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
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 - 203
>
31
32
33
34
35
36
37
38
39
40
<
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 - 203
>
page
|<
<
of 203
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
051/01/163.jpg
"
pagenum
="
132
"/>
<
arrow.to.target
n
="
fig32
"/>
<
lb
/>
tubus FQ, per foramen KN, quantò
<
lb
/>
maius eſt lumen KN, quàm
<
expan
abbr
="
lumẽ
">lumen</
expan
>
EC,
<
lb
/>
nempe duodecies plùs. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg238
"/>
<
emph
type
="
italics
"/>
Proportio
<
lb
/>
temporum
<
lb
/>
effluxus a
<
lb
/>
quæ ad fora
<
lb
/>
mina tubo
<
lb
/>
rum.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.051.01.163.1.jpg
"
xlink:href
="
051/01/163/1.jpg
"
number
="
55
"/>
<
p
type
="
main
">
<
s
>Ad hoc oſtendendum, intelligan
<
lb
/>
tur ſuper luminibus EC, KN,
<
expan
abbr
="
tanquã
">tanquam</
expan
>
<
lb
/>
ſuper baſibus, cylindri DC, LN,
<
expan
abbr
="
ejuſdẽ
">ejuſdem</
expan
>
<
lb
/>
altitudinis cum cylindricis tubis AB,
<
expan
abbr
="
Fq.
">Fque</
expan
>
</
s
>
<
s
>
<
lb
/>
Patet ex dictis Propoſit. XIII. præce
<
lb
/>
dente, Porismate 2, hos duos tubos
<
lb
/>
DC, LN, per lumina EC, KN, eodem
<
lb
/>
ſeu æquali tempore exhauriri. </
s
>
<
s
>Iam ſic. </
s
>
<
s
>
<
lb
/>
Per Propoſitionem XIII, huius capi
<
lb
/>
tis, aqua quæ effluit ex tubo FQ, per
<
lb
/>
lumen KN, eſt ad aquam, quæ eodem
<
lb
/>
ſeu æquali tempore effluit ex tubo AB,
<
lb
/>
per foramen EC, ut foramen KN ad foramen EC;
<
lb
/>
hoc eſt, eodem ſeu æquali tempore, quo ex lumine EC effluit
<
lb
/>
una columna aquea DC, effluunt ex lumine KN duodecim
<
lb
/>
columnæ aqueæ DC: Ergo dum ex lumine KN effluxit tota
<
lb
/>
aqua tubi FQ, effluxit ex lumine EC ſolùm duodecima
<
lb
/>
pars aquæ tubi AB; ac proinde tantò plùs temporis requiritur,
<
lb
/>
ut evacuetur tubus AB per lumen EC, quàm ut evacuetur
<
lb
/>
tubus FQ per lumen KN, quantò maius eſt lumen KN quàm
<
lb
/>
lumen EC. </
s
>
<
s
>Ergo tempora ſunt reciprocè ut lumina. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Poriſma.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SEquitur hinc, etiam converſam eſſe veram, nempe lumina,
<
lb
/>
per quæ evacuantur tubi prædicti, eſſeinter ſe ut reciprocè
<
lb
/>
tempora, quibus evacuantur: Vnde data ratione
<
expan
abbr
="
temporũ
">temporum</
expan
>
, da
<
lb
/>
bitur ratio
<
expan
abbr
="
luminũ
">luminum</
expan
>
; ſicut è contrario, data ratione
<
expan
abbr
="
luminũ
">luminum</
expan
>
, datur
<
lb
/>
ratio temporum ſeu
<
expan
abbr
="
durationũ
">durationum</
expan
>
, quibus evacuantur prædicti tubi. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Propoſitio XVII. Problema I.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Datis altitudine & foramine tubi ſemper pleni, invenire
<
lb
/>
quantitatem aquæ quam dato tempore effundat; vel, datis
<
expan
abbr
="
ijſdẽ
">ijſdem</
expan
>
,
<
lb
/>
invenire magnitudinem ciſternæ quæ dato tempore
<
lb
/>
repleatur.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>