# The Franklin Elementary Algebra

J.H. Butler, 1881 - Algebra - 297 pages

### Contents

 THE LANGUAGE OF ALGEBRA 1 OPERATIONS ON ALGEBRAIC QUAN 42 FACTORS DIVISORS MULTIPLES 8499 84 FRACTIONS RATIOS PROPORTIONS 100 SECTION VI 127 SECTION VII 141 POWERS AND ROOTS 158
 BINOMIAL EQUATIONS 187 THEORY OF EXPONENTS 207 PROGRESSIONS 221 LOGARITHMS 235 MISCELLANEOUS PROBLEMS 277 Copyright

### Popular passages

Page 88 - 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 88 - 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 241 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 11 - Algebraic operations are based upon definitions and the following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal....
Page 151 - SPECIFIC GRAVITY. THE Specific Gravity of a body, is the ratio of its weight to the weight of an equal volume of some other body assumed as a standard.
Page 17 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Page 236 - With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number.
Page 159 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 151 - A solid immersed in a liquid is buoyed up by a force equal to the weight of the liquid displaced.
Page 122 - 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.