## A Treatise on the Elements of Algebra |

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### Common terms and phrases

according added Algebra ANSWERS applying arithmetical arrangement assumed base become binomial called changed coefficient complete compound consisting contained continual cube denominator denote determine difference Divide dividend division divisor equal equation EXAMPLES EXAMPLES FOR PRACTICE expressed Extract factors figures follows four fourth fraction Given Given Equations gives greater Hence highest indicates integral known least common multiple less letters logarithms manner means method miles multiplied nature negative obtained odd number operations plain positive prime principle problem proportion quadratic question quotient Raise ratio Reduce remainder represent respect result RULE sides simple solved square root substitution subtracted surds symbol taken third tion transposing units unknown quantities whence whole

### Popular passages

Page 249 - London, in order to distinguish his own from any he might meet on the road, pulled three feathers out of the tail of each turkey, and one out of the tail of each goose ; and, upon counting them, found that the number of turkey's feathers exceeded twice those of the geese by 15.

Page 271 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 242 - A vintner sold 7 dozen of sherry and 12 dozen of claret for £50, and finds that he has sold 3 dozen more of sherry for £10 than he has of claret for £6. Required the price of each.

Page 256 - In any proportion, the product of the means is equal to the product of the extremes.

Page 256 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.

Page 294 - To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment.

Page 249 - ... feathers exceeded twice those of the geese by 15. Having bought 10 geese and sold 15 turkeys by the way, he was surprised to find, as he drove them into the poulterer's yard, that the number of geese exceeded the number of turkeys in the proportion of 7 to 3.

Page 246 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.

Page 250 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately 1 Ans.

Page 249 - A man and his wife could drink a barrel of beer in 15 days. After drinking together 6 days, the woman alone drank the remainder in 30 days. In what time would either alone drink a barrel...