标题： 三角形面积数和实心矩形数 显示英文标题

标题： Triangle Area Numbers and Solid Rectangular Numbers

摘要： 在本工作中，我们定义三角形面积数为边长为整数且面积为有理数的三角形的面积数。 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一个6的倍数整数。 还推导出了一些可除性及其他条件和公式，这三个整数边长必须满足。 在第20和21页，我们列出了不超过999的所有三角形面积数。 显示英文摘要

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.