# University Algebra: Designed for the Use of Schools and Colleges

R. S. Davis, 1880 - Algebra - 475 pages
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### Contents

 DIVISION 31 FORMULE 39 FACTORING 40 GREATEST COMMON DIVISOR 53 LEAST COMMON MULTIPLE 61 FRACTIONS 66 Reduction of Fractions 70 Addition and Subtraction of Fractions 78 Multiplication of Fractions 82 Division of Fractions 85 Complex Fractions 87 ONE UNKNOWN QUANTITY Transformation of Equations 91 SIMPLE EQUATIONS MORE THAN TWO UNKNOWN QUAN 123 DISCUSSION OF PROBLEMS 137 INEQUALITIES 148 EVOLUTION 158 THE THEORY OF EXPONENTS 176 RADICALS 188
 PERMUTATIONS AND COMBINATIONS 295 UNDETERMINED COEFFICIENTS 304 BINOMIAL THEOREM ANY EXPONENT 321 LOGARITHMS 339 1 2 4 5 5 8 348 14 350 19 353 38 357 GENERAL THEORY OF EQUATIONS 369 SOLUTION OF HIGHER NUMERICAL EQUATIONS 399 ANSWERS TO EXAMPLES 421 40 423 R6 886 424 66 429 70 431 78 440 91 461 Copyright

### Popular passages

Page 36 - 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 87 - A Complex Fraction is one having a fraction in its numerator or denominator, or both. It may be regarded as a case in division ; its numerator answering to the dividend, and its denominator to the divisor. EXAMPLES. 1. Reduce — — to it
Page 164 - Find the greatest square in the left period, and place its root on the right, after the manner of a quotient in division. Subtract the square of the root from the left period, and to the remainder bring down the next period for a dividend.
Page 54 - The GREATEST COMMON DIVISOR of two or more quantities is the greatest quantity that will divide each of them without a remainder.
Page 172 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 267 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Page 137 - ... of the second to make the same sum. Some one offers him a crown for c pieces. How many of each kind must the banker give him ? Ans.
Page 149 - If the signs of all the terms of an inequality be changed, the sign of inequality must be reversed. For, to change all the signs is equivalent to...
Page 273 - If the illumination from a source of light varies inversely as the square of the distance, how much farther from a candle must a book, which is now 15 inches off, be removed, so as to receive just one-third as much light ? 20.
Page 112 - A vessel can be emptied by three taps; by the first alone it could be emptied in 80 minutes, by the second in 200 minutes, and by the third in 5 hours. In what time will it be emptied if all the taps are opened?