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

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1fidered, beſides the meaſure, the velocity alſo of the Water;
which particular not being thorowly obſerved, is the cauſe of
continual miſcariages in ſuch like affairs.
APPENDIX VI.
Like conſideration ought to be had with the greater diligence,
for that an errour therein is more prejudicial; I ſay, ought to
be had by thoſe which part and divide Waters; for the
watering of fields, as is done in the Territories of Breſcia, Ber­
gama, Crema, Pavia, Lodigiano, Cremona, and other places:
For if they have not regard to the moſt important point of the
variation of the velocity of the Water, but onely to the bare
Vulgar meaſure, there will alwaies very great diſorders and pre­
judices enſue to the perſons concerned.
APPENDIX VII.
It ſeemeth that one may obſerve, that whilſt the Water run­
neth along a Channel, Current, or Conduit, its velocity is
retarded, withheld, and impeded by its touching the Bank or
ſide of the ſaid Channel or Current; which, as immoveable, not
following the motion of the Water, interrupteth its velocity:
From which particular, being true, as I believe it to be moſt
true, and from our conſiderations, we have an occaſion of diſ­
covering a very nice miſtake, into which thoſe commonly fall
who divide the Waters of Fountains.
Which diviſion is wont
to be, by what I have ſeen here in Rome, performed two wayes;
The firſt of which is with the meaſures of like figures, as Cir­
cles, or Squares, having cut through a Plate of metal ſeveral
Circles or Squares, one of half an inch, another of one inch,
another of two, of three, of four, &c. with which they after­
wards adjuſt the Cocks to diſpence the Waters.
The other
manner of dividing the Waters of Fountains, is with rectangle
paralellograms, of the ſame height, but of different Baſes, in ſuch
ſort likewiſe, that one paralellogram be of half an inch, another
of one, two, three, &c. In which manner of meaſuring and
dividing the Water, it ſhould ſeem that the Cocks being placed
in one and the ſame plain, equidiſtant from the level, or ſuperior
ſuperficies of the water of the Well; and the ſaid meaſures be­
ing moſt exactly made, the Water ought conſequently alſo to
be equally divided, and parted according to the proportion of
the meaſures.
But if we well conſider every particular, we ſhall
finde, that the Cocks, as they ſucceſſively are greater, diſcharge
alwaies more Water than the juſt quantity, in compariſon of

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