An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ofHilliard and Metcalf, 1825 - 144 σελίδες |
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Σελίδα 1
... relation , though after- wards it was applied to magnitude in general , magnitude con- sidered as a whole being called continued quantity , to distinguish it from number , which is called discrete , or discontinued quantity . 2. All ...
... relation , though after- wards it was applied to magnitude in general , magnitude con- sidered as a whole being called continued quantity , to distinguish it from number , which is called discrete , or discontinued quantity . 2. All ...
Σελίδα 37
... relation to the same unit , is susceptible of but one expression . In fractions on the contrary , the same magnitude can be expressed in an infinite number of ways . For instance , the fractions 3 4 5 6 1. 1. 8. t . To , T1 , 71 , & c ...
... relation to the same unit , is susceptible of but one expression . In fractions on the contrary , the same magnitude can be expressed in an infinite number of ways . For instance , the fractions 3 4 5 6 1. 1. 8. t . To , T1 , 71 , & c ...
Σελίδα 47
... relation to the original unit ; that is , of the quantity represented by of unity is equivalent to of unity . If it were required to take of this result , it would amount to taking of of , and these fractions , reduced to one , would ...
... relation to the original unit ; that is , of the quantity represented by of unity is equivalent to of unity . If it were required to take of this result , it would amount to taking of of , and these fractions , reduced to one , would ...
Σελίδα 75
... relation to money or any thing else ; and the result obtained may be converted again into the different denominations by re- Reduction . 75 Reduction To reduce pounds and shillings to pence To reduce shillings to pounds.
... relation to money or any thing else ; and the result obtained may be converted again into the different denominations by re- Reduction . 75 Reduction To reduce pounds and shillings to pence To reduce shillings to pounds.
Σελίδα 100
... relation to each other as the lengths . This example will serve to establish the meaning of several terms which frequently occur . 111. The relation of the lengths is the number , whether whole or fractional , which denotes how many ...
... relation to each other as the lengths . This example will serve to establish the meaning of several terms which frequently occur . 111. The relation of the lengths is the number , whether whole or fractional , which denotes how many ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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.