An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página iv
... degree by the process of elimination . These examples might have been mul- tiplied to any extent , and are by no means acciden- tal in their formation . BENJAMIN PEIRCE . CONTENTS . 1 [ The figures in parentheses refer to iv PREFACE .
... degree by the process of elimination . These examples might have been mul- tiplied to any extent , and are by no means acciden- tal in their formation . BENJAMIN PEIRCE . CONTENTS . 1 [ The figures in parentheses refer to iv PREFACE .
Página viii
... Elimination by substitution ( 106 , 110-112 ) , Indeterminate problem ( 108 ) , Elimination by comparison ( 115 ) , Elimination by method of common divisor ( 116 – 120 ) 85 85 86 87 87 88 96 101 CHAPTER IV . Powers and Roots , 110 ...
... Elimination by substitution ( 106 , 110-112 ) , Indeterminate problem ( 108 ) , Elimination by comparison ( 115 ) , Elimination by method of common divisor ( 116 – 120 ) 85 85 86 87 87 88 96 101 CHAPTER IV . Powers and Roots , 110 ...
Página 87
... eliminations be still farther re- duced in number and in the number of their unknown quantities , until only one equation is finally obtained ; Solution of Equations . Elimination by Substitution . and the CH . III . IV . ] EQUATIONS OF ...
... eliminations be still farther re- duced in number and in the number of their unknown quantities , until only one equation is finally obtained ; Solution of Equations . Elimination by Substitution . and the CH . III . IV . ] EQUATIONS OF ...
Página 88
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Solution of Equations . Elimination by Substitution . and the solution of all the given equations is thus reduced to that of one equation . 107. Corollary . When ...
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Solution of Equations . Elimination by Substitution . and the solution of all the given equations is thus reduced to that of one equation . 107. Corollary . When ...
Página 91
... 4. Solve the two equations ax = by , Ans . x 3 , y = 2 . x + y = c . b c = : a c Ans . x = = a + b2 y = a + b Equations of the First Degree solved by Elimination by Substitution CH . III . § . IV . ] EQUATIONS OF THE FIRST Degree . 91.
... 4. Solve the two equations ax = by , Ans . x 3 , y = 2 . x + y = c . b c = : a c Ans . x = = a + b2 y = a + b Equations of the First Degree solved by Elimination by Substitution CH . III . § . IV . ] EQUATIONS OF THE FIRST Degree . 91.
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.