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On a problem of H. N. Gupta
dc.contributor.authorBlass, Andreasen_US
dc.contributor.authorPambuccian, Victoren_US
dc.date.accessioned2006-09-08T20:45:12Z
dc.date.available2006-09-08T20:45:12Z
dc.date.issued1996-07en_US
dc.identifier.citationBlass, Andreas; Pambuccian, Victor; (1996). "On a problem of H. N. Gupta." Geometriae Dedicata 61(3): 329-331. <http://hdl.handle.net/2027.42/42815>en_US
dc.identifier.issn0046-5755en_US
dc.identifier.issn1572-9168en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/42815
dc.description.abstractIt is shown that the axiom ‘For any points x, y, z such that y is between x and z , there is a right triangle having x and z as endpoints of the hypotenuse and y as foot of the altitude to the hypotenuse’, when added to three-dimensional Euclidean geometry over arbitrary ordered fields, is weaker than the axiom ‘Every line which passes through the interior of a sphere intersects that sphere’.en_US
dc.format.extent130378 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherGeometryen_US
dc.subject.other51M05en_US
dc.subject.other12D15en_US
dc.subject.otherEuclidean Geometryen_US
dc.subject.otherArbitrary Ordered Fieldsen_US
dc.subject.otherCartesian Spacesen_US
dc.titleOn a problem of H. N. Guptaen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, 48109-1003, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherDepartment of Integrative Studies, Arizona State University West, 85069-7100, Phoenix, AZ, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/42815/1/10711_2004_Article_BF00150031.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00150031en_US
dc.identifier.sourceGeometriae Dedicataen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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