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

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1from the increaſing Lake, would not ſuffer it to increaſe in
height
: I ſay therefore, that if we would rightly conſider this
doubt
here propoſed, we ſhould, in the very conſideration of it,
ſee
it reſolved; for, it being ſuppoſed that that liſt or border of
Banks
which was to be occupied by the increaſe of the Lake, be
a
Brace in breadth quite round the Lake, and that by reaſon of
its
dryneſs it ſucks in water, and that by that means this propor­
tion
of water co-operates not in raiſing of the Lake: It is abſo­
lutely
neceſſary on the other hand, that we conſider, That the
Circuit
of the water of the Lake being thirty miles, as its com­
monly
held, that is to ſay, Ninety thouſand Braces of Florence
in
compaſs; and therefore admitting for true, that each Brace of
this
Bank drink two quarts of water, and that for the ſpieading
it
require three quarts more, we ſhall finde, that the whole agre­
gate
of this portion of water, which is not imployed in the raiſing
of
the Lake, will be four hundred and fifty thouſand Quarts of
water
; and ſuppoſing that the Lake be ſixty ſquare miles, three
thouſand
Braces long, we ſhall finde, that to diſpence the water
poſſeſt
by the Bank about the Lake, above the total ſurface of
the
Lake, it ought to be ſpread ſo thin, that one ſole quart of
water
may over-ſpread ten thouſand ſquare Braces of ſurface:
ſuch
a thinneſs, as muſt much exceed that of a leaf of beaten
Gold
, and alſo leſs than that skin of water which covers the Bub­
bles
of it: and ſuch would that be, which thoſe men would have
ſubſtracted
from the riſing of the Lake: But again, in the ſpace
of
a quarter of an hour at the beginning of the rain, all that
Bank
is ſoaked by the ſaid rain, ſo that we need not for the
moiſtning
of it, imploy a drop of that water which falleth into
the
Lake.
Beſides we have not brought to account that abun­
dance
of water which runs in time of rain into the Lake, from
the
ſteepneſs of the adjacent Hills and Mountains; which would
be
enough to ſupply all our occaſions: So that, neither ought
we
for this reaſon to queſtion our pretended riſing.
And this
is
what hath fallen in my way touching the conſideration of the
Thraſimenian Lake.

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