A fresh approach to generating Pythagorean triples

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with specialization in Business Applications

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Jose Tristan F. Reyes

Defense Panel Chair

Edmundo R. Perez, Jr.

Defense Panel Member

Francis Joseph Campena
Anita C. Ong

Abstract/Summary

One way of generating a Pythagorean triple is by the Euclidean formula. However, the Euclidean Formula cannot generate all of the triples. One example is the triple (9, 12, 15). This triple cannot be generated by the Euclidean formula unless we use a multiplier to a triple which can be generated by the Euclidean formula unless we use a multiplier to a triple which can be generated by the Euclidean formula, in this case, (3, 4, 5). Another example is the triple (4, 3, 5). To generate this triple, one must physically interchange the first and the second component of the triple (3, 4, 5). This thesis explains a new formula of generating triples from the article Rethinking Pythagorean Triples by William Spezeski which generates all of the Pythagorean triples without using multipliers and transposition.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU15118

Shelf Location

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

Physical Description

111 leaves, illustrations, 28 cm.

Keywords

Pythagorean theorem; Number theory

Embargo Period

3-30-2021

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