Archimedes in the 21st Century pp 41-61 | Cite as
Archimedes the Geometer
Extending His Tombstone Theorem into the Twenty-First Century
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Abstract
Archimedes was a physicist, engineer, mathematician, and astronomer—but above all he was a geometer. He requested that the geometric result he was most proud of—that first revealed the volume and surface area of a sphere—be inscribed on his tombstone. This result is now known as his Tombstone Theorem and here we present a variety of extensions and generalizations of it for the 21st century.
Bibliography
- 1.George F. Simmons, Calculus Gems, p. 43, McGraw-Hill, 1992.Google Scholar
- 2.Thomas L. Heath, The Works of Archimedes, Dover Publications, 2002.Google Scholar
- 3.Tom M. Apostol and Mamikon A. Mnatsakanian, New Horizons in Geometry, MAA, 2012.Google Scholar
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© Springer International Publishing AG 2017