Constructing Cubic Curves with Involutions
History and Overview
2021-06-16 v1 Algebraic Geometry
Abstract
In 1888, Heinrich Schroeter provided a ruler construction for points on cubic curves based on line involutions. Using Chasles' Theorem and the terminology of elliptic curves, we give a simple proof of Schroeter's construction. In addition, we show how to construct tangents and additional points on the curve using another ruler construction which is also based on line involutions.
Cite
@article{arxiv.2106.08154,
title = {Constructing Cubic Curves with Involutions},
author = {Lorenz Halbeisen and Norbert Hungerbühler},
journal= {arXiv preprint arXiv:2106.08154},
year = {2021}
}
Comments
14 pages, 8 figures