Book:William Jones/Synopsis Palmariorum Matheseos

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William Jones: Synopsis Palmariorum Matheseos

Published $1706$.


Subject Matter

  • Contains the first instance in print of the symbol $\pi$ for pi.


Contents

Dedication
The Preface
Errata
General Definitions
The Explication of the Signs and Characters used in this Treatise


Part I. Containing the Principles of Numeral and Literal Arithmetick
Sect. I. Of Numeral Integers
Chap. I. Notation of Numeral Integers
Chap. II. Addition of Integers
Chap. III. Subtraction of Integers
Chap. IV. Multiplication of Integers
Chap. V. Division of Integers


Sect. II. Of Literal or Algebraic Integers
Chap. I. Notation of Algebraic Integers
Chap. II. Addition of Algebraic Integers
Chap. III. Subduction of Algebraic Integers
Chap. IV. Multiplication of Algebraic Integers
Chap. V. Division of Algebraic Integers
Chap. VI. Involution of Quantities
Chap. VII. Evolution of Quantities


Sect. III. Of the Comparisons of Quantities
Chap I. Of Proportion
Chap II. The Chief Properties of Arithmetic Proportion
Chap III. The Chief Properties of Geometric Proportion
Chap IV. Of Harmonic and Contraharmonic Proportions
Chap V. Of Fractions or Parts of Integers
Chap VI. The Arithmetic of Incommensurables
Chap VII. The Method of Resolving Mathematical Problems
Chap VIII. Of Arithmetic Progression
Chap IX. Of Geometric Progression
Chap X. Of Interest
Chap XI.
I. Of Combinations of Quantities
II. Of Elections of Quantities
III. Of Permutations of Quantities
IV. Composition of Quantities


Part II. Containing the Principles of Geometry