Abstract
dc:description.abstractThe 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).
Degree
thesis:*- Name thesis:degree_name
- Master of Arts in Teaching, Mathematics
- Level thesis:degree_level
- Thesis
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2003
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Marfai, Frank S.
Subjects
dc:subject × 5Identifiers
dc:identifier.*- Repository record dc:identifier
- https://scholarworks.lib.csusb.edu/etd-project/142
- OAI identifier oai:identifier
- oai:scholarworks.lib.csusb.edu:etd-project-1142