摘要
给出判定Evans问题有解的一个充分条件,由此构造出一类新的Evans三角形,其三边长分别为8k5-8k3+k+1,8k5-8k3+k-1和2k,三角形中最短边上的高与该边长之比是2(k2-1)(2k2-1),这里k是大于1的正整数.
This paper deals with Evans triangle.We provide a sufficient condition for solving the Evans problem.A new family of Evans triangles is therefore established with each triangle having three sides equal to,respectively,8k5-8k3＋k＋1,8k5-8k3＋k-1and 2k,and the ratio of the height on the shortest side to the length of the side is 2（k2-1）（2k2-1）.Here k1is a positive integer.
出处
《高等数学研究》
2014年第1期31-32,共2页
Studies in College Mathematics
基金
江苏省教育科学"十二五"规划课题(D201301083)
