Constructions by ruler and compass, together with a fixed conic

Authors

  • S. Baek Seoul Science High School
  • I. Choe Konkuk University
  • Y. Jung Seoul Science High School
  • D. Lee Seoul Science High School
  • J. Seo Seoul Science High School

Keywords:

conic-constructible points, ruler and compass, conics, geometric construction

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. 10.1017/S0004972713000075

Author Biography

I. Choe, Konkuk University

Department of Mathematics

Published

2013-09-27

Issue

Section

Articles