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
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
Recommended Citation
Andal, D., & Park, J. (2021). A fresh approach to generating Pythagorean triples. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5028
Embargo Period
3-30-2021