Castelli, Benedetto
,
Of the mensuration of running waters
,
1661
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 137
>
Scan
Original
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 137
>
page
|<
<
of 137
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
068/01/072.jpg
"
pagenum
="
58
"/>
which may be made in little, in great, or in very great; of
<
lb
/>
which I make uſe frequently, to the admiration of ſuch as ſee it.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>I prepared an hundred Siphons, or, if you will, bowed Pipes,
<
lb
/>
all equal; and placed them at the brim of a Veſſel, wherein the
<
lb
/>
water is kept at one and the ſame level (whether all the Syphons
<
lb
/>
work, or but a certain number of them) the mouths by which
<
lb
/>
the water iſſueth being all placed in the ſame level, parallel to
<
lb
/>
the Horizon; but lower in level than the water in the Veſſel; and
<
lb
/>
gathered all the water falling from the Syphons into another
<
lb
/>
Veſſel ſtanding lower than the former, I made it to run away
<
lb
/>
thorow a Chanel, in ſuch manner inclined, that wanting water
<
lb
/>
from the Syphons, the ſaid Chanel remained quite dry.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>And this done, I meaſured the quick height of the Chanel
<
lb
/>
with care, and afterwards divided it exactly into 10 equal parts,
<
lb
/>
and cauſing 19. of thoſe Syphons to be taken away, ſo that the
<
lb
/>
Chanel did not run water, ſave onely with 81 of thoſe Syphons,
<
lb
/>
I again obſerved the quick height of the water in the ſame ſite
<
lb
/>
obſerved before, and found that its height was diminiſhed pre
<
lb
/>
ciſely the tenth part of all its firſt height; and thus continuing to
<
lb
/>
take away 17. other Syphons, the height was likewiſe diminiſh
<
lb
/>
ed 1/1. of all its firſt quick height; and trying to take away 15.
<
lb
/>
Syphons, then 13, then 11, then 9, then 7, then 5, and then 3.
<
lb
/>
alwaies in theſe diverſions, made in order as hath been ſaid, there
<
lb
/>
enſued ſtill an abatement of 1/1. of the whole height.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>And here was one thing worthy of obſervation, that the water
<
lb
/>
encreaſing in [
<
emph
type
="
italics
"/>
or through
<
emph.end
type
="
italics
"/>
] the Chanel, its quick height was diffe
<
lb
/>
rent in different ſites of the Chanel, that is ſtill leſſer, the more
<
lb
/>
one approached to the Out-let; notwithſtanding which the abate
<
lb
/>
ment followed in all places proportionably, that is in all its ſites
<
lb
/>
the firſt part of the height of that ſite diminiſhed: And more
<
lb
/>
over the water iſſued from the Chanel, and dilated into a broader
<
lb
/>
courſe, from which likewiſe having divers Out-lets and Mouths;
<
lb
/>
yet nevertheleſs in that breadth alſo the quick heights ſucceſſive
<
lb
/>
ly varied and altered in the ſame proportions. </
s
>
<
s
>Nor did I here
<
lb
/>
deſiſt my obſervation, but the water being diminiſhed, that iſſu
<
lb
/>
ed from the Syphons, and there being but one of them left that
<
lb
/>
diſcharged water; I obſerved the quick height that it made in the
<
lb
/>
above-ſaid ſites, (the which was likewiſe 1/1. of all the firſt height)
<
lb
/>
there being added to the water of that Syphon, the water of
<
lb
/>
three other Syphons; ſo that all the water was of 4 Syphons,
<
lb
/>
and conſequently quadruple to the firſt Syphon; but the quick
<
lb
/>
height was onely double, and adding five Siphons, the quick
<
lb
/>
height became triple, and with adding ſeven Syphons, the height
<
lb
/>
increaſed quadruple; and ſo by adding of 9. it increaſed quin
<
lb
/>
tuple, and by adding of 11. it increaſed ſextuple, and by ad</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>