An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ofHilliard and Metcalf, 1825 - 144 σελίδες |
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Σελίδα 33
... square , of which the root is 12 . This term is derived from geometry , which teaches us that the contents of a square are found by multiplying its side by itself . 116. Square numbers are found therefore by multiplication ; that is to ...
... square , of which the root is 12 . This term is derived from geometry , which teaches us that the contents of a square are found by multiplying its side by itself . 116. Square numbers are found therefore by multiplication ; that is to ...
Σελίδα 34
... square numbers thus arranged has a singular property ; namely , that if each of them be subtracted from that which immediately follows , the remainders always increase by 2 , and form this series ... root , the square 34 Sect . 1 . Algebra .
... square numbers thus arranged has a singular property ; namely , that if each of them be subtracted from that which immediately follows , the remainders always increase by 2 , and form this series ... root , the square 34 Sect . 1 . Algebra .
Σελίδα 35
... root , the square becomes 4 times greater . So if the root be 3 a , the square is 9 a a ; and if But if the root be ab , the the root be 4 a , the square is 16 aa . square is a abb ; and if the root be a b c , the square is a a bbcc . 121.
... root , the square becomes 4 times greater . So if the root be 3 a , the square is 9 a a ; and if But if the root be ab , the the root be 4 a , the square is 16 aa . square is a abb ; and if the root be a b c , the square is a a bbcc . 121.
Σελίδα 36
... square root of 25. To be convinced of this , we have only to take the square root of the numerator , and that of the denominator . If the number proposed be a mixed number , as 123 , we reduce it to a single fraction , which here is ...
... square root of 25. To be convinced of this , we have only to take the square root of the numerator , and that of the denominator . If the number proposed be a mixed number , as 123 , we reduce it to a single fraction , which here is ...
Σελίδα 37
... square root of 12. Notwithstanding this , we are not to assert that the square root of 12 is absolutely and in itself indeterminate ; it only follows from what has been said , that this root , though it necessarily has a determinate ...
... square root of 12. Notwithstanding this , we are not to assert that the square root of 12 is absolutely and in itself indeterminate ; it only follows from what has been said , that this root , though it necessarily has a determinate ...
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added algebra Arith arithmetic arithmetical progression Avoirdupois bers called CHAPTER ciphers coined comma compound numbers consequently consider contains crowns cube root decametre decimal fraction denominator difference divided dividend division dollars ducats equal equation evident Examples for practice exponent expression florins four numbers gallon given number gives greater number greatest common divisor hundred hundredths inches infinite infinite series instance integer kind lastly less letters lire manner measures multiplicand multiplied myriogramme negative numbers number of days number of terms obtain operation pence performed piece pound preceding prime numbers proportion quantity question quotient ratio reduced relation remainder represented resolved result Rix-dollar rule Scudo shews shillings square root stivers subtract suppose third tion units unity vulgar fraction weight whence wherefore whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 13 - When the numerator is less than the denominator, the value of the fraction is less than 1.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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,...
Σελίδα 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.
Σελίδα 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.