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
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 - 361
>
31
(17)
32
(18)
33
(19)
34
(20)
35
(21)
36
(22)
37
(23)
38
(24)
39
(25)
40
(26)
<
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 - 361
>
page
|<
<
(17)
of 361
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div8
"
type
="
section
"
level
="
1
"
n
="
8
">
<
pb
o
="
17
"
file
="
0031
"
n
="
31
"
rhead
="
(o)
"/>
</
div
>
<
div
xml:id
="
echoid-div9
"
type
="
section
"
level
="
1
"
n
="
9
">
<
head
xml:id
="
echoid-head12
"
xml:space
="
preserve
">HYDRODYNAMICÆ
<
lb
/>
SECTIO SECUNDA,</
head
>
<
head
xml:id
="
echoid-head13
"
style
="
it
"
xml:space
="
preserve
">Quæ agit de fluidis ſtagnantibus eorundemque
<
lb
/>
æquilibrio tum inter ſe, tum ad alias po-
<
lb
/>
tentias relato.</
head
>
<
head
xml:id
="
echoid-head14
"
xml:space
="
preserve
">Theorema 1.</
head
>
<
head
xml:id
="
echoid-head15
"
xml:space
="
preserve
">§. 1.</
head
>
<
p
>
<
s
xml:id
="
echoid-s447
"
xml:space
="
preserve
">SUperficies fluidi ſtagnantis horizonti eſt parallela.</
s
>
<
s
xml:id
="
echoid-s448
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div10
"
type
="
section
"
level
="
1
"
n
="
10
">
<
head
xml:id
="
echoid-head16
"
xml:space
="
preserve
">Demonſtratio.</
head
>
<
p
>
<
s
xml:id
="
echoid-s449
"
xml:space
="
preserve
">Contineat vas A B C D (Fig. </
s
>
<
s
xml:id
="
echoid-s450
"
xml:space
="
preserve
">1.) </
s
>
<
s
xml:id
="
echoid-s451
"
xml:space
="
preserve
">fluidum E B C F, cu-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0031-01
"
xlink:href
="
note-0031-01a
"
xml:space
="
preserve
">Fig. 1.</
note
>
jus ſuperficies E G F, ſi fieri poſſit, horizonti non ſit parallela: </
s
>
<
s
xml:id
="
echoid-s452
"
xml:space
="
preserve
">conſi-
<
lb
/>
deretur guttula in loco eminentiori a, quæ gravitate ſua verticaliter
<
lb
/>
deorſum ſollicitatur vi repræſentata per a c, reſolvatur hæc vis in duas
<
lb
/>
collaterales a d & </
s
>
<
s
xml:id
="
echoid-s453
"
xml:space
="
preserve
">a b alteram perpendicularem ad ſuperficiem, alte-
<
lb
/>
ram quæ tangat illam: </
s
>
<
s
xml:id
="
echoid-s454
"
xml:space
="
preserve
">Cum autem nihil adſit, quod huic vi poſteriori
<
lb
/>
reſiſtat, hæc non poteſt non effectum ſuum exerere, ipſamque adeo
<
lb
/>
guttulam verſus E trahere, quod eſſet contra hypotheſin ſtagnationis, ſeu
<
lb
/>
ſtatus permanentis: </
s
>
<
s
xml:id
="
echoid-s455
"
xml:space
="
preserve
">Igitur neceſſe eſt, ut vis tangentialis a b ubique nulla
<
lb
/>
ſit, quod non aliter contingit, quam cum ſuperficies tota horizonti eſt
<
lb
/>
parallela. </
s
>
<
s
xml:id
="
echoid-s456
"
xml:space
="
preserve
">Q. </
s
>
<
s
xml:id
="
echoid-s457
"
xml:space
="
preserve
">E. </
s
>
<
s
xml:id
="
echoid-s458
"
xml:space
="
preserve
">D.</
s
>
<
s
xml:id
="
echoid-s459
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div12
"
type
="
section
"
level
="
1
"
n
="
11
">
<
head
xml:id
="
echoid-head17
"
xml:space
="
preserve
">Corollarium.</
head
>
<
p
>
<
s
xml:id
="
echoid-s460
"
xml:space
="
preserve
">§. </
s
>
<
s
xml:id
="
echoid-s461
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s462
"
xml:space
="
preserve
">Hinc intelligitur veritas propoſitionis generalis, quod nempe
<
lb
/>
ſuperficies fluidi, cujus partes viribus quibuscunque ſollicitantur, ſe
<
lb
/>
ita ſemper componat, ut quælibet guttula, in ſuperficie poſita, trahatur
<
lb
/>
ſub directione, ad ſuperficiem perpendiculari.</
s
>
<
s
xml:id
="
echoid-s463
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>