Sections of n-dimensional spherical cones

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dc.creatorKeyton, Nancy E.
dc.date.accessioned2016-11-14T23:18:02Z
dc.date.available2011-02-18T21:00:15Z
dc.date.available2016-11-14T23:18:02Z
dc.date.issued1968-06
dc.degree.departmentMathematicsen_US
dc.description.abstractMany proofs have been given for the proposition: "The intersection of a right circular cone and a plane is a second degree curve (conic)". Among the first mathematicians to have proved it was Apollonius, during the period 262-200 B.C.. In fact the first book in conic sections M8S juritten by Apollonius. In this thesis, first, we supply a vector proof of this proposition, thereby simplifying procedures in the proof. Then we generalize the theorem for sections of a spherical cone in an n-dimensional Euclidean space.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/15230en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectConicsen_US
dc.subjectSphericalen_US
dc.titleSections of n-dimensional spherical cones
dc.typeThesis

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