The Method of

Fluxions and

Infinite SeriesWith Its Application to the

Geometry of Curve-Lines

Fluxions and

Infinite SeriesWith Its Application to the

Geometry of Curve-Lines

Now from hence the tell of our Author's Conclufions, in the flame Lemma, may be thus derived fomething more explicite'ly. The Moment of the Rectangle AB being found to be ab-i-db, when the contemporary Moments of A and B are reprefented by a and 6 'retpe'é'tivdy make B A, and therefore b a, and then the Moment of A x A, or A5; will be Arz 4a, or zaa. Again, make B -a4, and therefore Z za'a, and then the Moment of ta or A3, will be 24a+ a — Az, or 34a. Again, make B As, and therefore 5: 34a), and then the Moment of A xa, or 'a*, will 'be 3aa3 or 4dais. Again, make B =a4, and therefore b:_-é 4da3, and then the Moment of A x A4, or A', will be 4da4 +d'aa, or 54a4. And fo on £72 iryfnitum. Therefore in general, affuming m to reprefent any integer affirmative Number, the fimornent of A will be maw.

PIBN | 10064639 |

ISBN | 978-1-330-45486-2 |

ISBN (Hardcover) | 978-1-5280-4788-3 |

Language | English |

Category | Calculus |

Pages | 365 |

Words | 96886 |

Vocabulary | 2031 |

Eight Lectures on

Theoretical PhysicsDelivered at Columbia

University in 1909

Theoretical PhysicsDelivered at Columbia

University in 1909

The Method of

Fluxions and

Infinite SeriesWith Its Application to the

Geometry of Curve-Lines

Fluxions and

Infinite SeriesWith Its Application to the

Geometry of Curve-Lines

A Treatise of

Celestial MechanicsBook the First, Translated From the French,

and Elucidated With Explanatory Notes

Vol. 1

Celestial MechanicsBook the First, Translated From the French,

and Elucidated With Explanatory Notes

Vol. 1

Introduction

to Infinite

Series

to Infinite

Series

Graphical

Calculus

Calculus

The Doctrine

and Application

of FluxionsContaining (Besides What Is

Common on the Subject) A Number

of New Improvements in the Theory

Vol. 1

and Application

of FluxionsContaining (Besides What Is

Common on the Subject) A Number

of New Improvements in the Theory

Vol. 1

The Works of

ArchimedesEdited in Modern Notation,

With Introductory Chapters

ArchimedesEdited in Modern Notation,

With Introductory Chapters

The Doctrine

and Application

of FluxionsContaining a Number of New Improvements in the Theory,

and the Solution of a Variety of New, and Very Interesting,

Problems in Different Branches of the Mathematicks

Vol. 1

and Application

of FluxionsContaining a Number of New Improvements in the Theory,

and the Solution of a Variety of New, and Very Interesting,

Problems in Different Branches of the Mathematicks

Vol. 1

Syntagma

MathesiosContaining the Resolution of Equations; With a New Way

of Solving Cubic and Biquadratic Equations, Analytically

and Geometrically; Also the Universal Method of

Converging Series, After an Easy and Expeditious Manner

MathesiosContaining the Resolution of Equations; With a New Way

of Solving Cubic and Biquadratic Equations, Analytically

and Geometrically; Also the Universal Method of

Converging Series, After an Easy and Expeditious Manner

Elementary

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

The Mechanics

of LaplaceTranslated With Notes and Additions

of LaplaceTranslated With Notes and Additions

An

Introduction

to Mathematics

Introduction

to Mathematics

OpticksOr, a Treatise of the Reflections,

Refractions, Inflections and Colours of Light

Refractions, Inflections and Colours of Light

Space-Time-Matter

A Treatise Upon

Analytical

MechanicsBeing the First Book of the Mechanique Celeste

of P. S. Laplace, Member of the Institute and of

the Bureau of Longitude of France, &C., &C.;

Translated and Elucidated With Explanatory Notes

Analytical

MechanicsBeing the First Book of the Mechanique Celeste

of P. S. Laplace, Member of the Institute and of

the Bureau of Longitude of France, &C., &C.;

