An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Página 47
Corollary . Either antecedent may be repeated any number of times in the above
sum , provided its consequent is also repeated the same number of times . 95.
Corollary . Either antecedent may be subtracted instead of being added ,
provided ...
Corollary . Either antecedent may be repeated any number of times in the above
sum , provided its consequent is also repeated the same number of times . 95.
Corollary . Either antecedent may be subtracted instead of being added ,
provided ...
Página 88
Corollary . When there are just as many equations as unknown quantities , the
final equation of the preceding solution will , in general , contain but one
unknown quantity , the value of which may be thence obtained ; and this value ,
being ...
Corollary . When there are just as many equations as unknown quantities , the
final equation of the preceding solution will , in general , contain but one
unknown quantity , the value of which may be thence obtained ; and this value ,
being ...
Página 113
Corollary . By reversing the sign of v , it may be shown , in the same way , that the
derivative of the difference of two functions is the difference of their derivatives . V
170. Corollary . The derivative of the algebraic sum of several functions ...
Corollary . By reversing the sign of v , it may be shown , in the same way , that the
derivative of the difference of two functions is the difference of their derivatives . V
170. Corollary . The derivative of the algebraic sum of several functions ...
Página 187
Corollary . In like manner any other term , such as the mth , is a + m - 1 ) . 247.
Corollary . By writing the series in an inverted order , beginning with the last term
, a new series is found , of which the first term is l , and the common difference ...
Corollary . In like manner any other term , such as the mth , is a + m - 1 ) . 247.
Corollary . By writing the series in an inverted order , beginning with the last term
, a new series is found , of which the first term is l , and the common difference ...
Página 267
Corollary . When the base is less than unity , it follows , from art . 3 , that the
logarithms of all numbers greater than unity are negative , while those of all
numbers less than unity are positive . But when , as is almost always the case ,
the base is ...
Corollary . When the base is less than unity , it follows , from art . 3 , that the
logarithms of all numbers greater than unity are negative , while those of all
numbers less than unity are positive . But when , as is almost always the case ,
the base is ...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ... Benjamin Peirce Visualização integral - 1842 |
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 |
Palavras e frases frequentes
affected approximate values arithmetical becomes body called coefficient consequently contained continued fraction continued product Corollary corresponding decimal denominator denote derivative difference Divide dividend division Elimination equal roots equation 23 EXAMPLES exponent expression Extract factor figure Find Find the greatest Find the square Find the sum follows fourth fraction Free function gallons given equation gives greater greatest common divisor Hence imaginary increased infinite integral known last term least less letter limit logarithm means method monomials multiplied negative number of real number of terms obtained places polynomial positive Problem progression Proof proportion putting quotient ratio real roots reduced remainder result reverse row of signs Solution Solve the equation square root substitution subtracted successive suppressed Theorem third true unity unknown quantity variable whence wine
Passagens conhecidas
Página 46 - 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 190 - 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 266 - The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor.
Página 61 - A term may be transposed from one member of an equation to the other by changing its sign.
Página 184 - I = the last term, r = the common difference, n = the number of terms, S = the sum of all 'the terms.
Página 53 - 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 30 - 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 125 - 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 230 - 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 45 - 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...
Informação bibliográfica
| Título | An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925 |
| Autor | Benjamin Peirce |
| Editora | J. Munroe, 1843 |
| Original de | Universidade de Harvard |
| Digitalizado | 20 Fev 2007 |
| Número de páginas | 284 páginas |
| Exportar citação | BiBTeX EndNote RefMan |