Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 88
>
[Figure 71]
Page: 186
[Figure 72]
Page: 191
[Figure 73]
Page: 191
[Figure 74]
Page: 192
[Figure 75]
Page: 192
[Figure 76]
Page: 192
[Figure 77]
Page: 193
[Figure 78]
Page: 193
[Figure 79]
Page: 194
[Figure 80]
Page: 195
[Figure 81]
Page: 195
[Figure 82]
Page: 196
[Figure 83]
Page: 196
[Figure 84]
Page: 197
[Figure 85]
Page: 198
[Figure 86]
Page: 198
[Figure 87]
Page: 199
[Figure 88]
Page: 199
<
1 - 30
31 - 60
61 - 88
>
page
|<
<
of 203
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
051/01/150.jpg
"
pagenum
="
119
"/>
<
figure
id
="
id.051.01.150.1.jpg
"
xlink:href
="
051/01/150/1.jpg
"
number
="
49
"/>
<
p
type
="
main
">
<
s
>His explicatis, eſto tubus AB unius pedis, & </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
arrow.to.target
n
="
marg216
"/>
<
lb
/>
tubus CD quatuor pedum, æqualium foraminum,
<
lb
/>
& uterque ſeu ſemper, ſeu non ſemper plenus; qui
<
lb
/>
quidem eodem, vel æquali tempore inæqualem
<
lb
/>
effundunt aquæ copiam, nempe major majorem,
<
lb
/>
& minor minorem, ut conſtat ex Propoſitione III.
<
lb
/>
præcedenti. </
s
>
<
s
>Dico, aquam tubi CD, ad aquam
<
lb
/>
tubi AB eodem aut æquali tempore effuſam, ha
<
lb
/>
bere rationem ſubduplicatam tuborum, hoc eſt,
<
lb
/>
aquam effluentem è tubo CD eſſe duplam aquæ
<
lb
/>
effluentis è tubo BA. </
s
>
<
s
>Etidem dicendum eſt de qua
<
lb
/>
cunque alia ratione ſeu proportione; ut ſi unus tu
<
lb
/>
bus ſit 9 pedum, alter unius pedis, erit aqua ma
<
lb
/>
joris ad aquam minoris, ut 3 ad 1. </
s
>
<
s
>Conſtat ex
<
lb
/>
obſervatione, ut aſſerit Merſennus in ſuis Hydraulicis, Propo
<
lb
/>
ſit. 2 poſt medium. </
s
>
<
s
>Ratio phænomeni dependet ex velocita
<
lb
/>
te aquæ deſcendentis & effluentis ex tubo CD, ſupra veloci
<
lb
/>
tatem æquæ deſcendentis & effluentis ex tubo AB; de qua
<
lb
/>
vide Propoſit. IX. & X.
<
expan
abbr
="
ſeq.
">ſeque</
expan
>
ubi dicemus, illam ad hanc eſſe du
<
lb
/>
plam, hoc eſt, ſubduplicatam altitudinum tuborum haben
<
lb
/>
tium æqualia foramina; quo demonſtrato, demonſtrabimus
<
lb
/>
deinde Propoſitione XI. hanc præſentem Propoſitionem. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg216
"/>
<
emph
type
="
italics
"/>
Aquæ dupli
<
lb
/>
catam ra
<
lb
/>
tionem ha
<
lb
/>
bent tubo
<
lb
/>
rum æqua
<
lb
/>
lium lumi
<
lb
/>
num, at in
<
lb
/>
æqualium
<
lb
/>
<
expan
abbr
="
altitudinũ
">altitudinum</
expan
>
.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Poriſma I.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>COlligitur ex his, tuborum æqualium foraminum altitudi
<
lb
/>
<
arrow.to.target
n
="
marg217
"/>
<
lb
/>
nes debere eſſe in duplicata ratione aquarum inæqualium
<
lb
/>
quas debent eodem tempore fundere. </
s
>
<
s
>Verbi gratia, tubus pe
<
lb
/>
dalis determinato tempore dat unam aquæ libram ex ſuo fo
<
lb
/>
ramine; ut alius tubus ex æquali foramine æquali tempore det
<
lb
/>
duas libras, debet habere duplicatam rationem ad illum, nem
<
lb
/>
pe debet eſſe altus quatuor pedibus. </
s
>
<
s
>Sic etiam quia tubus qua
<
lb
/>
tuor pedum per lineare lumen ſpatio 13 minutorum ſecundo
<
lb
/>
rum fundit unam libram aquæ, ut diximus Propoſit. VII. ut
<
lb
/>
alius tubus eodem tempore per lumen lineare fundat centum </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>