正多边形平面投影特性研究  

Study on the Plane Projection Characteristic of Regular Polygon

作　　者：袁浩浩[1] 莫海宁[1] 周坚和[1] 

机构地区：[1]广西工学院,柳州545013

出　　处：《重庆科技学院学报（自然科学版）》2011年第3期175-177,共3页Journal of Chongqing University of Science and Technology：Natural Sciences Edition

基　　金：广西区教改项目(2010JGB058);广西工学院青年基金项目(院科自08104102)

摘　　要：分析正三边形各顶点到其投影面的距离和,进而推广到奇数正多边形和偶数正多边形的特性。研究结果表明,斜面上的任意正多边形,当它绕自身外接圆圆心转动时,转动前后各顶点到投影平面的距离和相等。The paper analyzes the sum of distances between each culmination of a regular triangle and its projection surface, and studies the characteristics for that of polygonal which is odd number and even number. The result is that when a polygonal circum-rotate around its center, the sum of distances between each culmination of the polygonal and its projection surface is equal with that after rotation.

关 键 词：正多边形 外接圆 距离和 平面投影 

分 类 号：O241[理学—计算数学]