학술논문
Constructions by ruler and compass, together with a fixed conic
Document Type
Working Paper
Source
Subject
Language
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.
Comment: Comments welcome!
Comment: Comments welcome!