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

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1
OF THE
MENSURATION
OF
Running Waters.
SUPPOSITION I.
Let it be ſuppoſed, that the banks of the Rivers of which
we ſpeak be erected perpendicular to the plane of the up­
per ſuperficies of the River.
SUPPOSITION II.
We ſuppoſe that the plane of the bottome of the River, of
which we ſpeak is at right angles with the banks.
SUPPOSITION III.
It is to be ſuppoſed, that we ſpeak of Rivers, when they are at
ebbe, in that ſtate of ſhallowneſſe, or at flowing in that ſtate
of deepneſſe, and not in their tranſition from the ebbe to the
flowing, or fr m the flowing to the ebbe.
Declaration of Termes.
FIRST.
If a River ſhall be cut by a Plane at right angles to the ſurface
of the water of the River, and to the banks of the River,
that ſame dividing Plane we call the Section of the River; and
this Section, by the Suppoſitions above, ſhall be a right angled
Parallelogram.
SECOND.
We call thoſe Sections equally Swift, by which the water runs
with equal velocity; and more ſwift and leſs ſwift that
Section of another, by which the water runs with greater or leſſe
velocity.

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