The sine and cosine rules for pure triangles on the dual lorentzian unit sphere S̃12

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dc.contributor.authorKazaz M.
dc.date.accessioned2024-07-22T08:23:49Z
dc.date.available2024-07-22T08:23:49Z
dc.date.issued2005
dc.description.abstractThe sine and cosine rules for a spherical pure triangle on the dual Lorentzian sphere were proved. On the Lorentzian sphere, there are points, but there are no straight lines, at least not in the usual sense. However, straight timelike, spacelike and lightlike lines in the Lorentzian plane are characterized by the fact that they are the shortest paths between points. The curves on the Lorentzian sphere with the same property are timelike, spacelike and lightlike circles. Thus it is natural to use these circles as replacements for lines.
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19698
dc.language.isoEnglish
dc.subjectDifferentiation (calculus)
dc.subjectFunctions
dc.subjectMathematical operators
dc.subjectSet theory
dc.subjectTheorem proving
dc.subjectVectors
dc.subjectCosine rules
dc.subjectDual Lorentzian space
dc.subjectDual unit sphere
dc.subjectSpacelike and timelike vectors
dc.subjectNumerical methods
dc.titleThe sine and cosine rules for pure triangles on the dual lorentzian unit sphere S̃12
dc.typeArticle

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