A Procedure for the Squaring of a Circle (of Any Radius)
A Procedure for the Squaring of a Circle (of Any Radius)作者机构:Delaware State University Dover USA
出 版 物:《Advances in Pure Mathematics》 (理论数学进展(英文))
年 卷 期:2023年第13卷第2期
页 面:96-102页
学科分类:08[工学] 0812[工学-计算机科学与技术(可授工学、理学学位)]
主 题:Famous Problems in Mathematics Archimedes College Mathematics Involute Mean Proportional Principle Squaring the Circle Quadrature Geometer’s Sketch Pad College Geometry
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.