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

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1ſhould maintain themſelves the ſame in Tiber, which by his leave,
is moſt falſe, when ever thoſe waters reduced into Tiber, retain
not the ſame velocity which they had in the place in which Fon­
tana and his Nephew meaſured them: And all this is manifeſt
from the things which we have above explained; for, if the Wa­
ters reduced into Tiber increaſe in velocity, they decreaſe in mea­
ſure; and if they decreaſe in velocity, they increaſe in mea­
ſure.
Secondly, I conſider that the meaſures of thoſe Brooks and
Rivers, which enter into Tiber at the time of Innundation, are
not between themſelves really the ſame, when their velocities are
not equal, though they have the ſame names of Ells and Feet;
for that its poſſible that a diſinboguement of ten Ells requadrated
(to ſpeak in the phraſe of Fontana) of one of thoſe Brooks,
might diſcharge into Tiber at the time of Innundation, four, ten,
and twenty times leſs Water, than another mouth equal to the
firſt in greatneſs, as would occur when the firſt mouth were four,
ten, or twenty times leſs ſwift than the ſecond.
Whereupon,
whilſt Fontana ſummes up the Ells and Feet of the meaſures of
thoſe Brooks and Rivers into a total aggregate, he commits the
ſame error with him, which would add into one ſumme diverſe
moneys of diverſe values, and diverſe places, but that had the
ſame name; as if one ſhould ſay ten Crowns of Roman money,
four Crowns of Gold, thirteen Crowns of Florence, five Growns
of Venice, and eight Crowns of Mantua, ſhould make the ſame
ſumme with forty Crowns of Gold, or forty Crowns of Mantua.
Thirdly, It might happen that ſome River or Current in the
parts nearer Rome, in the time of its flowing, did not ſend forth
more Water than ordinary; and however, its a thing very clear,
that whilſt the ſtream came from the ſuperior parts, that ſame
Brook or River would be augmented in meaſure, as hath been
noted in the fourth Corollary; in ſuch ſort, that Fontana might
have inculcated, and noted that ſame River or Current as con­
curring to the Innundation, although it were therein altogether
unconcerned.
Moreover, in the fourth place we muſt note, That it might
ſo fall out, that ſuch a River not onely was unintereſſed in the
Innundation, though augmented in meaſure, but it might I ſay
happen, that it was inſtrumental to the aſſwaging the Innunda­
tion, by augmenting in the meaſure of its own Channel; which
matter is ſufficiently evident; for if it be ſuppoſed that the Ri­
ver in the time of flood, had not had of it ſelf, and from its pro­
per ſprings more Water than ordinary, its a thing certain, that
the Water of Tiber riſing and increaſing; alſo that River, to le­
vel it ſelf with the Water of Tiber, would have retained ſome of

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