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.
Archimedes was a great civilization all by himself . [1]
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Bibliography
George F. Simmons, Calculus Gems, p. 43, McGraw-Hill, 1992.
Thomas L. Heath, The Works of Archimedes, Dover Publications, 2002.
Tom M. Apostol and Mamikon A. Mnatsakanian, New Horizons in Geometry, MAA, 2012.
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Mnatsakanian, M. (2017). Archimedes the Geometer. In: Rorres, C. (eds) Archimedes in the 21st Century. Trends in the History of Science. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-58059-3_3
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DOI: https://doi.org/10.1007/978-3-319-58059-3_3
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Publisher Name: Birkhäuser, Cham
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Online ISBN: 978-3-319-58059-3
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