An Elementary Treatise On Algebra, to Which Are Added Exponential Equations And Logarithms; With Table of Errata
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7* fS ALGEBRA. [cH. III. § HI, Cases in which the value of the unknown quantity is indeterminate.
Ans. When a = b, and the absurdity is that, while both the wines are of the same value, they should give a mixture of a value differ- ent from their common value.
3: In what case would the denominators of the fractional values of the unknown quantities in example 41 of art. 120 become zero 1 and what is the corresponding absurdity of the enunciation ?
Ans. When an = b m, that is, when a : b = m : n... ; and the absurdity is, that the ratio of two unequal num- bers should not be changed by increasing them both by the same quantity.
4. In what case would the denominators of the fractional values of the unknown quantities in example 48 of art. 126 become zero ? and what is the corresponding absurdity of the enunciation 1 Ann. When a = 0, and the absurdity is, that the squares of two equal num- bers should differ.
131. Corollary. When the solution of a problem gives for the value of either of its unknown quanti- ties a fraction whose terms are each equal to zero, this value generally indicates that the conditions of the problem are not sufficient to determine this un- known quantity, and that it may have any value whatever.
What to read after An Elementary Treatise On Algebra, to Which Are Added Exponential Equations And Logarithms; With Table of Errata?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Peirce to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
7* fS ALGEBRA. [cH. III. § HI, Cases in which the value of the unknown quantity is indeterminate.
Ans. When a = b, and the absurdity is that, while both the wines are of the same value, they should give a mixture of a value differ- ent from their common value.
3: In what case would the denominators of the fractional values of the unknown quantities in example 41 of art. 120 become zero 1 and what is the corresponding absurdity of the enunciation ?
Ans. When an = b m, that is, when a : b = m : n... ; and the absurdity is, that the ratio of two unequal num- bers should not be changed by increasing them both by the same quantity.
4. In what case would the denominators of the fractional values of the unknown quantities in example 48 of art. 126 become zero ? and what is the corresponding absurdity of the enunciation 1 Ann. When a = 0, and the absurdity is, that the squares of two equal num- bers should differ.
131. Corollary. When the solution of a problem gives for the value of either of its unknown quanti- ties a fraction whose terms are each equal to zero, this value generally indicates that the conditions of the problem are not sufficient to determine this un- known quantity, and that it may have any value whatever.
What to read after An Elementary Treatise On Algebra, to Which Are Added Exponential Equations And Logarithms; With Table of Errata?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Peirce to read onlineMoreLess
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