Translated and Elucidated With Explanatory Notes

A Treatise Upon

Analytical

MechanicsBeing the First Book of

the Mechanique Celeste

Analytical

MechanicsBeing the First Book of

the Mechanique Celeste

An Introduction

to the Doctrine

of FluxionsWith Fourteen Copper-Plates

to the Doctrine

of FluxionsWith Fourteen Copper-Plates

The Principles

of FluxionsDesigned for the Use of

Students in the University

of FluxionsDesigned for the Use of

Students in the University

Archimedes

Introduction

to AlgebraBeing the First Part of a Course of

Mathematics, Adapted to the Method

of Instruction in the American Colleges

to AlgebraBeing the First Part of a Course of

Mathematics, Adapted to the Method

of Instruction in the American Colleges

Examples of

the Solutions

of Functional

Equations

the Solutions

of Functional

Equations

Hyperbolic

Functions

Functions

Elementary

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

Illustrations

of the Celestial

Mechanics of LaplaceComprehending the First Book

Vol. 1

A Treatise on

Electricity

and Magnetism

Vol. 1

Electricity

and Magnetism

Vol. 1

Sir Isaac Newton's Two

Treatises of the Quadrature

of Curves, and Analysis by

Equations of an Infinite

Number of Terms, ExplainedContaining the Treatises Themselves, Translated Into English,

With a Large Commentary; In Wich the Demonstrations

Are Supplied Where Wanting, the Doctrine Illustrated, and

the Whole Accommodated to the Capacities of Beginners

Treatises of the Quadrature

of Curves, and Analysis by

Equations of an Infinite

Number of Terms, ExplainedContaining the Treatises Themselves, Translated Into English,

With a Large Commentary; In Wich the Demonstrations

Are Supplied Where Wanting, the Doctrine Illustrated, and

the Whole Accommodated to the Capacities of Beginners

MathematicsCompiled From the Best Authors, and Intended to

Be the Text-Book of the Course of Private Lectures

on These Sciences in the University at Cambridge

Vol. 1 of 2

Be the Text-Book of the Course of Private Lectures

on These Sciences in the University at Cambridge

Vol. 1 of 2

The Method of

Fluxions Both

Direct and InverseThe Former Being a Translation From the Celebrated

Marquis De L'hospital's Analyse Des Infinements

Petits; And the Latter Supply'd by the Translator

Fluxions Both

Direct and InverseThe Former Being a Translation From the Celebrated

Marquis De L'hospital's Analyse Des Infinements

Petits; And the Latter Supply'd by the Translator

Theory

of Heat

of Heat

The Thirteen

Books of Euclid's

ElementsTranslated From the Text of Heiberg,

With Introduction and Commentary;

Books X-XIII and Appendix

Vol. 3

Books of Euclid's

ElementsTranslated From the Text of Heiberg,

With Introduction and Commentary;

