# Book:William Frend/The Principles of Algebra

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## William Frend and Francis Maseres:

## William Frend and Francis Maseres: *The Principles of Algebra*

Published $\text {1796}$, **J. Davis**

### Subject Matter

Noted for its rejection of the validity of negative numbers.

### Contents

- Preface

- Explanation of Terms, &c.
- Addition
- Subtraction
- General Rules for Addition and Subtraction
- Multiplication
- Division
- Equations
- Resolution of Equations
- Instances in Simple Equations
- Questions resolved by Simple Equations
- Fractions
- Decimal Fractions
- Powers and Roots of Numbers
- Equations of the Second Order
- Solution of Problems by Equations of the Second Order
- Equations of the Third Order
- Questions producing Equations of the Third Order
- Equations of a higher Order than Third
- On the Nature of a Series of Numbers, Arithmetical
- Geometrical

- Logarithms
- Geometrical Series continued
- Interest Simple
- Interest Compound
- On the Limits of a decreasing Series
- On the Application of Algebra to Geometry

- Appendix: Cardan's Rule (by Francis Maseres)