1ſquare and the greater is 23. Therefore the diverted water, is
to the whole water, as 23. to 144: which is well near as 1 to
6 6/23: and that is the proportion that the quantity of the water
which runneth through the Chanellet ſhall have, to all the water
that runneth thorow the great Chanel. Now if we ſhould finde
by the Rule mentioned above in the firſt Propoſition, that the
quantity of the water that runneth through the Chanellet, is
v. g. an hundred Barrels, in the ſpace of 15 ſecond minutes of
an hour, it is manifeſt, that the water which runneth through the
great Chanel in the ſaid time of 35 min. ſec. ſhall be about 600
Barrels.
to the whole water, as 23. to 144: which is well near as 1 to
6 6/23: and that is the proportion that the quantity of the water
which runneth through the Chanellet ſhall have, to all the water
that runneth thorow the great Chanel. Now if we ſhould finde
by the Rule mentioned above in the firſt Propoſition, that the
quantity of the water that runneth through the Chanellet, is
v. g. an hundred Barrels, in the ſpace of 15 ſecond minutes of
an hour, it is manifeſt, that the water which runneth through the
great Chanel in the ſaid time of 35 min. ſec. ſhall be about 600
Barrels.
The ſame operation performed another way.
And becauſe very often in applying the Theory to Practice
it happeneth, that all the neceſſary particulars in the The
ory cannot ſo eaſily be put in execution; therefore we will
here add another way of performing the ſame Problem, if it ſhould
chance to happen that the Chanellet could not commodiouſly be
diverted from the great Chanel, but that it were eaſier for the
water of another ſmaller Chanel to be brought into the greater
Chanel; which water of the ſmaller Chanel might be eaſily mea
ſured, as hath been ſhewen in the firſt Probleme; or in caſe that
there did fall into a greater Chanel, a leſſer Chanel that might
be diverted and meaſured. Therefore I ſay in the firſt caſe, If
we would meaſure the quantity of the water that runneth in a
certain time thorow the greater Chanel, into which another leſſer
Chanel that is meaſurable may be brought, we muſt firſt exactly
meaſure the Chanellet, and then obſerve the quick height of the
greater Chanel, before the introduction of the leſſer; and having
brought in the ſaid Chanellet, we muſt agnin find the propor
tion that the water of the Chanellet hath to all the water of the
great Ghanel; for theſe terms of the proportion being known, as
alſo the quantity of the water of the Chanellet, we ſhall alſo
come to know the quantity of the water that runneth thorow
the great Chanel. It is likewiſe manifeſt, that we ſhall obtain
our intent, if the caſe were that there entered into the great
Chanel, another leſſer Chanel that was meaſurable, and that
might be diverted.
it happeneth, that all the neceſſary particulars in the The
ory cannot ſo eaſily be put in execution; therefore we will
here add another way of performing the ſame Problem, if it ſhould
chance to happen that the Chanellet could not commodiouſly be
diverted from the great Chanel, but that it were eaſier for the
water of another ſmaller Chanel to be brought into the greater
Chanel; which water of the ſmaller Chanel might be eaſily mea
ſured, as hath been ſhewen in the firſt Probleme; or in caſe that
there did fall into a greater Chanel, a leſſer Chanel that might
be diverted and meaſured. Therefore I ſay in the firſt caſe, If
we would meaſure the quantity of the water that runneth in a
certain time thorow the greater Chanel, into which another leſſer
Chanel that is meaſurable may be brought, we muſt firſt exactly
meaſure the Chanellet, and then obſerve the quick height of the
greater Chanel, before the introduction of the leſſer; and having
brought in the ſaid Chanellet, we muſt agnin find the propor
tion that the water of the Chanellet hath to all the water of the
great Ghanel; for theſe terms of the proportion being known, as
alſo the quantity of the water of the Chanellet, we ſhall alſo
come to know the quantity of the water that runneth thorow
the great Chanel. It is likewiſe manifeſt, that we ſhall obtain
our intent, if the caſe were that there entered into the great
Chanel, another leſſer Chanel that was meaſurable, and that
might be diverted.
CONSIDERATION.
It would be neceſſary to make uſe of this Doctrine in the di
ſtribution of the waters that are imploy'd to overflow the fields,
as is uſed in the Breſciau, Cremoneſe, Bergamaſe, Lodigian, Mila-
ſtribution of the waters that are imploy'd to overflow the fields,
as is uſed in the Breſciau, Cremoneſe, Bergamaſe, Lodigian, Mila-