# The Usefulness of Mathematical learning explained and demonstrated

- Publisher: s.n.(London), 1734

## Access Full Book

top## Book Parts

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*FIGURE:*Isaac Barrow.Access to Book Part -
*TABLE OF CONTENTS:*The Contents.Access to Book Part -
*ERRATA:*Errata.Access to Book Part -
*CHAPTER:*The Prefatory Oration.Access to Book Part -
*CHAPTER:*Lecture I. Of the Name and General Division of the Mathematical Sciences.Access to Book Part -
*CHAPTER:*Lecture II. Of the particular Division of the Mathematical Sciences.Access to Book Part -
*CHAPTER:*Lecture III. Of the Identity of Arithmetic and Geometry.Access to Book Part -
*CHAPTER:*Lecture IV. Of the Unfitness of the common Division of Mathematics into Speculative and Practical, and of the Excellence of Mathematical Demonstration.Access to Book Part -
*CHAPTER:*Lecture V. Containing Answers to the Objections which are usually brought against Mathematical Demonstration.Access to Book Part -
*CHAPTER:*Lecture VI. On the Causality of Mathematical Demonstration.Access to Book Part -
*CHAPTER:*Lecture VII. Of the Nature of First Principles.Access to Book Part -
*CHAPTER:*Lecture VIII. Of the Division of First Principles.Access to Book Part -
*CHAPTER:*Lecture IX. Of the Termination, Extension, Composition and Divisibility of Magnitudes.Access to Book Part -
*CHAPTER:*Lecture X. Of Space and Impenetrability.Access to Book Part -
*CHAPTER:*Lecture XI. Of the Congruity and Equality of Magnitudes.Access to Book Part -
*CHAPTER:*Lecture XII. An Examination of the Objections brought by Proclus etc.Access to Book Part -
*CHAPTER:*Lecture XIII. Of the erroneous comment of Proclus and others on the eighth Axiom of the first Element etc.Access to Book Part -
*CHAPTER:*Lecture XIV. On the different Acceptations of the Word Measure.Access to Book Part -
*CHAPTER:*Lecture XV. Of the Acceptation of the Word paronymous to Measure. Mensurability, Mensuration, Commensurability and Incommensurability.Access to Book Part -
*CHAPTER:*Lecture XVI. Of the Homogeneity and Heterogeneity of Quantites.Access to Book Part -
*CHAPTER:*Lecture XVII. Of the Names and Diversities of the twofold Kind of Reason or Proportion. Arithmetical and Geometrical.Access to Book Part -
*CHAPTER:*Lecutre XVIII. A Defence of Euclid's Definition of Reason or Proportion.Access to Book Part -
*CHAPTER:*Lecture XIX. Of the Species and Differences of Geometrical Reason.Access to Book Part -
*CHAPTER:*Lecture XX. That Reasons are not Quantities.Access to Book Part -
*CHAPTER:*Lecture XXI. A Defence of Euclid's Definition of Proportionals in his fith BookAccess to Book Part -
*CHAPTER:*Lecture XXII. An Answer of the Objectious against Euclid's Definition of Proportionals.Access to Book Part -
*CHAPTER:*Lecture XXIII. An Answer to Borellus's Objections and of the Insufficiency of the Definitions of Proportionality which are substituted in the Room of Euclid's.Access to Book Part -
*FIGURE:*Fig. 1-11.Access to Book Part -
*INDEX:*Index of the Principal Matters Contained in this Work.Access to Book Part -
*INDEX:*Names Made Use of in this Work.Access to Book Part

## How to cite

topBarrow, Isaac. The Usefulness of Mathematical learning explained and demonstrated. London: s.n., 1734. <http://eudml.org/doc/203886>.

@book{Barrow1734,

author = {Barrow, Isaac},

language = {eng},

location = {London},

publisher = {s.n.},

title = {The Usefulness of Mathematical learning explained and demonstrated},

url = {http://eudml.org/doc/203886},

year = {1734},

}

TY - BOOK

AU - Barrow, Isaac

TI - The Usefulness of Mathematical learning explained and demonstrated

PY - 1734

CY - London

PB - s.n.

LA - eng

UR - http://eudml.org/doc/203886

ER -

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