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Pythagorean triples. a b c

Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras

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Page 1: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras

Pythagorean triples.

a

bc

Page 2: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 3: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 4: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 5: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 6: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 7: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras

(p,q) (a,b,c)(2, 1) (4/5, 3/5) (4, 3, 5)(3, 1)∗ (6/10, 8/10)∗ (6, 8, 10)∗(3, 2) (12/13, 5/13) (12, 5, 13)(4, 1) (8/17, 15/17) (8, 15, 17)(4, 3) (24/25, 7/25) (24, 7, 25)(5, 1)∗ (10/26, 24/26)∗ (10, 24, 26)∗(5, 2) (20/29, 21/29) (20, 21, 29)(5, 3)∗ (30/34, 16/34)∗ (30, 16, 34)∗(5, 4) (40/41, 9/41) (40, 9, 41)(6, 1) (12/37, 35/37) (12, 35, 37)(6, 5) (60/61, 11/61) (60, 11, 61)(7, 1)∗ (14/50, 48/50)∗ (14, 48, 50)∗ (7, 2) (28/53, 45/53) (28, 45, 53)(7, 3)∗ (42/58, 40/58)∗ (42, 40, 58)∗(7, 4) (56/65, 33/65) (56, 33, 65)(7, 5)∗ (70/74, 24/74)∗ (70, 24, 74)∗(7, 6) (84/85, 13/85) (84, 13, 85)

Page 8: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 9: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras
Page 10: Pythagorean triplesblockj/lecture2.pdf · 2017. 7. 6. · Pythagorean ideas exercised a marked influence on Plato, and through him, all of Western philosophy. Contents v Bust of Pythagoras