TITLE:
A Procedure for the Squaring of a Circle (of Any Radius)
AUTHORS:
Lyndon O. Barton
KEYWORDS:
Famous Problems in Mathematics, Archimedes, College Mathematics, Involute, Mean Proportional Principle, Squaring the Circle, Quadrature, Geometer’s Sketch Pad, College Geometry
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.13 No.2,
February
27,
2023
ABSTRACT: 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.