Castelli, Benedetto
,
Of the mensuration of running waters
,
1661
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 137
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
068/01/061.jpg
"
pagenum
="
47
"/>
<
p
type
="
head
">
<
s
>OF THE
<
lb
/>
MENSURATION
<
lb
/>
OF
<
lb
/>
Running Waters.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
Lib.
<
emph.end
type
="
italics
"/>
II.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Having, in the cloſe of my Treatiſe of the
<
lb
/>
Menſuration of Running Waters promiſed
<
lb
/>
to declare upon another occaſion other par
<
lb
/>
ticulars more obſcure, and of very great
<
lb
/>
concern upon the ſame argumement: I now
<
lb
/>
do perform my promiſe on the occaſion
<
lb
/>
that I had the paſt year 1641. to propound
<
lb
/>
my thoughts touching the ſtate of the Lake
<
lb
/>
of
<
emph
type
="
italics
"/>
Venice,
<
emph.end
type
="
italics
"/>
a buſineſs certainly moſt important, as being the
<
lb
/>
concernment of that moſt noble and moſt admirable City; and
<
lb
/>
indeed of all
<
emph
type
="
italics
"/>
Italy,
<
emph.end
type
="
italics
"/>
yea of all
<
emph
type
="
italics
"/>
Europe, Aſia, & Africa
<
emph.end
type
="
italics
"/>
; & one may
<
lb
/>
truly ſay of all the whole World. </
s
>
<
s
>And being to proceed according
<
lb
/>
to the method neceſſary in Sciences, I wil propoſe, in the firſt place
<
lb
/>
certain Definitions of thoſe Terms whereof we are to make uſe
<
lb
/>
in our Diſcourſe: and then, laying down certain Principles we
<
lb
/>
will demonſtrate ſome Problemes and Theoremes neceſſary for
<
lb
/>
the underſtanding of thoſe things which we are to deliver; and
<
lb
/>
moreover, recounting ſundry caſes that have happened, we will
<
lb
/>
prove by practice, of what utility this contemplation of the
<
lb
/>
Meaſure of Running Waters is in the more important affairs both
<
lb
/>
Publique and Private.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>DEFINITION I.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Two Rivers are ſaid to move with equal velocity, when in e
<
lb
/>
qual times they paſſe ſpaces of equal length.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>DEFINITION II.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Rivers are ſaid to move with like velocity, when their propor
<
lb
/>
tional parts do move alike, that is, the upper parts alike to
<
lb
/>
the upper, and the lower to the lower; ſo that if the upper
<
lb
/>
part of one River ſhall be more ſwift than the upper part of ano
<
lb
/>
ther; then alſo the lower part of the former ſhall be more ſwift
<
lb
/>
than the part correſpondent to it in the ſecond, proportionally.</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>