An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página 29
... successive divisions , that the term of the dividend , from which the term of the quotient is to be obtained , is not divisible by the correspond- ing term of the divisor . This , sometimes , arises from a monomial factor of the divisor ...
... successive divisions , that the term of the dividend , from which the term of the quotient is to be obtained , is not divisible by the correspond- ing term of the divisor . This , sometimes , arises from a monomial factor of the divisor ...
Página 102
... successive remainder may be placed equal to zero . But a remainder will at last be obtained , which does not contain the quantity to be eliminated ; and the equation , formed from placing this remainder equal to zero , is the equation ...
... successive remainder may be placed equal to zero . But a remainder will at last be obtained , which does not contain the quantity to be eliminated ; and the equation , formed from placing this remainder equal to zero , is the equation ...
Página 133
... successive coefficients of the hth power of a binomial , Z / h Z11 = ( a [ e ] xe + a [ o + 1 ] x2 + 1 ) k h = a [ e ] * xe h + H ( 1 ) a [ e ] h — 1a [ e + 1 ] xe h +1 + H2 ) a [ e ] h - 2 a [ e + 1 ] 2xes + 2 + & c . any term of which ...
... successive coefficients of the hth power of a binomial , Z / h Z11 = ( a [ e ] xe + a [ o + 1 ] x2 + 1 ) k h = a [ e ] * xe h + H ( 1 ) a [ e ] h — 1a [ e + 1 ] xe h +1 + H2 ) a [ e ] h - 2 a [ e + 1 ] 2xes + 2 + & c . any term of which ...
Página 135
... successive coefficients had been represented by the successive letters of the alphabet , as a , b , c , & c . , the preceding rule and demonstration would have been just as applicable by changing the words " highest ac- cented letter ...
... successive coefficients had been represented by the successive letters of the alphabet , as a , b , c , & c . , the preceding rule and demonstration would have been just as applicable by changing the words " highest ac- cented letter ...
Página 141
... successive division , the successive divi- dends being the first terms of the successive remain- ders . EXAMPLES . 1. Find the 4th root of 81 x8 56x4 224 x3 + 16x + 1 . 216x7 +336 x 5 Solution . The operation is as follows , in which ...
... successive division , the successive divi- dends being the first terms of the successive remain- ders . EXAMPLES . 1. Find the 4th root of 81 x8 56x4 224 x3 + 16x + 1 . 216x7 +336 x 5 Solution . The operation is as follows , in which ...
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.