Book:William Jones/Synopsis Palmariorum Matheseos

Subject Matter

 * A beginner's book on mathematics


 * 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