Date of Award
2012
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Sarli, John
Second Advisor
Trapp, Rolland
Third Advisor
Vicknair, J. Paul, and Williams, Peter
Abstract
The purpose of this project is to show that Cassini curves that are not lemniscates, when b does not equal 1, represent elliptic curves. It is also shown that the cross-ratios of these elliptic curves are either real numbers or represented by complex numbers on the unit circle on the conplex plane.
Recommended Citation
Arakaki, Nozomi, "Cassini ovals as elliptic curves" (2012). Theses Digitization Project. 4253.
https://scholarworks.lib.csusb.edu/etd-project/4253
