Archimedes Palimpsest in the context of "Mar Saba"

A lost literary work (referred throughout this article just as a lost work) is a document, literary work, or piece of multimedia, produced of which no surviving copies are known to exist, meaning it can be known only through reference, or literary fragments. This term most commonly applies to works from the classical world, although it is increasingly used in relation to modern works. A work may be lost to history through the destruction of an original manuscript and all later copies.

Works—or, commonly, small fragments of works—have survived by being found by archaeologists during investigations, or accidentally by laypersons such as, for example, the finding Nag Hammadi library scrolls. Works also survived when they were reused as bookbinding materials, quoted or included in other works, or as palimpsests, where an original document is imperfectly erased so the substrate on which it was written can be reused. The discovery, in 1822, of Cicero's De re publica was one of the first major recoveries of a lost ancient text from a palimpsest. Another famous example is the discovery of the Archimedes Palimpsest, which was used to make a prayer book almost 300 years after the original work was written. A work may be recovered in a library, as a lost or mislabeled codex, or as a part of another book or codex.

In ancient Greek geometry, the Ostomachion, also known as loculus Archimedius (from Latin 'Archimedes' box') or syntomachion, is a mathematical treatise attributed to Archimedes. This work has survived fragmentarily in an Arabic version and a copy, the Archimedes Palimpsest, of the original ancient Greek text made in Byzantine times.

The word Ostomachion (Ὀστομάχιον) comes from Greek ὀστέον (osteon) 'bone' and μάχη (mache) 'fight, battle, combat'. The manuscripts refer to the word as "Stomachion", an apparent corruption of the original Greek. Ausonius gives us the correct name "Ostomachion" (quod Graeci ostomachion vocavere, "which the Greeks called ostomachion").

The Method of Mechanical Theorems (Greek: Περὶ μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένη ἔφοδος), also referred to as The Method, is one of the major surviving works of the ancient Greek polymath Archimedes. The Method takes the form of a letter from Archimedes to Eratosthenes, the chief librarian at the Library of Alexandria, and contains the first attested explicit use of indivisibles (indivisibles are geometric versions of infinitesimals). The work was originally thought to be lost, but in 1906 was rediscovered in the celebrated Archimedes Palimpsest. The palimpsest includes Archimedes' account of the "mechanical method", so called because it relies on the center of weights of figures (centroid) and the law of the lever, which were demonstrated by Archimedes in On the Equilibrium of Planes.

Archimedes did not admit the method of indivisibles as part of rigorous mathematics, and therefore did not publish his method in the formal treatises that contain the results. In these treatises, he proves the same theorems by exhaustion, finding rigorous upper and lower bounds which both converge to the answer required. Nevertheless, the mechanical method was what he used to discover the relations for which he later gave rigorous proofs.

Johan Ludvig Heiberg (27 November 1854 – 4 January 1928) was a Danish philologist and historian. He is best known for his discovery of previously unknown texts in the Archimedes Palimpsest, and for his edition of Euclid's Elements that T. L. Heath translated into English. He also published an edition of Ptolemy's Almagest.