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Rational tetrahedra with edges in arithmetic progression
- Source :
-
Journal of Number Theory . Mar2005, Vol. 111 Issue 1, p57-80. 24p. - Publication Year :
- 2005
-
Abstract
- Abstract: This paper discusses tetrahedra with rational edges forming an arithmetic progression, focussing specifically on whether they can have rational volume or rational face areas. Several infinite families are found which have rational volume, a face can have rational area only if its edges are themselves in arithmetic progression, and a tetrahedron can have at most one such rational face area. [Copyright &y& Elsevier]
- Subjects :
- *ARITHMETIC
*MATHEMATICS
*SET theory
*REAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 111
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 19203396
- Full Text :
- https://doi.org/10.1016/j.jnt.2004.07.009