An Elementary Treatise on Algebra: To which are Added Exponential Equations and LogarithmsJ. Munroe, 1837 - 276 páginas |
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Página iv
... fractions and logarithms into series , which is referred to the Theory of Functions . The polynomial theorem of Arbogast , in art . 137 , which , in beauty and facility of application , rivals the binomial theorem of Newton , will ...
... fractions and logarithms into series , which is referred to the Theory of Functions . The polynomial theorem of Arbogast , in art . 137 , which , in beauty and facility of application , rivals the binomial theorem of Newton , will ...
Página vi
... Fractions ( 52 , 53 ) , 37 SECTION III . Multiplication and Division of Fractions ( 54-60 ) , Reciprocal ( 57 , 58 ) , 39 40 Quantity transferred from one term to the other of a fraction ( 59 ) , 41 SECTION IV . Proportions ( 61-75 ) ...
... Fractions ( 52 , 53 ) , 37 SECTION III . Multiplication and Division of Fractions ( 54-60 ) , Reciprocal ( 57 , 58 ) , 39 40 Quantity transferred from one term to the other of a fraction ( 59 ) , 41 SECTION IV . Proportions ( 61-75 ) ...
Página vii
... fractions ( 85 , 86 ) , 58 58 59 59 59 59 60 62 Transposition of terms ( 87 , 88 ) , SECTION III . Solution of Equations of the First Degree , with one Unknown Quantity ( 89-99 ) , General form of equation ( 89 ) , Its solution and ...
... fractions ( 85 , 86 ) , 58 58 59 59 59 59 60 62 Transposition of terms ( 87 , 88 ) , SECTION III . Solution of Equations of the First Degree , with one Unknown Quantity ( 89-99 ) , General form of equation ( 89 ) , Its solution and ...
Página x
... Fractions ( 222-233 ) , Approximation to value of ratio ( 231 ) , Approximate roots of equation ( 232 , 233 ) , • 241 249 251 EXPONENTIAL EQUATIONS AND LOGARITHMS . SECTION I. EXPONENTIAL EQUATIONS ( 1–3 ) , . 257 SECTION II . NATURE ...
... Fractions ( 222-233 ) , Approximation to value of ratio ( 231 ) , Approximate roots of equation ( 232 , 233 ) , • 241 249 251 EXPONENTIAL EQUATIONS AND LOGARITHMS . SECTION I. EXPONENTIAL EQUATIONS ( 1–3 ) , . 257 SECTION II . NATURE ...
Página 24
... — y 5 -3 y3 + 3y2 + 3y | x3 + 3y | x2 6 10 y -3y5 + 3y3 10y2 -9y4 + 3y3 by yx2 +1 - 3 yx 3 + y3 3 y +2 Ans . -- 2y + 6y2 y2 3 - 3 y3x2 . + 3y2 Terms of a fraction may be multiplied or divided by 24- [ CH . I. § V. ALGEBRA .
... — y 5 -3 y3 + 3y2 + 3y | x3 + 3y | x2 6 10 y -3y5 + 3y3 10y2 -9y4 + 3y3 by yx2 +1 - 3 yx 3 + y3 3 y +2 Ans . -- 2y + 6y2 y2 3 - 3 y3x2 . + 3y2 Terms of a fraction may be multiplied or divided by 24- [ CH . I. § V. ALGEBRA .
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.