An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
No interior do livro
Resultados 1-5 de 23
Página
... rules : - Members shall be entitled to take from the Library two folio or quarto volumes , or four volumes of lesser fold , with the plates belonging to the same , upon having them recorded by the Librarian , or Assistant Librarian ...
... rules : - Members shall be entitled to take from the Library two folio or quarto volumes , or four volumes of lesser fold , with the plates belonging to the same , upon having them recorded by the Librarian , or Assistant Librarian ...
Página 6
... rule for reducing polynomials , which contain similar terms , is too obvious to require demonstration . Find the sum of the similar positive terms by add- ing their coefficients , and in the same way the sum of their similar negative ...
... rule for reducing polynomials , which contain similar terms , is too obvious to require demonstration . Find the sum of the similar positive terms by add- ing their coefficients , and in the same way the sum of their similar negative ...
Página 14
... is positive , and it must be the reverse of that of the divisor when the dividend is negative ; whence we readily obtain the rule . Division of Monomials . When the divisor and dividend are 14 [ CH . I. § V. ALGEBRA .
... is positive , and it must be the reverse of that of the divisor when the dividend is negative ; whence we readily obtain the rule . Division of Monomials . When the divisor and dividend are 14 [ CH . I. § V. ALGEBRA .
Página 15
... rule for the signs in both division and multiplication may be expressed still more concisely as follows . Like signs give + ; unlike signs give — . EXAMPLES . 13 b 1. Divide 65 a b by 5 a . Ans . -1 2. Divide - - 132 a5 b3c by 11 a3 b3 ...
... rule for the signs in both division and multiplication may be expressed still more concisely as follows . Like signs give + ; unlike signs give — . EXAMPLES . 13 b 1. Divide 65 a b by 5 a . Ans . -1 2. Divide - - 132 a5 b3c by 11 a3 b3 ...
Página 17
... rules already given , the signs being carefully attended to . EXAMPLES . 1. Find the sum of 7 a - 3 + 9 am b - r - 6ab - 2co , -3a - 3 , 5 amb - p + 11 ab - 2 ce , a - 3-14 amb - P . Ans . 5a - 35 ab - 2 ce . 2. Reduce the polynomial 9 ...
... rules already given , the signs being carefully attended to . EXAMPLES . 1. Find the sum of 7 a - 3 + 9 am b - r - 6ab - 2co , -3a - 3 , 5 amb - p + 11 ab - 2 ce , a - 3-14 amb - P . Ans . 5a - 35 ab - 2 ce . 2. Reduce the polynomial 9 ...
Outras edições - Ver tudo
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 |
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.