论文标题
使用GNOMON的共同乘法器建造原始的毕达哥拉斯三元组和毕达哥拉斯的三元组
Construction of primitive Pythagorean triples and Pythagorean triples with a common multiplier using gnomons
论文作者
论文摘要
通过两个自变量的公式，传统的毕达哥拉斯原始三元组结构不允许其订购。该论文展示了关于原始毕达哥拉斯三元组的构建的新观点。提出了一种基于使用两个因变量的原始毕达哥拉斯三倍的面积与腿部正方形相等的面积与腿部正方形相等的土豆群的使用。这使得能够建造有序的毕达哥拉斯三元组的有序表。使用有序数据，可以以新的方式处理包括毕达哥拉斯三元组系统的问题的解决方案，例如构造欧拉（Eulerian）并行牵引，构造完美的核心，或以两种颜色着色的自然数字问题，因此没有毕达哥拉斯三重三重的三重为单色（一个单色）（一种ramsey理论的问题）。
The traditional construction of primitive Pythagorean triples by the formulas of two independent variables does not allow their ordering. The paper shows a new view on the construction of primitive Pythagorean triples. A method for constructing primitive Pythagorean triples, based on the use of gnomons equal in area to the squares of the legs from a primitive Pythagorean triple, using two dependent variables, is proposed. This enables the ability to build an ordered table of primitive Pythagorean triples. Working with ordered data, it is possible to approach in a new way the solution of problems that include systems of Pythagorean triples, such as the construction of Eulerian parallelepipeds, the construction of a Perfect Cuboid, or the problem of coloring natural numbers in two colors so that no Pythagorean triple is monochrome (one of the problems of Ramsey theory).
