An Archimedes Palimsest was rediscovered by J.L.Heiberg in 1907 in Constantinople.

He translated most of the Greek text. It contains transcriptions of Archimedes´ geometry, physics and writing, eg. the Method .Here is described a solid included between two cylinders, each of which is inscribed in one and the same cube so that its opposite bases are

in the two opposite faces of the cube and its surfaces touches the other four faces. The solid has four equal faces, four edges and two corners. If the radius of the cylinders is R, the edges of the cube are 2R. The diagonal of the solid faces is pR (= half the cylinder circle) and the short diagonal is 2R (= the cube edge). The volume of the solid is 2/3 of the cube volume.

(An Archimedean Palimpsest was discovered in Constantinople by JL Heiberg in 1907. He translated most of the greek text.It contains Archimedes´ geometry,physics and writing, eg. The Method.)

References:J.L.Heiberg:Hermes, Zeitschrift für Klassische Philologie,1907,p.235

J.L.Heiberg und H.G.Zeuthen,Biblioteca Mathematica, Ban 7, 1907, p.321

Th.L.Heath: The Method of Archimedes ; recently discovered by Heiberg.-

A Supplement to the Works of Archimedes 1897.,Cambridge University

Press 1912

R.Netz: Physics Today,June 2000, p.32-37.

http:// www.omogenia.com/arch.htm