Tangents to conic sections

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Title: Tangents to conic sections
Author: Reneau, Lorean Nicole
Abstract: Circles , parabolas , ellipses and hyperbolas are conic sections and have many unique properties . The properties of the tangents to conic sections prove quite interesting . Dandelin spheres are tangent to ellipses inside a cone and support the geometric definition of an ellipse . Tangent lines to parabolas , ellipses and hyperbolas in the form of families of folds are shown to create conic sections in unique ways . The equations of these tangent lines to conic sections and their equations can be found without using calculus . The equations of the tangent lines are also used to prove the bisection theorem for all conic sections and prove uniqueness for the bisection theorem in connection to conic sections .
URI: http : / /hdl .handle .net /2152 /ETD -UT -2010 -08 -1607
Date: 2011-01-05


Tangents to conic sections. Master's thesis, University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /ETD -UT -2010 -08 -1607 .

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