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
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 137
>
page
|<
<
of 137
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
068/01/030.jpg
"
pagenum
="
16
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
XIV.
<
lb
/>
<
arrow.to.target
n
="
marg965
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg965
"/>
*
<
emph
type
="
italics
"/>
Arteſia.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>In the Grand Rivers, which fall into the Sea, as here in
<
emph
type
="
italics
"/>
Italy
<
lb
/>
Po, Adige,
<
emph.end
type
="
italics
"/>
^{*} and
<
emph
type
="
italics
"/>
Arno,
<
emph.end
type
="
italics
"/>
which are armed with Banks againſt their
<
lb
/>
excreſcencies, its obſerved that far from the Sea, they need
<
lb
/>
Banks of a notable height; which height goeth afterwards by
<
lb
/>
degrees diminiſhing, the more it approacheth to the Sea-coaſts:
<
lb
/>
in ſuch ſort, that the P
<
emph
type
="
italics
"/>
o,
<
emph.end
type
="
italics
"/>
diſtant from the Sea about fifty or ſixty
<
lb
/>
miles at
<
emph
type
="
italics
"/>
Ferara,
<
emph.end
type
="
italics
"/>
ſhall have Banks that be above twenty feet
<
lb
/>
higher than the ordinary Water marks; but ten or twelve miles
<
lb
/>
from the Sea, the Banks are not twelve feet higher than the ſaid
<
lb
/>
ordinary Water-marks, though the breadth of the River be the
<
lb
/>
ſame, ſo that the excreſcence of the ſame Innundation happens
<
lb
/>
to be far greater in meaſure remote from the Sea, then near; and
<
lb
/>
yet it ſhould ſeem, that the ſame quantity of Water paſſing by
<
lb
/>
every piace, the River ſhould need to have the ſame altitude of
<
lb
/>
Banks in all places: But we by our Principles and fundamentals
<
lb
/>
may be able to render the reaſon of that effect, and ſay; That
<
lb
/>
that exceſſe of quantity of Water, above the ordinary Water,
<
lb
/>
goeth alwaies acquiring greater velocity; the nearer it approach
<
lb
/>
eth the Sea, and therefore decreaſeth in meaſure, and conſequenly
<
lb
/>
in height. </
s
>
<
s
>And this perhaps might have been the cauſe in great
<
lb
/>
part, why the
<
emph
type
="
italics
"/>
Tyber
<
emph.end
type
="
italics
"/>
in the Innundation
<
emph
type
="
italics
"/>
Anno
<
emph.end
type
="
italics
"/>
1578. iſſued not
<
lb
/>
forth of its Channel below
<
emph
type
="
italics
"/>
Rome
<
emph.end
type
="
italics
"/>
towards the Sea.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
XV.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>From the ſame Doctrine may be rendred a moſt manifeſt rea
<
lb
/>
ſon why the falling Waters go leſſening in their deſcent, ſo
<
lb
/>
that the ſame falling Water, meaſured at the beginning of
<
lb
/>
its fall, is greater, and bigger, and afterwards by degrees leſſeneth
<
lb
/>
in meaſure the more it is remote from the beginning of the fall.
<
lb
/>
</
s
>
<
s
>Which dependeth on no other, than on the acquiſition, which
<
lb
/>
it ſucceſſively makes of greater velocity; it being a moſt fami
<
lb
/>
liar concluſion among Philoſophers, that grave bodies falling,
<
lb
/>
the more they remove from the beginning of their motion, the
<
lb
/>
more they acquire of ſwiftneſſe; and therefore the Water, as a
<
lb
/>
grave body, falling, gradually velocitates, and therefore de
<
lb
/>
creaſeth in meaſure, and leſſeneth.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
XVI.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>And on the contrary, the ſpirtings of a Fountain of Water,
<
lb
/>
which ſpring on high, work a contrary effect; namely </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>