A fresh approach to generating pythagorean triples
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...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2009
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/9837 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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