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  2. The Method of Mechanical Theorems - Wikipedia

    en.wikipedia.org/wiki/The_Method_of_Mechanical...

    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 ...

  3. On the Sphere and Cylinder - Wikipedia

    en.wikipedia.org/wiki/On_the_Sphere_and_Cylinder

    The ratio of the volume of a sphere to the volume of its circumscribed cylinder is 2:3, as was determined by Archimedes. The principal formulae derived in On the Sphere and Cylinder are those mentioned above: the surface area of the sphere, the volume of the contained ball, and surface area and volume of the cylinder.

  4. Archimedes - Wikipedia

    en.wikipedia.org/wiki/Archimedes

    Cicero Discovering the Tomb of Archimedes (1805) by Benjamin West. Archimedes was born c. 287 BC in the seaport city of Syracuse, Sicily, at that time a self-governing colony in Magna Graecia. The date of birth is based on a statement by the Byzantine Greek scholar John Tzetzes that Archimedes lived for 75 years before his death in 212 BC. [9]

  5. Archimedes' principle - Wikipedia

    en.wikipedia.org/wiki/Archimedes'_principle

    Archimedes' principle (also spelled Archimedes's principle) states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces. [1] Archimedes' principle is a law of physics fundamental to fluid mechanics. It was formulated by Archimedes of ...

  6. Archimedes Palimpsest - Wikipedia

    en.wikipedia.org/wiki/Archimedes_Palimpsest

    The Archimedes Palimpsest is a parchment codex palimpsest, originally a Byzantine Greek copy of a compilation of Archimedes and other authors. It contains two works of Archimedes that were thought to have been lost (the Ostomachion and the Method of Mechanical Theorems ) and the only surviving original Greek edition of his work On Floating ...

  7. Archimedes's cattle problem - Wikipedia

    en.wikipedia.org/wiki/Archimedes's_cattle_problem

    Archimedes's cattle problem (or the problema bovinum or problema Archimedis) is a problem in Diophantine analysis, the study of polynomial equations with integer solutions. Attributed to Archimedes , the problem involves computing the number of cattle in a herd of the sun god from a given set of restrictions.

  8. Archimedes-lab.org - Wikipedia

    en.wikipedia.org/wiki/Archimedes-lab.org

    Archimedes-lab.org has won several awards from scientific and educational publications, [3] including a Scientific American Web Award in 2003, [4] the National Council of Teachers of Mathematics Web Award, [5] and a mention in MERLOT, the Multimedia Educational Resource for Learning and Online Teaching [6] and in The DO-IT Center, the Disabilities, Opportunities, Internetworking, and ...

  9. Archimedean spiral - Wikipedia

    en.wikipedia.org/wiki/Archimedean_spiral

    The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes. The term Archimedean spiral is sometimes used to refer to the more general class of spirals of this type (see below), in contrast to Archimedes' spiral (the specific arithmetic spiral of ...