Books X-XIII and Appendix

Vol. 3

Practical System of

Algebra, in Theory and

Practice, in Two PartsWith a New Method of Solving Cubic

Equations and Those of the Higher

Orders; With Notes and Illustrations

Algebra, in Theory and

Practice, in Two PartsWith a New Method of Solving Cubic

Equations and Those of the Higher

Orders; With Notes and Illustrations

A Brief History

of MathematicsAn Authorized Translation of Dr. Karl Fink's

Geschichte Der Elementar-Mathematik

of MathematicsAn Authorized Translation of Dr. Karl Fink's

Geschichte Der Elementar-Mathematik

The Origin and

Development of the

Quantum TheoryBeing the Nobel Prize Address Delivered

Before the Royal Swedish Academy of

Sciences at Stockholm, 2 June, 1920

Development of the

Quantum TheoryBeing the Nobel Prize Address Delivered

Before the Royal Swedish Academy of

Sciences at Stockholm, 2 June, 1920

The

Calculus for

Engineers

Calculus for

Engineers

An Elementary Treatise

on Algebra, Theoretical

and PracticalAdapted to the Instruction of

Youth in Schools and Colleges

on Algebra, Theoretical

and PracticalAdapted to the Instruction of

Youth in Schools and Colleges

Spherical

TrigonometryFor Colleges and Secondary Schools

TrigonometryFor Colleges and Secondary Schools

The Elements of

the Differential

CalculusFounded on the Method

of Rates or Fluxions

Vol. 2

the Differential

CalculusFounded on the Method

of Rates or Fluxions

Vol. 2

Introduction

to QuaternionsWith Numerous Examples

to QuaternionsWith Numerous Examples

A Treatise of

Algebra, in

Two BooksBook I. Containing, the Fundamental Principles of

This Art, Together With All the Practical Rules of

Operation; Book II. Containing, a Great Variety of

Problems, in the Most Important Branches of Mathematics

Algebra, in

Two BooksBook I. Containing, the Fundamental Principles of

This Art, Together With All the Practical Rules of

Operation; Book II. Containing, a Great Variety of

Problems, in the Most Important Branches of Mathematics

Vector

AnalysisAn Introduction to Vector-Methods and Their

Various Applications to Physics and Mathematics

AnalysisAn Introduction to Vector-Methods and Their

Various Applications to Physics and Mathematics

A Course of

MathematicsFor the Use of Academies,

as Well as Private Tuition

Vol. 1 of 2

MathematicsFor the Use of Academies,

as Well as Private Tuition

Vol. 1 of 2

Elements

of AlgebraTranslated From the French, With the Notes of

Bernoulli, and the Additions of M. De La Grange

of AlgebraTranslated From the French, With the Notes of

Bernoulli, and the Additions of M. De La Grange

An Elementary

Course in

Differential

Equations

Course in

Differential

Equations

Differential

and Integral

Calculus

and Integral

Calculus

Harmonic

Functions

Functions

A Treatise on

the Calculus

of Finite

Differences

the Calculus

of Finite

Differences

The Doctrine

and Application

of FluxionsContaining (Besides What Is Common on the Subject)

A Number of New Improvements in the Theory; And

the Solution of a Variety of New and Very Interesting

Problems, in Different Branches of the Mathematics

Vol. 1 of 2

and Application

of FluxionsContaining (Besides What Is Common on the Subject)

A Number of New Improvements in the Theory; And

the Solution of a Variety of New and Very Interesting

Problems, in Different Branches of the Mathematics

Vol. 1 of 2

New Series

of the

Mathematical

Repository

Vol. 3

of the

Mathematical

Repository

Vol. 3

A History

of Greek

MathematicsFrom Thales to Euclid

Vol. 1

of Greek

MathematicsFrom Thales to Euclid

Vol. 1

The Mathematical

Principles of

Natural PhilosophyTo Which Are Added, Newton's System

of the World; A Short Comment

on and Defence of the Principia

Vol. 1 of 3

Principles of

Natural PhilosophyTo Which Are Added, Newton's System

of the World; A Short Comment

on and Defence of the Principia

Vol. 1 of 3

The Collegiate

AlgebraAdapted to Colleges and Universities

AlgebraAdapted to Colleges and Universities

Diophantus

of AlexandriaA Study in the History

of Greek Algebra

of AlexandriaA Study in the History

of Greek Algebra

A History of

Mathematics

Mathematics

The Philosophy

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

of MathematicsTranslated From the Cours De

Philosophie Positive of Auguste Comte

A Treatise on

Algebra, in Practice

and TheoryWith Notes and Illustrations, Containing a Variety of

Particulars Relating to the Discoveries and Improvements

That Have Been Made in This Branch of Analysis

Vol. 2 of 2

Algebra, in Practice

and TheoryWith Notes and Illustrations, Containing a Variety of

Particulars Relating to the Discoveries and Improvements

That Have Been Made in This Branch of Analysis

Vol. 2 of 2

A Treatise

on Fluxions

on Fluxions

Lectures on

Elementary

Mathematics

Elementary

Mathematics

Elements of

Quaternions

Vol. 1

Quaternions

Vol. 1