On the algebraic fractions that represent approximately the square root of a variable taken between given limits. (Q1545655)
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scientific article; zbMATH DE number 2702048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the algebraic fractions that represent approximately the square root of a variable taken between given limits. |
scientific article; zbMATH DE number 2702048 |
Statements
On the algebraic fractions that represent approximately the square root of a variable taken between given limits. (English)
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1884
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Durch das angegebene Verfahren erhält man z. B. für \(\sqrt x\) zwischen \(x=\frac 1a\) und \(x=a\) den Bruch \(\frac{kx+1}{x+k}\), wo die Constante \(k\) durch die Gleichung \[ k^4-6k^2-4\left(a+\frac 1a\right)k-3=0 \] gegeben ist.
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Approximations of the square root
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