An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1843 - 284 páginas |
No interior do livro
Resultados 1-5 de 28
Página 18
... method to ar- range the terms of the dividend and divisor according to the powers of some letter , the term which contains the highest power being placed first , that which con- tains the next to the highest power being placed next ...
... method to ar- range the terms of the dividend and divisor according to the powers of some letter , the term which contains the highest power being placed first , that which con- tains the next to the highest power being placed next ...
Página 51
... Method of putting into equations . Let x = the original sum expressed in dollars . After taking away the third part and putting in its stead $ 50 , there remains two thirds of the original sum increased by $ 50 , or x + 50 . If from ...
... Method of putting into equations . Let x = the original sum expressed in dollars . After taking away the third part and putting in its stead $ 50 , there remains two thirds of the original sum increased by $ 50 , or x + 50 . If from ...
Página 87
... Method of Solution called that of Elimina- tion by Substitution . Find the value of either of the unknown quantities in one of the equations in which it occurs , and substitute its value thus found , which is generally in terms of the ...
... Method of Solution called that of Elimina- tion by Substitution . Find the value of either of the unknown quantities in one of the equations in which it occurs , and substitute its value thus found , which is generally in terms of the ...
Página 95
... method of solution be applied to a greater number of equations , it will lead to similar results . 152. EXAMples . 1. Solve the three equations 6 , x + y + z = 2x + 3y + 4 z = 20 , 3x + 7y + 5z = 32 . Ans . x = 1 , y = 2 , z = 3 . 2 ...
... method of solution be applied to a greater number of equations , it will lead to similar results . 152. EXAMples . 1. Solve the three equations 6 , x + y + z = 2x + 3y + 4 z = 20 , 3x + 7y + 5z = 32 . Ans . x = 1 , y = 2 , z = 3 . 2 ...
Página 96
... Method of solving the Problem of art . 142 , called that of Elimination by Comparison . Find the value of either of the unknown quantities in all the equations in which it is contained ; place either of the values thus obtained equal to ...
... Method of solving the Problem of art . 142 , called that of Elimination by Comparison . Find the value of either of the unknown quantities in all the equations in which it is contained ; place either of the values thus obtained equal to ...
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
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem proportion quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence
Passagens conhecidas
Página 48 - 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 192 - 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 268 - The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor.
Página 63 - A term may be transposed from one member of an equation to the other by changing its sign.
Página 186 - I = the last term, r = the common difference, n = the number of terms, S = the sum of all 'the terms.
Página 55 - 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 32 - The 2d line of col. 1 is the 1st line multiplied by 7 in order to render its first term divisible by the first term of the new divisor ; the remainder of the division is the 4th line of col.
Página 127 - Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend. III. Double the root already found and place it on the left for a divisor.
Página 232 - Rule. 324. An equation of any degree whatever cannot have a greater number of positive roots than there are variations in the signs of Us terms, nor a greater number of negative roots than there are permanences of these signs.
Página 47 - Likewise, the sum of the antecedents is to their difference, as the sum of the consequents is to their difference. Ratio of Sum of two first Terms to that of two last. Moreover, in finding...