TITLE:
A Method for the Squaring of a Circle
AUTHORS:
Lyndon O. Barton
KEYWORDS:
Famous Problems in Mathematics, Archimedes, College Mathematics, Cycloidal Construction, Mean Proportional Principle, Squaring the Circle, Quadrature, Geometer’s Sketch Pad, College Geometry
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.9,
September
27,
2022
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 cm2, it produced a square having an area of 12.7 cm2, 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.