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Geometric Constructions through Ordered Sets

2025/09/18 by Morozova, Liudmyla
#51-XX #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2509.19361

Abstract

This work discusses an approach to solving geometric construction problems in which the given figure is included in a set ordered by construction steps. The flow of information is carried through the chain, allowing the original problem to be transformed and solved in a broader context. For demonstration, three classical tasks of construction are considered: proportional segments, a Gothic detail, and proportional angles.

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