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

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added algebra arithmetical arithmetical progression called CHAPTER ciphers column comma compound numbers consequently consider crowns cube root decametre decimal figures decimal fraction denominator difference division dollars ducats equal equation evident Examples for practice exponent expression factors fourth frac gallon geometrical progression given fraction given number gives greater number greatest common divisor hundreds hundredths inches infinite series instance integer lastly less letters manner measure multi multiplicand multiplied myriogramme negative numbers number of days number of terms observed obtain operation partial dividend pence performed pound preceding prime numbers proportion proposed question quotient ratio reduced relation remainder represented required to find resolved result rule shews shillings significant figure square root subtract Suppose tens tenth third tion units unity vulgar fraction whence wherefore whole number write written yards

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Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...

Page 21 - When the numerator is less than the denominator, the value of the fraction is less than 1.

Page 79 - 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 114 - 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 123 - 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 126 - 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 72 - 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 24 - 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 109 - 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.