### Contents

 Algebraic Notation 10 Addition 23 Subtraction 30 Multiplication 36 Division 45 Definitions 77 FRACTIONS 87 Transformation of Equations 107
 Powers of Monomials 168 Definitions 181 Reduction of Radicals 201 Subtraction of Radicals 208 Theorems relating to Proportion 215 RATIO AND PROPORTION 234 0 244 Equations in the Quadratic Form 252

### Popular passages

Page 55 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 56 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 85 - Rule. — Multiply the whole number by the denominator of the fraction, add the numerator to the product and place the denominator under the result.
Page 46 - Hence, The exponent of a letter in the quotient is equal to its exponent in the dividend, diminished by its exponent in the divisor.
Page 281 - Divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40.
Page 176 - ... found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place.