论别斯金定理  

On the Theorem of N.M.Biskin

作　　者：陈谷新[1] 

机构地区：[1]北京农业工程大学工程图学教研室

出　　处：《北京农业工程大学学报》1990年第3期89-95,共7页

摘　　要：在轴测投影理论中有3个著名的定理:克鲁巴第一、第二定理,别斯金定理。由于它们反映出中心轴测投影的基本性质,故称做'中心轴测基本定理'。别斯金认为,他提出的定理是对克鲁巴第二定理的改进,因此可用它替代第二定理。本文对此提出了不同的看法:由于存在3个不同层次的射影空间,因而有3个相应的中心轴测基本问题。别斯金定理不能替代克鲁巴第二定理,而且亦不适合作为任一射影空间的中心轴测基本定理。The first and second theorem of E.Kruppa and the Biskin's theorem are very famous in the domain of the projective theories.These theorems are called the fundamental theorems of the central axonometric projection(CAP),because they are represented the fundamental properties of the CAP.N.M.Biskin held that his theorem was an improvement on the second theorem of E.Kruppa,so it could be substituted for the theorem of E.Krup- pa.In this paper above—mentioned problems are studied and a different viewis put for- ward:It is necessary to make three fundamental theorems of the CAP,since there are three different level projective space.The Biskin's theorem cannot substitute the second theorem of E.Kruppa and cannot be used as the fundamental theorem of the CAP.

关 键 词：别斯金定理 中心轴测投影 射影空间 

分 类 号：O185.1[理学—数学]