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Pell's Equation and nearly equilateral triangles


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/11086

Pell's Equation and nearly equilateral triangles

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dc.contributor.author Christensen, Laurel
dc.date.accessioned 2010-09-03T20:47:10Z
dc.date.available 2010-09-03T20:47:10Z
dc.date.issued 2010-09-03
dc.date.submitted July 2010
dc.identifier.uri http://hdl.handle.net/1928/11086
dc.description.abstract In 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.iso en_US en_US
dc.subject Pell's Equation en_US
dc.subject Triangles en_US
dc.subject.lcsh Triangle.
dc.subject.lcsh Pell's equation.
dc.title Pell's Equation and nearly equilateral triangles en_US
dc.type Thesis en_US
dc.description.degree Mathematics en_US
dc.description.level Masters en_US
dc.description.department University of New Mexico. Dept. of Mathematics and Statistics en_US
dc.description.advisor Stone, Alexander
dc.description.committee-member Umland, Kristin
dc.description.committee-member Lorenz, Jens

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