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]
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-58059-3_3
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-58058-6
Online ISBN: 978-3-319-58059-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)