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Contents: Discovery of the Antikythera shipwreck; Discovery of & research on the mechanism fragments, 1902-73; The casing, general construction, & dial work; The arrangement in depth of the plates & components of the mechanism; The door plates & the gen. orientation & use of the mechanism; The accuracy of estimating gear teeth numbers; Description of individual gears; Description of gear trains; The inscriptions; The Antikythera mechanism as an historical document; The early history of gearing & clockwork; & The invention of complicated clockwork & the differential gear. Appendix: Composition of the metal fragments, with contributions by Earle R. Caley & Cyril S. Smith; & Technical note on radiography of fragments. Illustrations.