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### Contents

 INTRODUCTION 1 CHAPTER I 7 Multiplication and Division 14 CHAPTER II 33 Least Common Multiple 54 CHAPTER III 75 Quadratic Equations 98
 CHAPTER IV 152 Binomial Quadratic Surds 158 CHAPTER V 166 Harmonic Progression 199 CHAPTER VII 205 CHAPTER VIII 211 APPENDIX 231

### Popular passages

Page 38 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 199 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 22 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 173 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.