## An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of |

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### Contents

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### Common terms and phrases

according added addition already Answer arithmetical becomes called CHAPTER common divisor compound consequently consider consists contains cost crowns cube decimal denominator determine difference divided dividend division dollars ducats easily equal equation evident example exponent expression factors feet figures four fourth fraction further gain gallon given given number gives greater half hundred increased infinite instance integer kind known lastly less letters manner means measures method multiplicand multiplied namely nature necessary negative observed obtain operation performed piece pound preceding present progression proportion proposed quantity question quotient ratio reason reduced relation remainder remark represented resolved result rule shillings simple square root subtract Suppose taken tens third tion twice units unity weight whence whole number write written yards

### Popular passages

Page 13 - When the numerator is less than the denominator, the value of the fraction is less than 1.

Page 71 - From the above example we may deduce the following general rules, namely, /To reduce the- several parts of a compound number to a fraction of the highest denomination contained in it, make the lowest term the numerator of a fraction, having for its denominator the number which it takes of this denomination to make one of the next higher, and add to this the next term reduced to a fraction of the same denomination, then multiply the denominator of this sum by so many as make one of the next...

Page 106 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.

Page 115 - How much gold of 15, of 17, and of 22 carats fine, must be mixed with 5 oz. of 18 carats fine, so that the composition may be 20 carats fine ? Ans.

Page 118 - A man, being asked how many sheep he had in his drove, said, if he had as many more, half as many more, and 7 sheep and a half, he should have 20 ; how many had he ? Ans. 5.

Page 64 - By this measure, Land, and Husbandmen and Gardeners' work are measured ; also Artificers' work, such as Board, Glass, Pavements, Plastering, Wainscoting Tiling, Flooring, and every dimension of length and breadth only. When three dimensions are concerned, namely, length, breadth, and depth or thickness, it is called cubic or solid measure, which is used to measure Timber, Stone, &c. The cubic or solid Foot, which is 12 inches in length and breadth and thickness, contains 1728 cubic or solid inches,...

Page 13 - We have seen in the preceding exercise that we may divide both the numerator and the denominator of a fraction by the same number without changing the value of the fraction.

Page 101 - A wall that is to be built to the height of 27 feet, was raised 9 feet by 12 men in 6 days ; how many men must be employed to finish the wall in 4 days at the same rate of working ? If 402.