Archimedes' problem

Archimedes' problem

[¦är·kə¦mēd‚ēz ′präb·ləm]
(mathematics)
The problem of dividing a hemisphere into two parts of equal volume with a plane parallel to the base of the hemisphere; it cannot be solved by Euclidean methods.
References in periodicals archive ?
Before general solutions of cubic equations were known, Archimedes' problem was the subject of study and research because the problem required solving a cubic equation.
The technique has been applied to constructions of Khayyyam's problem, regular monagons, regular heptagon, cube duplication, and Archimedes' problem.