Geometric Constructions through Ordered Sets
General Mathematics
2025-09-29 v2
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.
Cite
@article{arxiv.2509.19361,
title = {Geometric Constructions through Ordered Sets},
author = {Liudmyla Morozova},
journal= {arXiv preprint arXiv:2509.19361},
year = {2025}
}
Comments
9 pages, 3 figures. Related to geometric constructions (General Mathematics)