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An extension of Hilbert's axioms of incidence and order to n dimensions Public Deposited

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  • This paper presents an extension of Hubert's incidence axioms to n dimensions and uses these and his order axioms to prove several theorems. We prove extensions of Pasch's Axiom, the Crossbar Theorem, and Desargues' Theorem for n dimensions. A non-Euclidean model is presented and proved to satisfy the axioms. In the last chapter we define n-polytope (n-dimensional complex) and prove, from the axioms given, that every n-polytope can be dissected into n-simplices.
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  • description.provenance : Made available in DSpace on 2010-07-19T15:26:46Z (GMT). No. of bitstreams: 1 MurrayPeterJohn1972.pdf: 885493 bytes, checksum: 1fc25db578b0eb27c3fa78c48ddbb3be (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-07-19T15:26:46Z (GMT) No. of bitstreams: 1 MurrayPeterJohn1972.pdf: 885493 bytes, checksum: 1fc25db578b0eb27c3fa78c48ddbb3be (MD5)

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