# Secondary Algebra

Macmillian Company, 1900 - Algebra - 442 pages
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### Contents

 Equations without Transposition 10 Positive and Negative Numbers 18 CHAPTER II 24 CHAPTER III 42 Equations with Transposition and Problems 53 CHAPTER IV 79 CHAPTER VI 99 FRACTIONS 129
 DOCTRINE OF EXPONENTS 265 CHAPTER XVIII 277 116 284 CHAPTER XIX 300 118 305 CHAPTER XX 311 PROGRESSIONS 324 127 330

 Reduction to Lowest Common Denominator 141 Multiplication 149 Complex Fractions 155 CHAPTER IX 167 SIMULTANEOUS LINEAR EQUATIONS 177 INEQUALITIES 204 INDETERMINATE EQUATIONS 210 CHAPTER XIV 218 99 228 SURDS 235 Evolution of Surd Expressions 247 Approximate Values of Surd Numbers 253 IMAGINARY AND COMPLEX NUMBERS 257
 CHAPTER XXIII 348 CHAPTER XXIV 360 CHAPTER XXV 373 CHAPTER XXVI 392 CHAPTER XXVII 405 CHAPTER XXIX 438 129 445 311 446 131 451 155 183 Copyright

### Popular passages

Page 316 - 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 74 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Page 354 - That is, the number of combinations of n dissimilar things r at a time is equal to the number of combinations of the n things n — r at a time.
Page 351 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Page 216 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Page 313 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Page 317 - 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 179 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.
Page 95 - That is, the difference of the squares of two numbers is exactly divisible by the sum of the numbers, and also by the difference of the numbers, taken in the same order...
Page 334 - Evidently the sum can be made to differ from 2 by as little as we please, by taking a sufficient number of terms.