Recovering a Circumscriptible Tetrahedron from Its Face Areas

  • Mowaffaq HajjaEmail author
  • Panagiotis T. Krasopoulos


It is shown that a circumscriptible tetrahedron is completely determined by its face areas. This contrasts heavily with the fact that a general tetrahedron is not completely determined by its face areas, even if its volume and its circumradius are also given.


Circumscriptible tetrahedron face areas 

Mathematics Subject Classification

Primary 51M04 Secondary 52B10 



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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Basic Sciences and MathematicsPhiladelphia UniversityAmmanJordan
  2. 2.Department of InformaticsK.E.A.O. Unified Social Security FundAthensGreece

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