# A School Algebra: Designed for Use in High Schools and Academies

American Book Company, 1896 - Algebra - 394 pages
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### Contents

 INTRODUCTION 7 II 16 III 26 X 35 ADDITION AND SUBTRACTION 43 MULTIPLICATION AND DIVISION 54 FACTORING 73 Special Methods of Factoring 108

 COMMON FACTORS AND MULTIPLES 119 FRACTIONS 130 XIX 140 SIMPLE EQUATIONS CONTAINING FRACTIONS 152 SIMULTANEOUS EQUATIONS 169 INVOLUTION AND EVOLUTION 186
 LOGARITHMS 309 UNDETERMINED COEFFICIENTS AND APPLICATIONS 329 DETERMINANTS 340 340 355 Geometrical Representation of the Roots of an Equation 362

### Popular passages

Page 57 - 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 75 - 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 297 - The logarithm of a number is the exponent of the power to which a fixed number, called the base, must be raised in order to produce the given number.
Page 76 - 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 118 - A fraction is one or more of the equal parts of a unit...
Page 295 - WHEN three numbers are such that the first is to the third, as the difference of the first and second is to the difference of the second and third, they are said to be in HARMONICAL PROPORTION, and a series of numbers in continued harmonical proportion, constitutes a HARMONICAL PROGRESSION.
Page 295 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
Page 269 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 25 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 270 - In any proportion, the product of the extremes equals the product of the means.