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.

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

   
Arist, preferres Sense before Ratiocination. 42
Aristotle affirmeth the Heavens alterable, rather then otherwise, by his Doctrine. 42
Requifites to fit a man to Philosophate well in the way of Aristotle. 92
Some of Aristotles Sectators impaire his Reputation, in going about to enhanse it. 93
The servile Spirit of some of Arist. followers. 95
Too close an adherence to Aristotle is blameable. 95
Aristotle and Ptolomy argue against the Diurnal Motion ascribed to the Earth. 97
A Proposition that Aristotle filched from the Ancients, and somewhat altered. 99
Aristotle his Arguments for the Earths Quiescence and Immobility. 107
Aristotle were he alive, would either refute his Adversaries Arguments, or else would alter his Opinion. 113
Aristotles first Argument against the Earths Motion, is defective in two things. 121
The Paralogisme of Aristotle and Ptolomy in supposing that for known, which is in question. 121
Aristotle admitteth that the Fire moveth directly upwards by Nature, and round about, by Participation. 122
Aristotle and Ptolomy seem to confute the Earths Mobility against those who think that it, having along time stood still, began to move in the time of Pythagoras. 168
Aristotle his errour in affirming falling Grave Bodies to move according to the proportion of their gravities. 199
Aristotle his Demonstrations to prove the Earth is finite, are all nullified, by denying it to be moveable. 294
Aristotle maketh that Point to be the Centre of the Universe, about which all the Celestial Spheres do revolve 294
A question is put, if Arist. were forced to receive one of two Propositions, that make against his Doctrine, which he would admit. 294
Aristotle his Argument against the Ancients, who held that the Earth was a Planet. 344
Aristotle taxeth Plato of being over-studious of Geometry. 361
Aristotle holdeth those Effects to be miraculous, of which the Causes are unknown. 384
ASTRONOMERS.
Astronomers confuted by Anti-Tycho. 38
The principal Scope of Astronomers is to give a reason of Appearances and Phænomena. 308
Actronomers all agree that the greater Magnitudes of the Orbes is the cause of the tardity in their Conversions. 331
Astronomers perhaps have not known what Appearances ought to follow, upon the Annual Motion of the Earth. 338
Actronomers having omitted to instance what alterations those are, that may be derived from the Annual Motion of the Earth, do thereby testifie that they never rightly understood the same. 343
ASTRONOMICAL.
Astronomical Observations wrested by Anti-Tycho to his own purpose. 39
Actronomical Instruments are very subject to errour. 262
ASTRONOMY.
Astronomy restored by Copernicus upon the Suppositions of Ptolomy 308
Many things may remain as yet unobserved in Astronomy 415
AUCUPATORIAN.
An Aucupatorian Problem for shooting of Birds flying. 157
AXIOME, or Axiomes.
In the Axiome, Frustra fit per plura, &c. the addition of æquœ bene is superfluous. 106
Three Axiomes that are supposed manifest. 230
Certain Axiomes commonly admitted by all Philosophers. 361
B
BODY and Bodies.
Contraries that corrupt, reside not in the same Body that corrupteth. 30
GRAVE BODY; If the Celestial Globe were perforated, a Grave Body descending by that Bore, would passe and ascend as far beyond the Centre, as it did descend. 203
The motion of Grave Bodies, Vide Motion.
The Accelleration of Grave Bodies that descend naturally, increaseth from moment to moment. 205
We know no more who moveth Grave Bodiesdownwards, than who moveth the Stars round; nor know we any thing of these trudes Courses  Image Size: 240x320 480x640 
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