Date of Award
4-21-2025
Document Type
Thesis
Degree Name
Mathematics, MS
First Advisor
William Paulsen
Committee Members
Jie Miao; Suzanne Melescue
Abstract
Consider two tangent lines to a given function, whose horizontal distance between the tangent points is a constant h. As the tangent lines change on the function, the intersection of the two tangent lines trace out a curve. We study the relationship between this new curve, called the locus curve, and the original function. We begin by studying the effects of vertical scaling, vertical shifting, vertical sheering, horizontal scaling, and horizontal shifting. Then we use asymptotical methods to study the behavior of the locus as the tangent lines approach infinity. We use a similar method to observe the behavior as the two tangents approach parallel lines.
Rights Management
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Canard, James Austin, "The Locus of Intersecting Tangents" (2025). Student Theses and Dissertations. 665.
https://arch.astate.edu/all-etd/665
