Castelli, Benedetto, Of the mensuration of running waters, 1661

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1much as it ran before; ſo that when the water ſhall be quadru­
ple
, the height ſhall be double; and if the water were centuple,
the
height would be decuple onely, and ſo from one quantity
to
another: And on the contrary, in the Diverſions; If of the
100
. parts of water that run thorow a River, there ſhall be di­
verted
19/160, the height of the River diminiſheth onely 1/10, and con­
tinuing
to divert 17/100, the height of the River abateth likewiſe 1/10,
and
ſo proceeding to divert 15/100 and then 13/100, and then 11/100, and
then
9/100, and then 7/100, and then 5/100, and then 3/106, alwaies by
each
of theſe diverſions, the height of the Running Water di­
miniſheth
the tenth part: although that the diverſions be ſo une.
qual. Reflecting I ſay upon this infallible Truth, I have had a
conceit
, that though the Reno and other Rivers were diverted
from
the Valleyes, and there was onely left the Chanel of Navi­
gation
, which was onely the 1/20 part of the whole water that fal­
leth
into the Valleys; yet nevertheleſs, the water in thoſe ſame
Valleyes
would retain a tenth part of that height that became
conjoyned
by the concourſe of all the Rivers: And therefore I
ſhould
think that it were the beſt reſolution to maintain the Gha­
nel
of Navigation (if it were poſſible) continuate unto the Po of
Ferrara, and from thence to carry it into the Po of Volano; for
beſides
that it would be of very great eaſe in the Navigation of
Bologna, and Ferrara, the ſaid water would render the Po oſ
Volano navigable as far as to the very Walls of Ferrara, and con­
ſequently
the Navigation would be continuate from Bologna to
the
Sea-ſide.

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