CONSTRUCTING A PERPENDICULAR BISECTOR USING COMPASS AND STRAIGHTEDGE: A FUNDAMENTAL GEOMETRIC METHOD
Keywords:
Compass and straightedge, perpendicular bisector, geometric constructionAbstract
This article investigates one of the most elementary yet fundamental problems in classical Euclidean geometry: constructing the perpendicular bisector of a line segment using only a compass and straightedge. The study outlines the theoretical background, presents a step-by-step construction method, and discusses its applications in both historical and modern mathematical contexts. The simplicity and power of this method reveal its pedagogical value in developing geometric intuition and precision.
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