CONSTRUCTIONS BY RULER AND COMPASS, TOGETHER WITH A FIXED CONIC
-
Published:2013-03-08
Issue:3
Volume:88
Page:473-478
-
ISSN:0004-9727
-
Container-title:Bulletin of the Australian Mathematical Society
-
language:en
-
Short-container-title:Bull. Aust. Math. Soc.
Author:
BAEK SEUNGJIN,CHOE INSONG,JUNG YOONHO,LEE DONGWOOK,SEO JUNGGYO
Abstract
AbstractIt 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 ancient times that these constructions can be performed when the use of several conic curves is allowed. 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 nondegenerate conic different from a circle.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics