Open AccessRectangular hexahedrons as Fermat bases of quadrics
Author(s) -
Zvonko Čerin
Publication year - 2013
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.09.2.15
Subject(s) - fermat's last theorem , mathematics , algebra over a field , pure mathematics
2, which was resolved by synthetic methods first by Leonard Euler in 1750. An arbitrary rectangular hexahedron has a quadric as its Fermat locus. This quadric is either an ellipsoid, a rotational paraboloid or a hyperboloid with two sheets. Conversely, for every quadric from any of these three types one can ask to find all of its rectangular hexahedron Fermat bases which share a line of symmetry with the quadric.
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