Everything You Wanted to Know about Triangles but Were Afraid to Ask
Pythagorean triangles with integral sides have been the subject of a huge amount of mathematical inquiry. For example, Albert Beiler, author of Recreations in the Theory of Numbers, has been interested in Pythagorean triangles with large consecutive leg values. These triangles are as rare as diamond...
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| Published in | Wonders of Numbers |
|---|---|
| Main Author | |
| Format | Book Chapter |
| Language | English |
| Published |
New York, NY
Oxford University Press
04.01.2001
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| Subjects | |
| Online Access | Get full text |
| ISBN | 9780195133424 0195133420 |
| DOI | 10.1093/oso/9780195133424.003.0099 |
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| Abstract | Pythagorean triangles with integral sides have been the subject of a huge amount of mathematical inquiry. For example, Albert Beiler, author of Recreations in the Theory of Numbers, has been interested in Pythagorean triangles with large consecutive leg values. These triangles are as rare as diamonds for small legs. Triangle 3-4-5 is the first of these exotic gems. The next such one is 21-20-29. The tenth such triangle is quite large: 27304197-27304196-38613965. |
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| AbstractList | Pythagorean triangles with integral sides have been the subject of a huge amount of mathematical inquiry. For example, Albert Beiler, author of Recreations in the Theory of Numbers, has been interested in Pythagorean triangles with large consecutive leg values. These triangles are as rare as diamonds for small legs. Triangle 3-4-5 is the first of these exotic gems. The next such one is 21-20-29. The tenth such triangle is quite large: 27304197-27304196-38613965. |
| Author | Pickover, Clifford A. |
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| DOI | 10.1093/oso/9780195133424.003.0099 |
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| Keywords | Pythagorean triangles diamonds integral mathematical |
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| PublicationSubtitle | Adventures in Mathematics, Mind, and Meaning |
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| Snippet | Pythagorean triangles with integral sides have been the subject of a huge amount of mathematical inquiry. For example, Albert Beiler, author of Recreations in... |
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| Title | Everything You Wanted to Know about Triangles but Were Afraid to Ask |
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