Pythagorean triangles of equal areas (Q1109804)
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scientific article; zbMATH DE number 4070996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pythagorean triangles of equal areas |
scientific article; zbMATH DE number 4070996 |
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Pythagorean triangles of equal areas (English)
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1988
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The author finds triples of rational Pythagorean triangles having equal areas by solving \((*)\quad a^ 2\pm ab+b^ 2=c^ 2\) using Pell equations. Because the corresponding Pell equations have infinitely many solutions he gets an infinity of solutions of (*) and therefore infinitely many such triples.
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triples of rational Pythagorean triangles
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equal areas
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Pell equations
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0.9068341
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