# Elementary algebra. To which is now added an appendix

### Contents

 PROBLEMS RESULTING IN SIMULTANEOUS EQUATIONS 154 ON SQUARE ROOT 163 ON CUBE ROOT 169 QUADRATIC EQUATIONS 174 THE THEORY OF INDICES 201 ON SURDS 213 ON EQUATIONS INVOLVING SURDS 229
 COMBINATIONS 291 THE BINOMIAL THEOREM POSITIVE INTEGRAL INDEX 296 THE BINOMIAL THEOREM FRACTIONAL AND NEGATIVE INDICES 307 SCALES OF NOTATION 316 ON LOGARITHMS 328 APPENDIX 344 ANSWERS 345

### Popular passages

Page 249 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken and any equimultiples whatsoever of the second and fourth : " If the multiple of the first be less than that of the second, the multiple of the third is also less thau that of the fourth...
Page 326 - prove that the number of permutations of n things taken r at a time is n.
Page 72 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 245 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 326 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 169 - Then divide the first term of the remainder by the first term of the divisor...
Page 241 - Ratio is the relation which one quantity bears to another of the same kind with respect to the number of times the one contains the other.
Page 325 - In how many years will a sum of money double itself at 3 per cent, compound interest ? 3. In how many years will a sum of money double itself at 10 per cent, compound interest ? 4.
Page 117 - A person walked to the top of a mountain at the rate of 2- miles an hour, and down the same way at the rate of o 3^ miles an hour, and was out 5 hours.
Page 117 - A steamer which started from a certain place is followed after 2 days by another steamer on the same line. The first goes 244 miles a day, and the second 286 miles a day. In how many days will the second overtake the first ? 52. A messenger who goes 31 - miles in 5 hours is followed after 8 hours by another who goes 22 - miles in 3 hours.