__Electronic Proceedings
of the 12 ^{th} Asian Technology Conference in Mathematics__

**Abstract
for 12982**

* Locii Associated with Tangents and Normals
of Conic Sections*

Authors: Tilak dealwis

Affiliations: Southeastern Louisiana University

Keywords: Intermediate, Undergraduate Level

In this paper, we will investigate several locus problems associated

with tangent lines and normal lines of conic sections. The conic

sections we consider include parabolas and ellipses, but hyperbolas

will be left to the reader. For example, given an arbitrary point P

on one of these conic sections, consider the tangent line and/or the

normal line to the conic at that point. One can form several regions

bounded by these tangent lines, normal lines, other auxiliary lines,

and the conic section itself. We are primarily interested in

investigating the locus of the center of gravity of these regions as

the point P moves along the conic section. The computer algebra

system Mathematica was used to help with our computations.

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