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dc.contributor.author Moreno Martinez, Victor Manuel en
dc.date.accessioned 2009-06-09T23:13:35Z en
dc.date.available 2009-06-09T23:13:35Z en
dc.date.issued 2009-05 en
dc.identifier.uri http://hdl.handle.net/10139/647 en
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
dc.language.iso en_US en
dc.rights All rights reserved to author and California State University Channel Islands en
dc.subject Rational points en
dc.subject Unit square en
dc.subject Tesselating the square with rational triangles en
dc.subject Rational points in polygons en
dc.subject Mathematics thesis en
dc.title Rational Distances to the Corners of the Unit Square en
dc.type Thesis en

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