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
|<
<
(22)
of 361
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div24
"
type
="
section
"
level
="
1
"
n
="
20
">
<
p
>
<
s
xml:id
="
echoid-s574
"
xml:space
="
preserve
">
<
pb
o
="
22
"
file
="
0036
"
n
="
36
"
rhead
="
HYDRODYNAMICÆ
"/>
demum attolletur pondus; </
s
>
<
s
xml:id
="
echoid-s575
"
xml:space
="
preserve
">erit autem æquilibrium, cum locus contactus
<
lb
/>
c d ſe habet ad orificium o, ut pondus B ad pondus cylindri aquei altitudi-
<
lb
/>
nis FR ſuper baſi o inſiſtentis. </
s
>
<
s
xml:id
="
echoid-s576
"
xml:space
="
preserve
">Pendet itaque abſoluta elevationis determi-
<
lb
/>
natio à ſtructura veſicæ, quæ ſi exempli gratia compoſita fuerit ex filamen-
<
lb
/>
tis perfecte flexibilibus, extenſionemque nullam admittentibus, ſimulque
<
lb
/>
figuram naturalem habuerit Sphæricam, facile apparet, fore ſpatia conta-
<
lb
/>
ctus cnd & </
s
>
<
s
xml:id
="
echoid-s577
"
xml:space
="
preserve
">gpe æqualia & </
s
>
<
s
xml:id
="
echoid-s578
"
xml:space
="
preserve
">corrugata, partemque reliquam expanſam,
<
lb
/>
habituram eſſe formam Zonæ ſphæricæ; </
s
>
<
s
xml:id
="
echoid-s579
"
xml:space
="
preserve
">Atque hinc per Geometriam dedu-
<
lb
/>
citur quantitas elevationis np, quæ nulla erit, quamdiu circulus maximus
<
lb
/>
veſicæ minorem habuerit rationem ad orificium o illa, quæ eſt inter pon-
<
lb
/>
dus B & </
s
>
<
s
xml:id
="
echoid-s580
"
xml:space
="
preserve
">pondus præfati cylindri aquei, nec prius tota explicabitur veſi-
<
lb
/>
ca quam altitudo fuerit infinita, id eſt, nunquam. </
s
>
<
s
xml:id
="
echoid-s581
"
xml:space
="
preserve
">Si vero fibræ alius ſunt
<
lb
/>
indolis, aliter ſe res habet, quod multi non ſatis conſiderarunt, quibus de
<
lb
/>
figura veſicæ inflatæ ſermo fuit, eamque cavernulis muſcularibus in œcono-
<
lb
/>
mia animali applicare voluerunt, quâ de re nunc paullo fuſius agam.</
s
>
<
s
xml:id
="
echoid-s582
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s583
"
xml:space
="
preserve
">§. </
s
>
<
s
xml:id
="
echoid-s584
"
xml:space
="
preserve
">10. </
s
>
<
s
xml:id
="
echoid-s585
"
xml:space
="
preserve
">Fuerit vèſica DC (Fig. </
s
>
<
s
xml:id
="
echoid-s586
"
xml:space
="
preserve
">6.) </
s
>
<
s
xml:id
="
echoid-s587
"
xml:space
="
preserve
">eidemque appenſum pondus P, ſi-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0036-01
"
xlink:href
="
note-0036-01a
"
xml:space
="
preserve
">Fig. 6.</
note
>
mulque alligata tubulo DA, cujus rurſus longitudinem compendii ergo in
<
lb
/>
comparabiliter majorem longitudine DC fingemus. </
s
>
<
s
xml:id
="
echoid-s588
"
xml:space
="
preserve
">His poſitis facile qui-
<
lb
/>
dem quivis perſpicit, repletis veſica & </
s
>
<
s
xml:id
="
echoid-s589
"
xml:space
="
preserve
">tubulo fore, ut illa intumeſcat,
<
lb
/>
pondusque appenſum P elevet: </
s
>
<
s
xml:id
="
echoid-s590
"
xml:space
="
preserve
">nemo autem intelliget ſtatum æquilibrii,
<
lb
/>
figuramque ventricoſam, niſi plane intelligatur ſtructura veſicæ ejusdemque
<
lb
/>
fibrarum, quæ cum ita ſint, caſus aliquot ſingulares examinabimus, qui
<
lb
/>
frequentius occurrere poſſunt.</
s
>
<
s
xml:id
="
echoid-s591
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div27
"
type
="
section
"
level
="
1
"
n
="
21
">
<
head
xml:id
="
echoid-head27
"
xml:space
="
preserve
">Caſus I.</
head
>
<
p
>
<
s
xml:id
="
echoid-s592
"
xml:space
="
preserve
">§. </
s
>
<
s
xml:id
="
echoid-s593
"
xml:space
="
preserve
">11. </
s
>
<
s
xml:id
="
echoid-s594
"
xml:space
="
preserve
">Si veſica compoſita fuerit ex fibris longitudinalibus DpC,
<
lb
/>
DmC &</
s
>
<
s
xml:id
="
echoid-s595
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s596
"
xml:space
="
preserve
">inſtar meridianorum in punctis D & </
s
>
<
s
xml:id
="
echoid-s597
"
xml:space
="
preserve
">C, ceu Polis concurren-
<
lb
/>
tibus æqualibus, perfecte flexibilibus & </
s
>
<
s
xml:id
="
echoid-s598
"
xml:space
="
preserve
">uniformibus, quarum ſingu-
<
lb
/>
læ inter ſe proximæ minimis connectantur fibrillis transverſalibus, hisque ita
<
lb
/>
laxis, ut minima vel quaſi nulla vi ſufficientem extenſionem admittant. </
s
>
<
s
xml:id
="
echoid-s599
"
xml:space
="
preserve
">Sic
<
lb
/>
quælibet fibra DpC incurvabitur in figuram elaſticæ, totaque veſica formam
<
lb
/>
aſſumet ſolidi, quod generatur ex revolutione iſtius curvæ circa axem DC.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s600
"
xml:space
="
preserve
">Si porro altitudo AD eſt infinita, fit elaſtica DpC rectangula & </
s
>
<
s
xml:id
="
echoid-s601
"
xml:space
="
preserve
">tunc eſt
<
lb
/>
graſſities maxima veſicæ ad longitudinem axis DC ut 25 ad 11 præter </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>