All Theses, Dissertations, and Capstone Projects
Year of Award
1967
Degree
Bachelor of Arts (BA)
College
College of Arts & Sciences
Department
Math and Computer Science
First Advisor
Mary Teresine Lewis
Keywords
algebra, quaternions, theorem, perpendicular, physical science
Abstract
The material covered by this paper is very basic. It is divided into four main sections. In the first section a historical development of the idea of vectors is given with advantages of the vector method being pointed out. The second part deals with vector algebra and its various operations. Applications of the vector concept to geometry are presented in the last two sections. First, Euclidean geometry, mostly in plane geometry and in the last section the vector method is applied to advanced theorems in geometry. Three theorems have been singled out, that of Pappus of Alexandria, Menelaus of Alexandria, and Gerald Desargues.
Document Type
Restricted Thesis
Recommended Citation
Ellebracht, Dorothy CPPS, "Vectors and What They Have to Offer Geometry" (1967). All Theses, Dissertations, and Capstone Projects. 66.
https://griffinshare.fontbonne.edu/all-etds/66
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