摘要
“三正弦不等式”是一个涉及三个三角形的三元二次型不等式,统一了大批有关三角形的几何不等式,本文应用它的一个推论,推导出一些新的三角形不等式,提出并应用计算机验证了两个有关的猜想.
“The three sines inequality” is a ternary quadratic inequality related to three triangles, which unifies quite a lot of geometric inequalities concerned with triangles. Using one of its corollaries, this paper aims at obtaining some new triangle inequalities and raising two conjectures concerned that were verified by computer.
出处
《沈阳师范大学学报(自然科学版)》
CAS
2005年第4期344-346,共3页
Journal of Shenyang Normal University:Natural Science Edition
关键词
三角形
实数
不等式
triangle
real numbers
inequality