Algebraic theorems obtained by use of extended analytic geometry

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dc.creatorGarner, J.H.
dc.date.available2011-02-18T22:59:29Z
dc.date.issued1955-08
dc.degree.departmentMathematicsen_US
dc.description.abstractTe understand the theorems presented here one must first understand the basic principles which have been developed by Dr. Ralph Underwood. The basic process is a method by which equations with three or more variables may be represented on the XY plane. While the process does not represent a true projection many of the basic features of the loci, in the case of three variables, are preserved. The two basic methods which have been used previously are called System A and System B, (9:527) however, an infinity of methods or plotting rules are available. In the first ten theorems presented here a more flexible method is employed. In graphing the locus of the equation a point on the locus is first found, and the equation of a tangent hyperplane is written by the method illustrated below« one then may use a graphing rule so that the locus of the tangent hyperplane is a straight line on the XY plane.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/19217en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectAnalyticen_US
dc.subjectGeometryen_US
dc.subjectAlgebraen_US
dc.titleAlgebraic theorems obtained by use of extended analytic geometry
dc.typeThesis
thesis.degree.departmentMathematics
thesis.degree.departmentMathematics and Statistics
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.levelMasters
thesis.degree.nameM.S.

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