A Study of the Family of Curves Resulting from the Permutation of the Coefficients of the General Cubic Y=AX³ + BX² + CX + D

Author

Harold Glander, Marquette University

Date of Award

7-1948

Document Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

If the coefficients of the general cubic equation

y + Ax³ + Bx² + Ox + D

are rearranged in every possible manner, twenty-four different cubic curves result. How are these curves related? What peculiar geometric characteristics does this family exhibit? Do any invariants exist? These are the problems which this paper attempts to answer.

Recommended Citation

Glander, Harold, "A Study of the Family of Curves Resulting from the Permutation of the Coefficients of the General Cubic Y=AX³ + BX² + CX + D" (1948). Master's Theses (1922-2009) Access restricted to Marquette Campus. 5605.
https://epublications.marquette.edu/theses/5605