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A Procedure for the Squaring of a Circle (of Any Radius)
Delaware State University, Dover, USA
- 1 Delaware State University, Dover, USA
Advances in Pure Mathematics·Volume 13 (2023)·Pages 96–102·Published 27 February 2023·DOI10.4236/apm.2023.132005
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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 cm 2 . 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.
KeywordsFamous Problems in MathematicsArchimedesCollege MathematicsInvoluteMean Proportional PrincipleSquaring the CircleQuadratureGeometer’s Sketch PadCollege Geometry
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