An Elementary Treatise on Arithmetic

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Hilliard and Metcalf, at the University Press, 1821 - Arithmetic - 127 pages
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Page 34 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Page 107 - 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 73 - Divide the given denomination by that number which it takes of this denomination to make ONE of the next higher. Proceed in this manner with each successive denomination, till you come to the one required.
Page 119 - 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 94 - Any four numbers are said to be proportional to each other when the first contains the second as many times as the third contains the fourth ; or when the second contains the first as many times as the fourth contains the third.
Page 119 - A hare starts 12 rods before a hound ; but is not perceived by him till she has been up 45 seconds ; she scuds away at the rate of 10 miles an hour ; and the dog, on view, makes after her at the rate of 16 miles an hour ; how long will the course hold, and what space will be run over, from the spot where the dog started ? Ans.
Page 119 - There is an island 73 miles in circumference, and three footmen all start together to travel the same way about it : A goes 5 miles a day, B 8, and C 10; when will they all come together again ? Ans. 73 days. (38) How much foreign brandy at 8s. per gallon, and domestic spirits at 3*. per gallon, must be mixed together, so that, in selling the compound at 9«.
Page 67 - Apothecaries' is the same as Troy weight, having only some different divisions. AVOIRDUPOIS WEIGHT. 16 drams make 1 ounce, marked dr. oz. 16 ounces 1 pound Ib. 28 Ib. 1 quarter qr. 4 quarters 1 hundred weight cwt. 20 cwt. 1 ton T. By this weight are weighed all things of a coarse or drossy nature ; such as butter, cheese, flesh, grocery wares, and all metals, except gold and silver.* Ib.
Page 118 - A person looking on his watch, was asked, what was the time of the .day ; he answered, it is between 4 and 5 ; but A more particular answer being required, he said, that the hour and minute hands were then exactly together. What was the time ? Ans.
Page 123 - ... heavens, as that which surrounds an artificial globe, is divided into the same number of parts. The number 360 is entirely arbitrary, and any other number, had mathematicians chosen, might have been fixed upon : and hence the French, in their measures of the circle, divide it into 400 equal parts or degrees ; each degree into 100 minutes, and each minute into 100 seconds. The reason why the number 360 appears to have been selected is, that this number may be divided into halves, quarters, and...

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