An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ofHilliard and Metcalf, 1825 - 144 σελίδες |
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Σελίδα
... progression , are treated in a manner , that can hardly fail to interest the learner and make him acquainted with the reason of those rules which he has so frequent occasion to apply . A more extended work on Algebra formed after the ...
... progression , are treated in a manner , that can hardly fail to interest the learner and make him acquainted with the reason of those rules which he has so frequent occasion to apply . A more extended work on Algebra formed after the ...
Σελίδα
... Progressions . 118 CHAPTER IV . Of the Summation of Arithmetical Progressions . 122 CHAPTER V. of Geometrical Ratio . 126 CHAPTER VI . Of the greatest Common Divisor of two given numbers . CHAPTER VII . of Geometrical Proportions ...
... Progressions . 118 CHAPTER IV . Of the Summation of Arithmetical Progressions . 122 CHAPTER V. of Geometrical Ratio . 126 CHAPTER VI . Of the greatest Common Divisor of two given numbers . CHAPTER VII . of Geometrical Proportions ...
Σελίδα
Taken Principally from the Arithmetic of Silvestre François Lacroix. CHAPTER X. of Geometrical Progressions . 146 CHAPTER XI . 152 Of Infinite Decimal Fractions . SECTION FOURTH . OF ALGEBRAIC EQUATIONS , and of THE RESOLUTION OF THOSE ...
Taken Principally from the Arithmetic of Silvestre François Lacroix. CHAPTER X. of Geometrical Progressions . 146 CHAPTER XI . 152 Of Infinite Decimal Fractions . SECTION FOURTH . OF ALGEBRAIC EQUATIONS , and of THE RESOLUTION OF THOSE ...
Σελίδα 49
... progression , because each term is greater by one than the preceding . 175. As in this scries of powers each term is found by multi- plying the preceding term by a , which increases the exponent by 1 ; so when any term is given , we may ...
... progression , because each term is greater by one than the preceding . 175. As in this scries of powers each term is found by multi- plying the preceding term by a , which increases the exponent by 1 ; so when any term is given , we may ...
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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.