="
preserve
">PARS PRIMA.</
head
>
<
head
xml:id
="
echoid-head151
"
style
="
it
"
xml:space
="
preserve
">De deſcenſu aquarum.</
head
>
<
head
xml:id
="
echoid-head152
"
xml:space
="
preserve
">§. 1.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3565
"
xml:space
="
preserve
">FInge cylindrum aquâ plenum, cujus fundum perforatum ſit, illudque
<
lb
/>
ad certam altitudinem aquæ ſtagnanti veluti infinitæ ſubmerſum, & </
s
>
<
s
xml:id
="
echoid-s3566
"
xml:space
="
preserve
">
<
lb
/>
facile intelliges ſuperficiem aquæ in cylindro contentæ deſcenſuram,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s3567
"
xml:space
="
preserve
">quidem infra ſuperficiem aquæ exterioris, dein rurſus aſcenſuram
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s3568
"
xml:space
="
preserve
">ſic porro. </
s
>
<
s
xml:id
="
echoid-s3569
"
xml:space
="
preserve
">Hæ vero oſcillationes admodum differunt ab oſcillationibus in præ-
<
lb
/>
cedente ſectione conſideratis, in quibus nempe motus reciproci ſemper ſunt
<
lb
/>
inverſo ordine iidem cum motibus, qui præceſſerunt. </
s
>
<
s
xml:id
="
echoid-s3570
"
xml:space
="
preserve
">Quis autem hic præſumat
<
lb
/>
refluxum aquarum ſeu aſcenſum eundem fore, qui fuerat deſcenſus. </
s
>
<
s
xml:id
="
echoid-s3571
"
xml:space
="
preserve
">Talia
<
lb
/>
ſi quis ſtatueret, is certe vehementer falleretur, etiamſi vel nihil motus di-
<
lb
/>
minuatur ab adhæſione aquarum ad latera vaſis hujuscemodique aliis impe-
<
lb
/>
dimentis, non ſecus atque regulæ motuum à percuſſione pro corporibus
<
lb
/>
elaſticis valde diverſæ ſunt ab iis, quæ pro corporibus mollibus valent, utut
<
lb
/>
in utroque caſu corpora liberrime moveri cenſeantur. </
s
>
<
s
xml:id
="
echoid-s3572
"
xml:space
="
preserve
">Utor hoc ſimili, quod
<
lb
/>
argumentum noſtrum egregie illuſtrat: </
s
>
<
s
xml:id
="
echoid-s3573
"
xml:space
="
preserve
">Prouti enim regulæ motuum in cor-
<
lb
/>
poribus mollibus recte determinatur, ſi poſt colliſionem ea vis vivæ
<
lb
/>
pars deperdita cenſeatur quæ in compreſſionem corporum impenſa fuit
<
lb
/>
(neque enim hæc ut in corporibus elaſticis reſtituitur motui progreſſivo) ita
<
lb
/>
aſcenſus fluidi non minus recte definietur, ſi accurate examinetur, quantum vis
<
lb
/>
vivæ ſingulis momentis motui particularum aquearum inteſtino communi-
<
lb
/>
cetur, nunquam rediturum ad motum progreſſivum, de quo ſermo eſt.</
s
>
<
s
xml:id
="
echoid-s3574
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3575
"
xml:space
="
preserve
">§. </
s
>
<
s
xml:id
="
echoid-s3576
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s3577
"
xml:space
="
preserve
">Cum itaque res eo deducta ſit, ut exploretur, quantum vis vivæ
<
lb
/>
in motibus iſtis reciprocis continue perdatur, diſquiſitionem ab hoc incipie-
<
lb
/>
mus.</
s
>
<
s
xml:id
="
echoid-s3578
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>