An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página 11
... tained from the product of the positive terms A and B , or from that of the negative terms C and D ; but the negative terms of the product , as · AD , are obtained from the product of the negative term of one factor by the positive term ...
... tained from the product of the positive terms A and B , or from that of the negative terms C and D ; but the negative terms of the product , as · AD , are obtained from the product of the negative term of one factor by the positive term ...
Página 14
... tained in the dividend , and simply indicating the division with regard to the remaining factors of the divisor . Hence , from art . 25 , Suppress the greatest common factor of the numeri- cal coefficients . Retain each letter of the ...
... tained in the dividend , and simply indicating the division with regard to the remaining factors of the divisor . Hence , from art . 25 , Suppress the greatest common factor of the numeri- cal coefficients . Retain each letter of the ...
Página 35
... tained is the product of all the denominators , the fractions are all reduced to the same denominator . 49. But fractions can be reduced to a common denomi- nator which is smaller than their continued product , when- ever their ...
... tained is the product of all the denominators , the fractions are all reduced to the same denominator . 49. But fractions can be reduced to a common denomi- nator which is smaller than their continued product , when- ever their ...
Página 40
... tained from the division of unity by the quantity . Thus , the reciprocal of a is 1 - a or a - 1 , that of an is or a " , that of a - n is a " , and that of 1 an a a b is 1 or b b α Hence the product of a quantity by its reciprocal is ...
... tained from the division of unity by the quantity . Thus , the reciprocal of a is 1 - a or a - 1 , that of an is or a " , that of a - n is a " , and that of 1 an a a b is 1 or b b α Hence the product of a quantity by its reciprocal is ...
Página 58
... tained in them . But before deciding to which class an equation belongs , it should be freed from fractions , from negative exponents , and from the radical signs which affect its unknown quantities ; its members should , if possible ...
... tained in them . But before deciding to which class an equation belongs , it should be freed from fractions , from negative exponents , and from the radical signs which affect its unknown quantities ; its members should , if possible ...
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.