An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página 72
... wine at 9 shillings , with gallons of that at 5 shillings . 38. A wine merchant has two kinds of wine ; the one costs a shillings per gallon , the other b shillings . How must he mix both these wines together , in order to have n ...
... wine at 9 shillings , with gallons of that at 5 shillings . 38. A wine merchant has two kinds of wine ; the one costs a shillings per gallon , the other b shillings . How must he mix both these wines together , in order to have n ...
Página 75
... wines is just that of the required mixture , and , of course , needs none of the other wine added to it to make it of the re- quired value ; and zero must , therefore , be re- garded as a true solution . 4. In what cases would the value ...
... wines is just that of the required mixture , and , of course , needs none of the other wine added to it to make it of the re- quired value ; and zero must , therefore , be re- garded as a true solution . 4. In what cases would the value ...
Página 76
... , and the absurdity is that , while both the wines are of the same value , they should give a mix- ture of a value different from their common value . Cases in which the value of the unknown quantity is 76 [ CH . III . § III . ALGEBRA .
... , and the absurdity is that , while both the wines are of the same value , they should give a mix- ture of a value different from their common value . Cases in which the value of the unknown quantity is 76 [ CH . III . § III . ALGEBRA .
Página 78
... wines and the mixture are all of the same value ; in what- ever proportion , therefore , the wines are mixed together , the mixture must be of the required Cases in which the value of an unknown quantity is 78 [ CH . HI . § III . ALGEBRA .
... wines and the mixture are all of the same value ; in what- ever proportion , therefore , the wines are mixed together , the mixture must be of the required Cases in which the value of an unknown quantity is 78 [ CH . HI . § III . ALGEBRA .
Página 82
... is negative , First . When a < c ; that is , when the price of the most expensive wine is less than that of the required mixture . Cases of negative value of unknown quantity . Secondly . 82 [ CH . III . § III . ALGEBRA .
... is negative , First . When a < c ; that is , when the price of the most expensive wine is less than that of the required mixture . Cases of negative value of unknown quantity . Secondly . 82 [ CH . III . § III . ALGEBRA .
Outras edições - Ver tudo
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1860 |
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1858 |
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1837 |
Palavras e frases frequentes
2d Rem 3d root 4th root 94 become zero approximate values arithmetical progression binomial theorem coefficient commensurable roots contains the highest continued fraction continued product Corollary courier deficient terms denote dividend equal roots equal to zero factor Find the 3d Find the 4th Find the continued Find the greatest Find the square Find the sum Free the equation gallons Geometrical Progression given equation given number gives greatest common divisor Hence highest power integer last term least common multiple letter logarithm monomials number of terms obtained places of decimals polynomial Problem proportion quantities in example quotient radical quantities ratio real root reduced remainder required equation required root Scholium second term Solution Solve the equation square root substitution subtracted tained term multiplied tity unity unknown quan unknown quantity whence wine
Passagens conhecidas
Página 262 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 47 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 149 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 54 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Página 203 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Página 99 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.