Mathematical Collections and Translations, in Two Tomes

MATHEMATICAL

Collections and Translations:

In two

TOMES.

MATHEMATICAL

COLLECTIONS

AND

TRANSLATIONS.

The FIRST

TOME.


THE FIRST PART.

Containing,

1. Galileus Galileus, His SYSTEME of the World.

II. Galileus, his EPISTLE to the GRAND DUTCHESSE Mother concerning the Authority of Sacred SCRIPTURE in Philosophical Controversies.

III. Johannes Keplerus, his Reconcilings of SCRIPTURE Texts, &c.

IV. Didacus a Stunica, his Reconcilings of SCRIPTURE Texts, &c.

V. P. A. Foscarinus, his Epistle to Father FANTONUS, reconciling the Authority of Sacred SCRIPTURE, and Judgments of Divines alledged against, &c.


By THOMAS SALUSBURY, Esq.


LONDON,
Printed by William Leybourne, MDCLXI.

THE

SYSTEME

OF THE

WORLD:

IN FOUR

DIALOGUES,

Wherein the Two

GRAND SYSTEMES

OF PTOLOMY and COPERNICUS

are largely discoursed of:

And the REASONS, both Phylosophical and Physical,
as well on the one side as the other, impartially
and indefinitely propounded:

By GALILEUS GALILEUS LINCEUS,
A Gentleman of FLORENCE: Extraordinary Professor of
the Mathematicks in the UNIVERSITY of PISA; and
Chief Mathematician to the GRAND DUKE of TUSCANY.


Englished from the Original Italian Copy, by THOMAS SALUSBURY.


Alcinous,
Δει δ? ελευθεριον εικα? τη γνωμη ?ν μελλ?ν?? φιλ?σοφειν.

Seneca,
Inter nullos magis quam inter PHILOSOPHOS esse debet æqua LIBERTAS.


LONDON,
Printed by WILLIAM LEYBOURNE MDCLXI.


To the most Serene Grand Duke

OF

TUSCANY.

Though the difference between Men and other living Creatures be very great, yet happly he that should say that he could shew little less between Man and Man would not speak more than he might prove. What proportion doth one bear to a thousand? and yet it is a common Proverb, One Man is worth a thousand, when as a thousand are not worth one. This difference hath dependence upon the different abilities of their Intellectuals; which I reduce to the being, or not being a Philosopher; in regard that Philosophy as being the proper food of such as live by it, distinguisheth a Man from the common Essence of the Vulgar in a more or less honourable degree according to the variety of that diet. In this sence he that hath the highest looks, is of highest quality; and the turning over of the great Volume of Nature, which is the proper Object of Philosophy is the way to make one look high: in which Book, although whatsoever we read, as being the Work of Almighty God, is therefore most proportionate; yet notwithstanding that is more absolute and noble wherein we more plainly deserne his art and skill. The Constitution of the Vnivers, among all Physical points that fall within Humane Comprehension, may, in my opinion, be preferred to the Precedency: for if that in regard of universal extent it excell all others, it ought as the Rule and Standard of the rest to goe before them in Nobility. Now if ever any persons might challenge to be signally distinguished for Intellectuals from other men, Ptolomey and Copernicus were they that have had the honour to see farthest into, and discourse most profoundly of the Worlds Systeme. About the Works of which famous Men these Dialous being chiefly conversant, I conceived it my duty to Dedicate them only to Your Highness. For laying all the weight upon these two, whom I hold to be the Ablest Wits that have left us their Works upon these Subjects; to avoid a Solecisme in Manners, I was obliged to address them to Him, who with me, is the Greatest of all Men, from whom they can receive either Glory or Patrociny. And if these two persons have so farre illuminated my Understanding as that this my Book may in a great part be confessed to belong to them, well may it also be acknowledged to belong to Your Highness, unto whose Bounteous Magnificence I owe the time and leasure I had to write it, as also unto Your Powerful Assistance, (never weary of honouring me) the means that at length I have had to publish it. May Your Highness therefore be pleased to accept of it according to Your accustomed Goodness; and if any thing shall be found therein, that may be subservient towards the information or satisfaction of those that are Lovers of Truth; let them acknowledge it to be due to Your Self, who are so expert in doing good, that Your Happy Dominion cannot shew the man that is concerned in any of those general Calamities that disturb the World; so that Praying for Your Prosperity, and continuance in this Your Pious and Laudable Custome, I humbly kiss Your Hands;

Your Most Serene Highnesses

Most Humble and most devoted

Servant and Subject

GALILEO GALILEI.

The CONTENTS of the FIRST

TOME.


