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Classification of the relative positions between a circular hyperboloid of one sheet and a sphere
Author(s) -
BrozosVázquez M.,
PereiraSáez M. J.,
SoutoSalorio M. J.,
TarríoTobar A. D.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5079
Subject(s) - hyperboloid , mathematics , polynomial , geometry , simple (philosophy) , great circle , mathematical analysis , philosophy , epistemology
We characterize all possible relative positions between a circular hyperboloid of one sheet and a sphere through the roots of a characteristic polynomial associated to these quadrics. As an application, this provides a method to detect contact between the 2 surfaces by a simple calculation in many real world applications.