An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página 15
... equal to its exponent in the divisor , when , for instance , am is to be divided by am , the exponent of the letter in the quo- Exponent equal to Zero . Negative Exponents . tient becomes CH . I. § V. ] 15 DIVISION .
... equal to its exponent in the divisor , when , for instance , am is to be divided by am , the exponent of the letter in the quo- Exponent equal to Zero . Negative Exponents . tient becomes CH . I. § V. ] 15 DIVISION .
Página 16
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Exponent equal to Zero . Negative Exponents . tient becomes zero . But the quotient of a quantity divided by itself is unity . Whence any quantity with an exponent ...
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Exponent equal to Zero . Negative Exponents . tient becomes zero . But the quotient of a quantity divided by itself is unity . Whence any quantity with an exponent ...
Página 20
... equal facility by using the terms which contain the lowest powers of a letter instead of those which contain the ... zero , and the larger the absolute value of the expo- nent the lower the power . 3 Thus , a5 x - 6 · a1x¬3 + a3 + a1x + ...
... equal facility by using the terms which contain the lowest powers of a letter instead of those which contain the ... zero , and the larger the absolute value of the expo- nent the lower the power . 3 Thus , a5 x - 6 · a1x¬3 + a3 + a1x + ...
Página 65
... equal to the quotient arising from the division of the second member by the ... 0 , the value of x is X = 0 . 93. Corollary . When we have the value of x is x ... zero , it must be contained an infi- nite number of times in the dividend ...
... equal to the quotient arising from the division of the second member by the ... 0 , the value of x is X = 0 . 93. Corollary . When we have the value of x is x ... zero , it must be contained an infi- nite number of times in the dividend ...
Página 66
... 0 , an obvious absurdity , unless B is zero . The sign is , therefore , rather to be regarded as the expression of ... equal to any quantity whatever , and is called an indeterminate expression . The given equation is , indeed , in this ...
... 0 , an obvious absurdity , unless B is zero . The sign is , therefore , rather to be regarded as the expression of ... equal to any quantity whatever , and is called an indeterminate expression . The given equation is , indeed , in this ...
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.