arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0807.1073math.GM
收藏

一种生成有理三角形的简便方法

A simple method for generating rational triangles

Konstantine Zelator

摘要:

在本文的前半部分,推导了各种几何公式。然后,在本文的某个地方,引入了毕达哥拉斯理性的概念。一个毕达哥拉斯有理数是一个有理数,它是两个整数之比,这两个整数是毕达哥拉斯三角形的直角三角形。利用毕达哥拉斯有理数的思想,我们生成了两族有理三角形。我们定义一个有理三角形是一个三角形的合理边长和面积。

英文摘要:

In the early part of the paper, various geometrical formulas are derived. Then, at some point in the paper, the concept of a Pythagorean rational is introduced. A Pythagorean rational is a rational number which is the ratio of two integers which are the leglengths of a Pythagorean triangle. Using the idea of Pythagorean rationals, we generate two families of rational triangles. We define a rational triangle to be a triangle with rational sidelengths and area.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