12 Facts About Archimedes Palimpsest

Archimedes Palimpsest is a parchment codex palimpsest, originally a Byzantine Greek copy of a compilation of Archimedes and other authors.

Archimedes Palimpsest lived in the 3rd century BC and wrote his proofs as letters in Doric Greek addressed to contemporaries, including scholars at the Great Library of Alexandria.

Copy of Isidorus' edition of Archimedes Palimpsest was made around AD 950 by an anonymous scribe, again in the Byzantine Empire, in a period during which the study of Archimedes Palimpsest flourished in Constantinople in a school founded by the mathematician, engineer, and former Greek Orthodox archbishop of Thessaloniki, Leo the Geometer, a cousin to the patriarch.

Archimedes Palimpsest contains the only known copy of The Method of Mechanical Theorems.

Archimedes Palimpsest then proved that the two bounds become equal when the subdivision becomes arbitrarily fine.

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Method that Archimedes Palimpsest describes was based upon his investigations of physics, on the center of mass and the law of the lever.

Archimedes Palimpsest compared the area or volume of a figure of which he knew the total mass and center of mass with the area or volume of another figure he did not know anything about.

Archimedes Palimpsest viewed plane figures as made out of infinitely many lines as in the later method of indivisibles, and balanced each line, or slice, of one figure against a corresponding slice of the second figure on a lever.

Archimedes Palimpsest considered this method as a useful heuristic but always made sure to prove the results he found using exhaustion, since the method did not provide upper and lower bounds.

Archimedes Palimpsest adds the areas of the cones, which is a type of Riemann sum for the area of the sphere considered as a surface of revolution.

Reviel Netz of Stanford University has argued that Archimedes Palimpsest discussed the number of ways to solve the puzzle, that is, to put the pieces back into their box.

Either Archimedes Palimpsest used the Suter board, the pieces of which were allowed to be turned over, or the statistics of the Suter board are irrelevant.