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Buch | Kapitel
Area, volume, measure
pp. 45-76
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Abstrakt
The synthetic approach to the theory of area and volume initiated by Euclid is described in the first section of this chapter. The area a of a polygonal region P is computed by decomposing P into a finite number of polygonal components with disjoint interiors, which can be reassembled to form a rectangle R with unit base: a is then the altitude of R. The volume of a polyhedral region can be reckoned in a similar way, but for that it is necessary to use some form of Eudoxus's method of exhaustion.
Publication details
Published in:
McFarland Andrew, McFarland Joanna, Smith James T (2014) Alfred Tarski: early work in Poland—geometry and teaching. Basel, Birkhäuser.
Seiten: 45-76
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DOI: 10.1007/978-1-4939-1474-6_4
Referenz:
McFarland Andrew, McFarland Joanna, Smith James T (2014) „Area, volume, measure“, In: A. Mcfarland, J. Mcfarland & J.T. Smith (eds.), Alfred Tarski, Basel, Birkhäuser, 45–76.