# The Complete Algebra ...

Sheldon, 1881 - Algebra - 439 pages
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### Contents

 AN INTRODUCTION TO ALGEBRA 1 A BRIEF SURVEY OF THE OBJECTS OF PURE 7 BUSINESS RULES OF ARITHMETIC 20 SECTION 1 1 DEFINITIONS 27 SUBTRACTION 40 MULTIPLICATION 50 RULES AND EXAMPLES 85
 SECTION 11 178 COMBINATIONS OF RADICALS 192210 192 CHAPTER II 211 SECTION 11 253 SIMPLE SIMULTANEOUS INDEPENDENT EQUA 272 CHAPTER 1 281 PERCENTAGE 314316 314 FUNDAMENTAL RULES 327

 REDUCTIONS 107117 107 ADDITION 119121 119 SECTION V 121 DIVISION 130 INVOLUTION 138153 138 THE BINOMIAL FORMULA DEMONSTRATED 148 EVOLUTION 154177 154 PART 1 159
 QUADRATIC EQUATIONS 335 AFFECTED QUADRATICS 344356 344 EQUATIONS OF OTHER DEGREES WHICH 357 PROGRESSIONS 294313 375 CHAPTER XIX 381 SECTION 1 391 DEFINITIONS 426

### Popular passages

Page 112 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 6 - A divisor of two numbers is a divisor of their sum, and also of their difference.
Page 59 - 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 16 - 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 279 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 16 - A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. ILL. 23, read,
Page 130 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Page 75 - So likewise, 12 is a common multiple of 2, 3, 4, and 6, because it is divisible by each of them. The least common multiple of two or more numbers, is the least number which they will separately divide without a remainder.
Page 293 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 246 - ... the head and tail together ; what is the length of the fish ? 3. The head of a fish is 12 inches long, the tail is as long as the head + � of the body, and the body is as long as the head and tail ; what is the length of the fish?