### Contents

 THE FUNDAMENTAL OPERATIONS 1 SPECIAL PRODUCTS AND FACTORING 14 FRACTIONS 24 SIMPLE EQUATIONS 33 V 36 GRAPHICAL REPRESENTATION 46 SIMULTANEOUS LINEAR EQUATIONS 51 SQUARE ROOT AND QUADRATIC SURDS 63
 33 141 100 149 124 150 135 155 140 160 150 167 RADICALS XV LOGARITHMS 170 PROGRESSIONS 187

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Page 12 - 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 209 - In any proportion, the product of the means is equal to the product of the extremes.
Page 183 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 207 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the proportion a : b = с : d, a and d are the extremes, and b and с the means.
Page 184 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 211 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 210 - If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Page 211 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 210 - In any proportion the terms are in proportion by division; that is, the difference of the first two terms is to the second term as the difference of the last two terms is to the fourth.
Page 173 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.