The Poincare model of hyperbolic geometry

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dc.contributor.author Troutman, James G. en_US
dc.date.accessioned 2011-06-03T19:38:09Z
dc.date.available 2011-06-03T19:38:09Z
dc.date.created 1968 en_US
dc.date.issued 1968
dc.identifier LD2489.Z9 1968 .T76 en_US
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/handle/186115
dc.description.abstract The individual who encounters hyperbolic geometry for the first time in such a book as Wolfe's C353 has the stimulating experience of developing the analogue of a substantial part of Euclidean geometry using the same essential spirit and methods as those of Euclid. Other texts, such as Coxeter's [10], approach hyperbolic geometry from the point of view of projective geometry.From the beginners point of view it seems the Poincare Euclidean Model of hyperbolic geometry would be superior to the Klein-Cayley projective model of hyperbolic geometry, if only for the reason that the beginning student is more familiar with Euclidean geometry.The aim of this paper is to present a development of the Poincare Model of hyperbolic geometry following the procedures of first, an analytic Euclidean approach, and then, the Klein or transformation approach. The knowledge assumed of the reader is that of a junior mathematics student. en_US
dc.format.extent 35 leaves : ill. ; 28 cm. en_US
dc.source Virtual Press en_US
dc.title The Poincare model of hyperbolic geometry en_US
dc.type Research paper (M.A.), 4 hrs. en_US
dc.description.degree Thesis (M.A.) en_US
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/854674 en_US


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  • Research Papers [5068]
    Research papers submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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