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dc.contributor.authorChristensen, Laurel
dc.date.accessioned2010-09-03T20:47:10Z
dc.date.available2010-09-03T20:47:10Z
dc.date.issued2010-09-03
dc.date.submittedJuly 2010
dc.identifier.urihttp://hdl.handle.net/1928/11086
dc.description.abstractIn this paper, we seek a family of triangles that have integer sides and integer area. We focus mainly on scalene triangles since it is impossible to have such triangles that are equilateral and isoceles triangles with these properties are fairly simple to construct. We restrict the scalene triangles we study to Nearly Equilateral Triangles which have consecutive integer sides. In the process of constructing this family, we find an application of Pell's Equation. We follow this with a few other interesting notes on Pell's Equation.en_US
dc.language.isoen_USen_US
dc.subjectPell's Equationen_US
dc.subjectTrianglesen_US
dc.subject.lcshTriangle.
dc.subject.lcshPell's equation.
dc.titlePell's Equation and nearly equilateral trianglesen_US
dc.typeThesisen_US
dc.description.degreeMathematicsen_US
dc.description.levelMastersen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorStone, Alexander
dc.description.committee-memberUmland, Kristin
dc.description.committee-memberLorenz, Jens


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