节点文献
凸六边形的相对长边与相对短边
On Relatively Long and Short Sides of Convex Hexagon
【摘要】 就 Doliwaka和 Lassak提出的凸 n 边形的相对边问题 ,讨论 n=6的情形 .将凸六边形嵌入到平行四边形内 (边可重叠 ) ,利用对应边的边长比的关系可证任意凸六边形均有相对长边 ,有平行对边的凸六边形必有相对短边 .
【Abstract】 Doliwaka and Lassak proposed the problem of convex n-gon′s relatively sides.Convex hexagon is discussed.Convex hexagon H in a parallelogram P.Based on the ratio of the corresponding sides of P and H,show that every convex hexagon has a relatively long side and every convex hexagon with pair of parallel sides has a relatively short side.
【关键词】 相对距离;
仿射直径;
凸六边形;
相对长边;
相对短边;
【Key words】 relative distance; affine diameter; relatively long side; relatively short side; convex hexagon;
【Key words】 relative distance; affine diameter; relatively long side; relatively short side; convex hexagon;
【基金】 河北省自然科学基金资助项目 ( 199174)
- 【文献出处】 河北师范大学学报 , 编辑部邮箱 ,2002年03期
- 【分类号】O157.3
- 【被引频次】1
- 【下载频次】16