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A Method for the Squaring of a Circle
Delaware State University, Dover, USA
- 1 Delaware State University, Dover, USA
Advances in Pure Mathematics·Volume 12 (2022)·Pages 535–540·Published 7 September 2022·DOI10.4236/apm.2022.129041
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Abstract
This paper presents a Method for the squaring of a circle ( i.e. , constructing a square having an area equal to that of a given circle). The construction, when applied to a given circle having an area of 12.7 cm 2 , it produced a square having an area of 12.7 cm 2 , using only an unmarked ruler and a compass. This result was a clear demonstration that not only is the construction valid for the squaring of a circle but also for achieving absolute results (independent of the number pi (π) and in a finite number of steps) when carried out with precision.
KeywordsFamous Problems in MathematicsArchimedesCollege MathematicsCycloidal ConstructionMean Proportional PrincipleSquaring the CircleQuadratureGeometer’s Sketch PadCollege Geometry
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