Date of Award
2003
Document Type
Thesis
Degree Name
Master of Arts in Teaching, Mathematics
Department
Mathematics
Abstract
The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are based on the Poincaré disk model of H², where H² is understood to mean the hyperbolic plane. The thesis explores the properties of both the untransformed cubic (the original locus of centroids) and the transformed cubic (the original cubic taken under a linear fractional transformation).
Recommended Citation
Marfai, Frank S., "Hyperbolic transformations on cubics in H²" (2003). Theses Digitization Project. 142.
https://scholarworks.lib.csusb.edu/etd-project/142
