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Pythagorean Triples and a New Pythagorean Theorem

历史与综述 2007-05-23 v2 数论

摘要

Given a right triangle and two inscribed squares, we show that the reciprocals of the hypotenuse and the sides of the squares satisfy an interesting Pythagorean equality. This gives new ways to obtain rational(integer)right triangles from a given one.

关键词

引用

@article{arxiv.math/0701554,
  title  = {Pythagorean Triples and a New Pythagorean Theorem},
  author = {H. Lee Price and Frank R. Bernhart},
  journal= {arXiv preprint arXiv:math/0701554},
  year   = {2007}
}

备注

21 pages, 5 figures, 3 tables Repaired Bibliography