PART THE FIRST.
Treatise I. GALILEUS GALILEUS, his Systeme of the World: in Four Dialogues.
II. His Epistle to her Serene Highnesse CHRISTIANA LOTHERINGA GRAND DUTCHESSE of TUSCANY, touching the Ancient and Modern Doctrine of holy Fathers, and Judicious Divines, concerning the Authority of sacred Scripture in phylosophical Controversies.
III. JOHANNES KEPLERUS, his Reconcilings of Texts of sacred scripture that seem to oppose the Doctrine of the Earths mobility: abstracted from his Introduction unto his learned Commentaries upon the Planet MARS.
IV. DIDACUS a STUNICA, a learned Spanish divine, his Reconcilings of the said Doctrine with the Texts of sacred Scripture; abstracted from his Commentarie upon JOB.
V. PAULUS ANTONIUS FOSCARINUS, a Carmelite, his Epistle to SEBASTIANUS FANTONUS, the General of his Order, concerning the Pythagorean and Copernican Opinion of the mobility of the Earth, and stability of the Sun; and of the new Systeme or constitution of the World: in which he reconcileth the Texts of sacred Scripture, and Assertions of Divines, commonly alledged against this Opinion.
A Table of the most observable Persons and Matters mentioned in the First Part.
PART THE SECOND.
I. D. BENEDICTUS CASTELLUS, Abbot of S. Benedictus Aloysius, his Discourse of the mensuration of Running Waters: The First Book.
II. His Letter to GALILEUS, representing the state of the Lake of Perugia in Tuscany.
III. His geometrical demonstrations of the Measure of Running Waters.
IV. His Discourse of the mensuration of Running Waters: The Second Book.
V. His Considerations concerning the Lake of Venice. In two discourses.
VI. His Rule for computing the quantity of mud and sand that Land-Floods bring down to, and leave in the Lake of VENICE.
VII. His Letter to Father FRANCESCO di S. GIVSEPPE, wherein, at the instance of PRINCE LEOPALDO, he delivereth his judgment concerning the turning Fiume Morto (a River near Pisa in Tuscany) into the Sea, and into the River Serchio.
VIII. His second Letter in answer to certain Objections proposed, and Difficulties observed by Signore BARTOLOTTI, in that affair of the Diversion of Fiume Morto.
IX. His Consideration upon the draining of the pontine Fenns in CALABRIA.
X. His Consideration upon the Draining of the Territories of BOLOGNA, FERRARA, and ROMAGNA.
XI. His Letter to D. FERRANTE CESARINI, applying his Doctrine to the mensuration of the length, and distribution of the quantity of the Waters of Rivers, Springs, Aqueducts, &c.
XII. D. CORSINUS, Superintendent of the general drains, and President of ROMAGNA, his Relation of the state of the Waters in the Territories of BOLOGNA and FERRARA.
A Table of the most observable Persons and Matters mentioned in the Second Part.

The CONTENTS of the SECOND

TOME.


PART THE FIRST.
Treatise I. GALILEUS GALILEUS, his mathematical discourses and Demonstratioms touching two new Sciences, pertaining to the Mechanicks, and local motion: with an Appendix of the Centre of gravity of some solids in Four dialogues.
Treatise II. His MECHANICKS; a New Peice.
Treatise III. RHENATUS Des CARTES, his Mechanicks; translated from his French manuscript; a New Peice.
Treatise IV. ARCHIMEDES, his Tract De Insidentibus Humido; with the Notes and Demonstrasions of NICOLAUS TARTALEUS, in Two Books.
Treatise V. GALILEUS his Discourse of the things that move in or upon the Water.
Treatise VI. NICOLAUS TARTALEUS his Inventions for Diving under Water, Raising of Ships sunk, &c. in Two Books.
PART THE SECOND.
Treatise I. EVANGELISTA TORRICELLIUS, his Doctrine of Projects, and Tables of the Ranges of Great Gunns of all sorts; wherein he detects sundry Errors in Gunnery: An Epitome.
Treatise II. T. S. his Experiments of the comparative Gravity of Bodies in the Aire and Water.
Treatise III. GALILEUS GALILEUS, his Life: in Five Books,
Book I. Containing Five Chapters.
Book I. Chap. 1. His Country.
Book I. Chap. 2. His Parents and Extraction.
Book I. Chap. 3. His time of Birth.
Book I. Chap. 4. His first Education.
Book I. Chap. 5. His Masters.
Book II. Containing Three Chapters.
Book II. Chap. 1. His judgment in several Learnings.
Book II. Chap. 2. His Opinions and Doctrine.
Book II. Chap. 3. His Auditors and Scholars.
Book III. Containing Four Chapters.
Book III. Chap. 1. His behaviour in Civil Affairs.
Book III. Chap. 2. His manner of Living.
Book III. Chap. 3. His morall Virtues.
Book III. Chap. 4. His misfortunes and troubles.
Book IV. Containing Four Chapters.
Book IV. Chap. 1. His person described.
Book IV. Chap. 2. His Will and Death.
Book IV. Chap. 3. His Inventions.
Book IV. Chap. 4. His Writings.
Book IV. Chap. 5. His Dialogues of the Systeme in particular, containing Nine Sections.
Book IV. Chap. 5. Section 1. Of Astronomy in General; its Definition, Praise, Original.
Book IV. Chap. 5. Section 2. Of Astronomers: a Chronological Catalogue of the most famous of them.
Book IV. Chap. 5. Section 3. Of the Doctrine of the Earths Mobility, &c. its Antiquity, and Progresse from Pythagoras to the time of Copernicus.
Book IV. Chap. 5. Section 4. Of the Followers of Copernicus, unto the time of Galileus.
Book IV. Chap. 5. Section 5. Of the severall Systemes amongst Astronomers.
Book IV. Chap. 5. Section 6. Of the Allegations against the Copern. Systeme, in 77 Arguments taken out of Ricciolo, with Answers to them.
Book IV. Chap. 5. Section 7. Of the Allegations for the Copern. Systeme in 50 Arguments.
Book IV. Chap. 5. Section 8. Of the Scriptures Authorities produced against and for the Earths mobility.
Book IV. Chap. 5. Section 9. The Conclusion of the whole Chapter.
Book V. Containing Four Chapters.
Book V. Chap. 1. His Patrons, Friends, and Emulators.
Book V. Chap. 2. Authors judgments of him.
Book V. Chap. 3. Authors that have writ for, or against him.
Book V. Chap. 4. A Conclusion in certain Reflections upon his whole Life.
Book V. Chap 4.. A Table of the whole Second Tome.


This work was published before January 1, 1930, and is in the public domain worldwide because the author died at least 100 years ago.

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