# Elements of Algebra with Exercises

Macmillan Company, 1899 - 478 pages
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### Contents

 DEFINITIONS 49 ADDITION AND SUBTRACTION 54 Division of Monomials by Monomials 69 Infinites 77 LINEAR EQUATIONS IN ONE UNKNOWN NUMBER 86 59 99 CHAPTER VI 100 TYPEFORMS IN DIVISION 107 CHAPTER VII 113 61 123 68 136 LOWEST COMMON MULTIPLES 147 82 165 Problems 180 FRACTIONAL EQUATIONS IN ONE UNKNOWN NUMBER 188 CHAPTER XII 196 PROBLEMS 202 CHAPTER XIII 203 SYSTEMS OF FRACTIONAL EQUATIONS 223
 Complex Numbers 298 Special Devices 313 Problems 322 CHAPTER XXIII 330 CHAPTER XXIV 336 SIMULTANEOUS HIGHER EQUATIONS 349 CHAPTER XXVI 366 327 392 185 394 CHAPTER XXXII 429 203 435 CHAPTER XXXIV 446 Properties of Convergents 452 336 457 To reduce a Periodic Continued Fraction to an Irrational 458 LOGARITHMS 460 Principles of Logarithms 467 Exponential Equations 475 Copyright

### Popular passages

Page 209 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Page 354 - 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 73 - 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 106 - ... 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 357 - 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 326 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards; but if the circumference of each wheel...
Page 308 - If the resulting coefficient of я? be not + 1, divide both members by this coefficient. Complete the square by adding to both members the square of half the coefficient of x.
Page 166 - The product of two fractions is a fraction whose numerator is the product of the numerators of the given fractions, and whose denominator is the product of the given denominators.
Page 470 - We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.
Page 467 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.