Mathematical Collections and Translations: The First Tome

Mathematical Collections and Translations: The First Tome

Electronic edition published by Cultural Heritage Langauge Technologies and funded by the National Science Foundation International Digital Library Program. This text has been proofread to a medium degree of accuracy. It was converted to electronic form using data entry.

# OF THE MENSURATION OF Running Waters.

## Lib. II.

III.

To measure a River, or running Water, is in our sense to finde out how many determinate measures, or weights of Water in a given time passeth through the River, or Channel of the Water that is to be measured.

DEFINITION IV.

If a Machine be made either of Brick, or of Stone, or of Wood, so composed that two sides of the said Machine be placed at right angles upon the ends of a third side, that is supposed to be placed in the bottom of a River, parallel to the Horizon, in such a manner, that all the water which runneth through the said River, passeth thorow the said Machine: And if all the water coming to be diverted that runneth through the said River, the upper superficies of that third side placed in the bottom do remain uncovered and dry, and that the dead water be not above it; This same Machine shall be
 * Or Sluice.
called by us ^{*} REGULATOR: And that third side of the Machine which standeth Horizontally is called the bottom of the Regulator; and the other two sides, are called the banks of the Regulator; as is seen in this first Figure: A B C D, shall be the Regulator; B C the bottom; and the other two sides A B, and C D are its banks.

DEFINITION V.

By the quick height, we mean the Perpendicular from the upper superficies of the River, unto the upper superficies of the bottom of the Regulator; as in the foregoing Figure the line. G H.

DEFINITION VI.

If the water of a River be supposed to be marked by three sides of a Regulator, that Rightangled Parallelogram comprehended between the banks of the Regulator, and the bottom, and the superficies of the Water is called a Section of the River.

ANNOTAANNOTATION.

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