平面几何图形的构成与约束关系研究

在平面几何图形的构成与作图中,对于圆来说通常都以给出圆的半径作为基本前提,其缺点在于不具有普遍性。实际应用中,由于设计需要或条件限制,有时会遇到圆的半径不能或不便于给出的情形。为使图形的构成具有广泛适用性,提出了约束条件的概念。阐述了平面几何图形的构成与约束条件之间的内在联系,拓宽了圆在图形构成中的给定方式,同时,依据约束条件也有利于平面几何图形作图步骤及尺寸数量的判定。

Investigation of the 2-D Geometric Graphic Structure and Constraining Relationship

In constructing and drawing a 2-D geometric graphic,usually using the radius of a circle as the base for a circular figure.However,the drawback of this approach is its lack of commonality.In practical applications,sometimes obtaining the circular radius may be neither available nor convenient because of the design specification or constrain of conditions provided.In order to extend the applicability of figure＇s construction,the concept of Constraining Condition is proposed.This concept states the internal relationship between 2-D geometric graphic structure and constraining condition,and thus extends the applicability of circular graphic.Meanwhile,using this approach also benefits 2-D geometric graphic structure and the adjustment of the dimensions.