## Elementary algebra. To which is now added an appendix |

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### Common terms and phrases

2ab+b² a+b-c a+b+c a²+b² Algebra arithmetic means Arithmetical Progression called coefficient Common Multiple decimal denominator denote difference digits Divide dividend divisible divisor duodenary equal find the L.C.M. Find the number Find the sum Find the value following expressions Geometrical Progression given greater Hence Highest Common Factor integer less logarithm Multiply negative nonary number of permutations number of terms obtain proceed proper fraction quadratic equation quantity quinary quotient ratio remainder represent the number result rule Rule of Signs scale whose radix second term senary scale septenary septenary scale shew shillings sides Simplify solve the equations square root subtract surd Theorem things taken unknown symbol whole number x²y

### 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.