A Procedure for the Squaring of a Circle (of Any Radius)  

作　　者：Lyndon O. Barton Lyndon O. Barton(Delaware State University, Dover, USA)

机构地区：[1]Delaware State University, Dover, USA

出　　处：《Advances in Pure Mathematics》2023年第2期96-102,共7页理论数学进展（英文）

摘　　要：This paper presents a graphical procedure for the squaring of a circle of any radius. This procedure, which is based on a novel application of the involute profile, when applied to a circle of arbitrary radius (using only an unmarked ruler and a compass), produced a square equal in area to the given circle, which is 50 cm². This result was a clear demonstration that not only is the construction valid for the squaring of a circle of any radius, but it is also capable of achieving absolute results (independent of the number pi (π), in a finite number of steps), when carried out with precision.This paper presents a graphical procedure for the squaring of a circle of any radius. This procedure, which is based on a novel application of the involute profile, when applied to a circle of arbitrary radius (using only an unmarked ruler and a compass), produced a square equal in area to the given circle, which is 50 cm². This result was a clear demonstration that not only is the construction valid for the squaring of a circle of any radius, but it is also capable of achieving absolute results (independent of the number pi (π), in a finite number of steps), when carried out with precision.

关 键 词：Famous Problems in Mathematics ARCHIMEDES College Mathematics INVOLUTE Mean Proportional Principle Squaring the Circle QUADRATURE Geometer’s Sketch Pad College Geometry 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]