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.

Having, in the close of my Treatise of the Mensuration of Running Waters promised to declare upon another occasion other particulars more obscure, and of very great concern upon the same argumement: I now do perform my promise on the occasion that I had the past year 1641. to propound my thoughts touching the state of the Lake of Venice, a business certainly most important, as being the concernment of that most noble and most admirable City; and indeed of all Italy, yea of all Europe, Asia, & Africa; & one may truly say of all the whole World. And being to proceed according to the method necessary in Sciences, I will propose, in the first place certain Definitions of those Terms whereof we are to make use in our Discourse: and then, laying down certain Principles we will demonstrate some Problemes and Theoremes necessary for the understanding of those things which we are to deliver; and moreover, recounting sundry cases that have happened, we will prove by practice, of what utility this contemplation of the Measure of Running Waters is in the more important affairs both Publique and Private.

DEFINITION I.

Two Rivers are said to move with equal velocity, when in equal times they passe spaces of equal length.

DEFINITION II.

Rivers are said to move with like velocity, when their proportional parts do move alike, that is, the upper parts alike to the upper, and the lower to the lower; so that if the upper part of one River shall be more swift than the upper part of another; then also the lower part of the former shall be more swift than the part correspondent to it in the second, proportionally.

DEFIDEFINITON

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