TABLE OF CONTENTS.

BOOK I.
SECTION   PAGE
I. Numeration  1
II. Addition and Subtraction 14
III. Multiplication 24
IV. Division 34
V. Fractions 51
VI. Decimal Fractions 65
VII. Square Root 89
VIII. Proportion 100
IX. Permutations and Combinations 118
BOOK II.
I. Weights and Measures, &c. 124
II. Rule of Three 144
III. Interest, &c. 150
APPENDIX.
I. On the mode of computing 161
II. On verification by casting out nines and elevens 166
III. On scales of notation 168
IV. On the definition of fractions 171
V. On characteristics 174
VI. On decimal money 176
VII. On the main principle of book-keeping 180
VIII. On the reduction of fractions to others of nearly equal value 190
IX. On some general properties of numbers 193
X. On combinations 201
XI. On Horner’s method of solving equations 210
XII. Rules for the application of arithmetic to geometry 217