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History of Science Alexandria Library

History of Science Online

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LibraryThing: Science in Ancient Mesopotamia Week 5: Hellenistic Science

Archimedes of Syrakusa, d. 212 BC

Background

Syrakusa in Sicily (map)Mathematics also flourished outside of Alexandria in the Hellenistic period.

Galileo, On Floating Bodies (1612)Archimedes of Syrakusa (d. 212 B.C.) developed the field of mathematical statics and the law of the lever with his Treatise on the Balance. He contributed to arithmetic with The Sand Reckoner and The Cattle Problem, both of which devised methods for expressing extremely large numbers. He deduced many new geometrical theorems in On the Sphere and the Cylinder, Measurement of the Circle, and On Spirals. He developed the concept of density and what is now known as “Archimedes' Principle” in On Floating Bodies. The work of Archimedes stands as one of the most ingenious accomplishments in Greek mathematics, and was later to significantly influence mathematicians and philosophers of the late middle ages and Renaissance, particularly Galileo (thumbnail, left).

Below are some images from early printed editions of Archimedes held in the History of Science Collections:

Archimedes, 1543. Title page. Archimedes, 1792. Title page. Archimedes, 1792. Frontispiece (note figure Archimedean figure drawn in the sand). Archimedes, 1792.  Sample page (parabolas).

Assignments

  1. Review what Lindberg says about Archimedes (2007, pp. 109-110; 1992, pp. 89, 108-110).
  2. Read this summary of the life and works of Archimedes from the MacTutor Archive of the Department of Mathematics of the University of St. Andrews, Scotland.
  3. Read Michael Lahanas' account of Archimedes' use of gears.

 

"Give me a lever and a place to stand and I will move the world." Archimedes

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HSCI 3013. History of Science to 17th centuryCreative Commons license
Kerry Magruder, Instructor, 2004
-14
Brent Purkaple, TA

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Many thanks to the pedagogical model developed in Mythology and Folklore and other online courses by Laura Gibbs, which have been an inspiration for this course.

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