duplication of the cube

Also found in: Dictionary, Wikipedia.

duplication of the cube:

see geometric problems of antiquitygeometric problems of antiquity,
three famous problems involving elementary geometric constructions with straight edge and compass, conjectured by the ancient Greeks to be impossible but not proved to be so until modern times.
..... Click the link for more information.
The Columbia Electronic Encyclopedia™ Copyright © 2013, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Duplication of the Cube


a classic problem of geometric construction dating back to ancient times. It is the problem of constructing a cube whose volume is twice that of a given cube. The problem is sometimes called the Delian problem because, according to legend, an oracle said that a plague on Delos, an island in the Aegean Sea, would come to an end if a certain cubic altar were doubled without changing its shape. The problem reduces to the construction of a line segment whose length is equal to Duplication of the Cube. As was proved in the 19th century, such a construction cannot be carried out with compasses and straightedge alone. The problem can be solved by making use of, for example, conic sections.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.