OF THE
MENSURATION
OF
Running Waters.
MENSURATION
OF
Running Waters.
Lib. II.
Having, in the cloſe of my Treatiſe of the
Menſuration of Running Waters promiſed
to declare upon another occaſion other par
ticulars more obſcure, and of very great
concern upon the ſame argumement: I now
do perform my promiſe on the occaſion
that I had the paſt year 1641. to propound
my thoughts touching the ſtate of the Lake
of Venice, a buſineſs certainly moſt important, as being the
concernment of that moſt noble and moſt admirable City; and
indeed of all Italy, yea of all Europe, Aſia, & Africa; & one may
truly ſay of all the whole World. And being to proceed according
to the method neceſſary in Sciences, I wil propoſe, in the firſt place
certain Definitions of thoſe Terms whereof we are to make uſe
in our Diſcourſe: and then, laying down certain Principles we
will demonſtrate ſome Problemes and Theoremes neceſſary for
the underſtanding of thoſe things which we are to deliver; and
moreover, recounting ſundry caſes that have happened, we will
prove by practice, of what utility this contemplation of the
Meaſure of Running Waters is in the more important affairs both
Publique and Private.
Menſuration of Running Waters promiſed
to declare upon another occaſion other par
ticulars more obſcure, and of very great
concern upon the ſame argumement: I now
do perform my promiſe on the occaſion
that I had the paſt year 1641. to propound
my thoughts touching the ſtate of the Lake
of Venice, a buſineſs certainly moſt important, as being the
concernment of that moſt noble and moſt admirable City; and
indeed of all Italy, yea of all Europe, Aſia, & Africa; & one may
truly ſay of all the whole World. And being to proceed according
to the method neceſſary in Sciences, I wil propoſe, in the firſt place
certain Definitions of thoſe Terms whereof we are to make uſe
in our Diſcourſe: and then, laying down certain Principles we
will demonſtrate ſome Problemes and Theoremes neceſſary for
the underſtanding of thoſe things which we are to deliver; and
moreover, recounting ſundry caſes that have happened, we will
prove by practice, of what utility this contemplation of the
Meaſure of Running Waters is in the more important affairs both
Publique and Private.
DEFINITION I.
Two Rivers are ſaid to move with equal velocity, when in e
qual times they paſſe ſpaces of equal length.
qual times they paſſe ſpaces of equal length.
DEFINITION II.
Rivers are ſaid to move with like velocity, when their propor
tional parts do move alike, that is, the upper parts alike to
the upper, and the lower to the lower; ſo that if the upper
part of one River ſhall be more ſwift than the upper part of ano
ther; then alſo the lower part of the former ſhall be more ſwift
than the part correſpondent to it in the ſecond, proportionally.
tional parts do move alike, that is, the upper parts alike to
the upper, and the lower to the lower; ſo that if the upper
part of one River ſhall be more ſwift than the upper part of ano
ther; then alſo the lower part of the former ſhall be more ſwift
than the part correſpondent to it in the ſecond, proportionally.
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