An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página v
... ) , Similar terms ( 18 ) , positive and negative terms ( 19 ) , Reduction of polynomial ( 20 ) , . 5 SECTION II . Addition ( 21 , 22 ) , SECTION III . Subtraction ( 23 , 24 ) , 8 SECTION IV . - Multiplication ( 25 – 29 )
... ) , Similar terms ( 18 ) , positive and negative terms ( 19 ) , Reduction of polynomial ( 20 ) , . 5 SECTION II . Addition ( 21 , 22 ) , SECTION III . Subtraction ( 23 , 24 ) , 8 SECTION IV . - Multiplication ( 25 – 29 )
Página vi
... negative factors ( 27 ) , of sum and difference ( 28 ) , Product of homogeneous factors ( 29 ) , SECTION V. 9 9 13 13 Division ( 30-38 ) , 14 Quotient of monomials ( 30-33 ) , negative exponents ( 32 ) , Quotient of polynomial ( 34-36 ...
... negative factors ( 27 ) , of sum and difference ( 28 ) , Product of homogeneous factors ( 29 ) , SECTION V. 9 9 13 13 Division ( 30-38 ) , 14 Quotient of monomials ( 30-33 ) , negative exponents ( 32 ) , Quotient of polynomial ( 34-36 ...
Página vii
... ( 97 ) , 77 Negative solutions ( 98 ) , 80 SECTION IV . Equations of the First Degree containing two or more Unknown Quantities ( 100– 120 ) , • . 85 Same letter used to denote different values ( 100 ) CONTENTS . vii.
... ( 97 ) , 77 Negative solutions ( 98 ) , 80 SECTION IV . Equations of the First Degree containing two or more Unknown Quantities ( 100– 120 ) , • . 85 Same letter used to denote different values ( 100 ) CONTENTS . vii.
Página 6
... negative terms . The difference of these sums preceded by the sign of the greater , may be substituted as a single term for the terms from which it is obtained . When these sums are equal , they cancel each other , and the corresponding ...
... negative terms . The difference of these sums preceded by the sign of the greater , may be substituted as a single term for the terms from which it is obtained . When these sums are equal , they cancel each other , and the corresponding ...
Página 8
... negative terms ; then AB is the quantity to be subtracted , and let C denote the quantity from which it it is to be taken . If A alone be taken from C , the remainder C A is as much too small as the quantity subtracted is too large ...
... negative terms ; then AB is the quantity to be subtracted , and let C denote the quantity from which it it is to be taken . If A alone be taken from C , the remainder C A is as much too small as the quantity subtracted is too large ...
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.