Mathematical Collections and Translations: The First Tome

Mathematical Collections and Translations: The First Tome

Linda Hall Library Collection Table of Contents

To the most Serene Grand DUKE OF TUSCANY.

To the Noble and most perfectly Accomplished S^{t.} JOHN DENHAM Knight of the Noble Order of the BATH, And Surveyor General of his Ma^{ties} Works, &c.

THE AUTHOR'S INTRODUCTION.

CONTENTS of the FIRST TOME.

GALILÆUS Galilæus Lyncæus, HIS SYSTEME OF THE WORLD.
  The First Dialogue.
  The Second Dialogue.
  The Third Dialogue.
  The Fourth Dialogue.

THE Ancient and Modern DOCTRINE OF Holy Fathers, AND Iudicious Divines,

A TABLE Of the most Observable PERSONS and MATTERS Mentioned in the FIRST PART Of The First Tome.

MATHEMATICAL COLLECTIONS AND TRANSLATIONS: THE SECOND TOME.

THE AUTHOURS EPISTLE TO Pope URBAN VIII.

AN ACCOUNT OF THE Authour and Work.

OF THE MENSURATION OF Running Waters.
LIB. I.
Lib. II.

A CONSIDERATION Upon the DRAINING OF THE Pontine Fenns.

A TABLE Of the most observable matters in this Treatise of the MENSURATION of RUNNING WATERS.

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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