理论面积的环面简易展开法—比例圆法

本文从理论上研讨了如何在环面展开图中能得到环面理论面积的展开方法,由此提出一种既能得到环面展开理论面积,作图又很简便的圆环面展开法——比例圆法,分析了比例圆法与圆柱面法展开圆环面之间的差异,并说明了用比例圆法也可非常方便地获得圆柱面法展开圆环面时的图形.

Proportional Circle Method-simple Way to Develop a Torus with a Theoretical Area

It is generally considered that a torus cannot be developed.The currentmethods for the development of a torus are approximations.With these methods,the area obtained is not the exact theoretical area and it is not easy to draw.This paper makes a theoretical discussion of the possibility of obtaining the the-oretical area of a torus from its developed figure.On the basis of this discussion ahew method,the Proportional Circle Method,is proposed which enables us notonly to get the theoretical area of a torus but to make its drawing easily and simply.