文章基本信息

标题：How to generate all integral triangles containing a given angle
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作者：Nelson Petulante ; Ifeoma Kaja
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：24
DOI：10.1155/S016117120000048X
出版社：Hindawi Publishing Corporation
摘要：We present an elementary prescription based on the rational secant method for generating all the integral triangles containing a given angle of rational cosine. This is a direct generalization of the ancient problem of finding all the Pythagorean triples. As an example, we discuss a specific equation studied by Diophantus of Alexandria, which turns out to be equivalent to the problem of finding all the integral triangles containing a 60∘ angle. The material developed here is elementary enough for inclusion in undergraduate courses and advanced high school courses.