Date of Award
8-1969
Document Type
Thesis
Degree Name
Master of Science
Degree Discipline
Mathematics
Abstract
The intent of this project is to prove some of the commonly used Algebraic Properties regarding reflections, translations, and rigid rotations and to extend these concepts to three dimensions. The approach considered will be in terms of point sets.
DEFINITIONS
Relation:
The statement that R is a relation means that R is a subset of the cartesian product A X B.
Cartesian Product:
The set of all ordered pairs whose list numbers are m©fflbers of a given set A and whose second number is a member of a given set B.
Function:
A relation where X and Y are related such that for each Y number there is a unique X number in the set.
Example X=Y
An ordered Pair:
Is two numbers having the form (X, Y) such that X is the first number and Y is the second number.
Example (3,6)
An ordered Triple:
Is three numbers having the form (X, Y, Z) where X is the first number, Y the second number, and Z the third number.
Example: (2,4, -1).
Committee Chair/Advisor
A. D. Stewart
Committee Member
Samuel E. Good
Committee Member
Whitmore
Publisher
Prairie View Agriculture And Mechanical College
Rights
© 2021 Prairie View A & M University
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Date of Digitization
4/6/2022
Contributing Institution
John B Coleman Library
City of Publication
Prairie View
MIME Type
Application/PDF
Recommended Citation
Davis, D. A. (1969). Reflections, Translations And Rotations Of Point Sets In E2 And E3. Retrieved from https://digitalcommons.pvamu.edu/pvamu-theses/1449