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Quadrature & Trisection: Geometric Constructions
This lecture covers the geometric constructions of quadrature and trisection, focusing on the challenges of constructing figures using ruler and compass. It delves into the historical context of these problems, such as the quadrature of the circle and the trisection of any angle, exploring their non-constructibility with traditional tools. The presentation also discusses the work of mathematicians like Pierre Laurent Wantzel and the limitations of ruler-and-compass constructions. Additionally, it touches upon the significance of these problems in the context of Euclidean geometry and the broader realm of geometric constructions.