Castelli, Benedetto - Of the mensuration of running waters

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AXIOME I.

Sections equal, and equally ſwift, diſcharge equal quantities
of Water in equal times.

AXIOME II.

Sections equally ſwift, and that diſcharge equal quantity of
Water, in equal time, ſhall be equal.

AXIOME III.

Sections equal, and that diſcharge equal quantities of Water
in equal times, ſhall be equally ſwift.

AXIOME IV.

When Sections are unequal, but equally ſwift, the quanti
ty of the Water that paſſeth through the firſt Section,
ſhall have the ſame proportion to the quantity that paſ
ſeth through the Second, that the firſt Section hath to the ſecond
Section. Which is manifeſt, becauſe the velocity being the
ſame, the difference of the Water that paſſeth ſhall be according
to the difference of the Sections.

AXIOME V.

If the Sections ſhall be equal, and of unequal velocity, the
quantity of the Water that paſſeth through the firſt, ſhall
have the ſame proportion to that which paſſeth through the
ſecond, that the velocity of the firſt Section, ſhall have to the
velocity of the ſecond Section. Which alſo is manifeſt, becauſe
the Sections being equal, the difference of the Water which
paſſeth, dependeth on the velocity.

PETITION.

A Section of a River being given, we may ſuppoſe another
equal to the given, of different breadth, heigth, and ve
locity.

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