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

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1miliar Problems, from which we ſhall paſs to the Notions and
queſtions more ſubtil and curious; which will alſo prove profi­
table, and not to be ſleighted in this buſineſs of Waters.
PROPOSITION I. PROBLEME I.
Achanel of Running-Water being given, the breadth
of which paſsing through a Regulator, is three
Palms; and the height one Palm, little more or
leſs, to meaſure what water paſſeth through the
Regulator in a time given.
Firſt, we are to dam up the Chanel; ſo that there paſs not any
water below the Dam; then we muſt place in the ſide of the
Chanel, in the parts above the Regulator three, or four, or five
Bent-pipes, or Syphons, according to the quantity of the water
that runneth along the Chanel; in ſuch ſort, as that they may
drink up, or draw out of the Chanel all the water that the Cha­
nel beareth (and then ſhall we know that the Syphons drink up
all the water, when we ſee that the water at the Dam doth nei­
ther riſe higher, nor abate, but alwaies keepeth in the ſame Le­
vel.) Theſe things being prepared, taking the Inſtrument to
meaſure the time, we will examine the quantity of the water that
iſſueth by one of thoſe Syphons in the ſpace of twenty vibrations,
and the like will we do one by one with the other Syphons; and
then collecting the whole ſumme, we will ſay, that ſo much is
the water that paſſeth and runneth thorow the Regulator or
Chanel (the Dam being taken away) in the ſpace of twenty ſe­
cond minutes of an hour; and calculating, we may eaſily reduce
it to hours, dayes, months, and years: And it hath fallen to my
turn to meaſure this way the waters of Mills and Fountains, and I
have been well aſſured of its exactneſs, by often repeating the
ſame work.
CONSIDERATION.
And this method muſt be made uſe of in meaſuring the waters,
that we are to bring into Conducts, and carry into Cities
and Caſtles, for Fountains; and that we may be able afterwards
to divide and ſhare them to particular perſons juſtly; which will
prevent infinite ſuits and controverſies that every day happen in
theſe matters..

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