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dc.contributor.author Moreno Martinez, Victor Manuel
dc.date.accessioned 2009-06-09T23:13:35Z
dc.date.available 2009-06-09T23:13:35Z
dc.date.issued 2009-05
dc.identifier.uri http://hdl.handle.net/10139/647
dc.description.abstract The objective of this thesis is to create a concrete statement about the existence of rational points in the unit square. We will use the following definition for a rational point: A rational point is defined as a point whose distances to the vertices of a geometric figure are all rational. Notice that a number theoretic rational point is a point (x, y) in an algebraic curve f(x, y) = 0 where x and y are rational. We will present a variety of methods to prove certain properties of these rational points. Finally we prove an equivalence between the non-existence of rational points on the edges of the unit square and the absence of integer roots for certain families of polynomials. en_US
dc.language.iso en_US en_US
dc.rights All rights reserved to author and California State University Channel Islands
dc.subject Rational points en_US
dc.subject Unit square en_US
dc.subject Tesselating the square with rational triangles en_US
dc.subject Rational points in polygons en_US
dc.subject Mathematics thesis en_US
dc.title Rational Distances to the Corners of the Unit Square en_US
dc.type Thesis en_US

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