Title

On cyclic sums for polygons

Date of Publication

2001

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

This thesis presents a generalization of cyclic sums for polygons with more than three sides in contrast to the concern of Ceva's theorem which is about a cyclic product. This thesis is an exposition of the article Cyclic Sums for Polygons by G.C. Shephard. Most of the theorems and definitions in this thesis are results given by the said article. Discussion of affine transformation and related topics in geometry, calculus, linear algebra, and trigonometry were used to expound on the topics which were not proved in the article. The section of the article concerning golden section ratio was omitted and the omission was insignificant to the study.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10725

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

69 leaves

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