A fresh approach to generating Pythagorean triples
Bachelor of Science in Mathematics with specialization in Business Applications
College of Science
Mathematics and Statistics Department
Jose Tristan F. Reyes
Defense Panel Chair
Edmundo R. Perez, Jr.
Defense Panel Member
Francis Joseph Campena
Anita C. Ong
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.
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
111 leaves, illustrations, 28 cm.
Pythagorean theorem; Number theory
Andal, D., & Park, J. (2021). A fresh approach to generating Pythagorean triples. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5028