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a a 2 a b a a b a b b a b c added Arith arithmetical progression Avoirdupois called CHAPTER ciphers coefficient column comma compound numbers Compound Quantities consequently consider contains crowns cube root decimal fraction denominator difference divided division dollars ducats equal equation evident exponent expression factors florins fourth frac gallon geometrical given number gives greater number greatest common divisor hundreds hundredths infinite series instance integer last term lastly less letters manner metical multi multiplicand multiplied myriogramme negative numbers number of terms obtain operation partial dividend pence performed pound preceding proposed question quotient ratio reduced remainder represented required to find resolved result Rix-dollar rubles rule shews shillings ſº square root stivers subtract Suppose tens third tion transpositions units unity vulgar fraction whence wherefore whole number write
Page 15 - When the numerator is less than the denominator, the value of the fraction is less than 1.
Page 73 - 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 108 - 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 117 - 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 120 - 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 66 - 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 18 - 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.