Constructions by ruler and compass, together with a fixed conic
History and Overview
2012-10-31 v1
Abstract
It is well-known to be impossible to trisect an arbitrary angle and duplicate an arbitrary cube by a ruler and a compass. On the other hand, it is known from the ancient times that these constructions can be performed when it is allowed to use several conic curves. In this paper, we prove that any point constructible from conics can be constructed using a ruler and a compass, together with a single fixed non-degenerate conic different from a circle.
Cite
@article{arxiv.1210.8046,
title = {Constructions by ruler and compass, together with a fixed conic},
author = {Seungjin Baek and Insong Choe and Yoonho Jung and Dongwook Lee and Junggyo Seo},
journal= {arXiv preprint arXiv:1210.8046},
year = {2012}
}
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