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arXiv 0804.0010math.GM
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三角形面积数与立体矩形数

Triangle Area Numbers and Solid Rectangular Numbers

Konstantine D. Zelator

摘要:

在这项工作中,我们定义了一个三角形面积数是一个三角形的面积数,其边长为整数,其面积是一个有理数。在第17页的结果3中,我们证明了每个三角形面积数实际上是6的整数倍。并导出了三个整数边值必须满足的整除性等条件和公式。在第20和21页上,我们列出了所有不超过999的三角形区域编号。

英文摘要:

In this work, we define a triangle area number to be the area number of a triangle whose sides have integer lengths, and whose area is a rational number. In Result 3, on page 17, we prove that every triangle area number is in fact an integer which is a multiple of 6. Certain divisibility and other conditions and formulas are also derived, which the three integer sidelengths must satisfy. On pages 20 and 21, we list all the triangle area numbers not exceeding 999.

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。

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