An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página 21
... known , by dividing by the known factor , and the quotient is the other factor . And when a letter occurs as a factor of all the terms of a quantity , it is a factor of the quantity , and may be taken out as a factor , with an exponent ...
... known , by dividing by the known factor , and the quotient is the other factor . And when a letter occurs as a factor of all the terms of a quantity , it is a factor of the quantity , and may be taken out as a factor , with an exponent ...
Página 64
... known quantities , whether positive or negative , and x is the unknown quantity . Demonstration . When an equation of the first degree with one unknown quantity is reduced , as in art . 88 , its first member is composed of two classes ...
... known quantities , whether positive or negative , and x is the unknown quantity . Demonstration . When an equation of the first degree with one unknown quantity is reduced , as in art . 88 , its first member is composed of two classes ...
Página 65
... known terms to the second member , and all its unknown terms to the first member ; and the value of the unknown quantity is equal to the quotient arising from the division of the second member by the multiplier of the unknown quantity ...
... known terms to the second member , and all its unknown terms to the first member ; and the value of the unknown quantity is equal to the quotient arising from the division of the second member by the multiplier of the unknown quantity ...
Página 77
... known quantity , and that it may have any value whatever . In some cases , however , there are limita- tions to the change of value of the unknown quan- tity . L EXAMPLES . 1. In what case would both the terms of the fractional value of ...
... known quantity , and that it may have any value whatever . In some cases , however , there are limita- tions to the change of value of the unknown quan- tity . L EXAMPLES . 1. In what case would both the terms of the fractional value of ...
Página 78
... known quantity . - But , in this case , all the algebraic values of the unknown quantity but the first become infi- nite , as they should , because they are obtained on the supposition that the second body has passed round the circle ...
... known quantity . - But , in this case , all the algebraic values of the unknown quantity but the first become infi- nite , as they should , because they are obtained on the supposition that the second body has passed round the circle ...
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.