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
[out of range]
>
<
1 - 30
31 - 60
61 - 88
[out of range]
>
page
|<
<
of 203
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
051/01/197.jpg
"
pagenum
="
166
"/>
ex æquo, per vigeſimam ſecundam Quinti Euclid. ut M ad O,
<
lb
/>
ita aqua per AD adaquam per EH fluentem. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Propoſitio XI. Problema VI.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Dato foramine, & linea horizontali, in aliquo vaſe,
<
lb
/>
conſtituere ſuper illa foramen, è quo æqualis aqua
<
lb
/>
fluat eodem tempore.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
figure
id
="
id.051.01.197.1.jpg
"
xlink:href
="
051/01/197/1.jpg
"
number
="
84
"/>
<
p
type
="
main
">
<
s
>SIt datum foramen AM, & hori
<
lb
/>
zontalis CD; ſitque deſcriben
<
lb
/>
dum foramen ſuper CD, è quo ef
<
lb
/>
fluat eodem ſeu æquali tempore, a
<
lb
/>
qua ut per AM. </
s
>
<
s
>Erigantur per
<
lb
/>
pendiculares AE, MC, & produ
<
lb
/>
catur DC in E, & ſuper EC fiat fo
<
lb
/>
ramen æquale foramini AM, & ſit
<
lb
/>
FC; & ducta FG parallela ipſi CD,
<
lb
/>
fiat HI media inter KB, & KE: & tandem fiat, ut HI ad KE,
<
lb
/>
ita DL ad EC. </
s
>
<
s
>Dico, foramen LG eſſe foramen quæſitum,
<
lb
/>
per quod æquali tempore fluat aqua ut per AM. </
s
>
<
s
>Quoniam e
<
lb
/>
nim, per Propoſit. 2. hujus Capitis, aqua foraminis LG ad a
<
lb
/>
quam foraminis FC, eſt ut DL ad CE, hoc eſt, HI, ad KE; &
<
lb
/>
per Propoſit. 5. hujus Capitis, aqua foraminis AM ad aquam
<
lb
/>
foraminis CF, eſt ut eadem HI, ad KE; erit ut aqua LG ad
<
lb
/>
CF, ita aqua AM ad CF, per undecimam Quinti Euclidis, ac
<
lb
/>
proinde aqua foraminis AM erit æqualis aquæ foraminis LG,
<
lb
/>
per nonam Quinti Euclid. & per 1. Axio. lib. 1. Euclid. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Annotatio.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
POteſt tamen horizontalis data eſſe tam vicina ſummitati vaſis, ut
<
lb
/>
quæſitum foramen ficri non poſſit, nec hoc, nec alio modo: & tunc
<
lb
/>
Problema eſt inſolubile.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Propoſitio XII. Problema VII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
Dato foramine, & latere alterius in eodem vaſe, reperi
<
lb
/>
re foramen, è quo æqualis aqua effluat.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>