From Diofantian Equations To Matricial Equations (Ii) -Generalizations Of The Pythagorean Equation-
Table 1: The table below contains the first ten solutions of equation (B) obtained in this way:
a | b | a2+b2 | c | x | y | z | t |
1 | 1 | 2 | 1 | 2 | 2 | 1 | 3 |
2 | 2 | 8 | 1 | 4 | 4 | 7 | 9 |
1 | 3 | 10 | 1 | 2 | 6 | 9 | 11 |
1 | 3 | 10 | 2 | 2 | 6 | 3 | 7 |
3 | 3 | 18 | 1 | 6 | 6 | 17 | 19 |
3 | 3 | 18 | 2 | 6 | 6 | 7 | 11 |
3 | 3 | 18 | 3 | 6 | 6 | 3 | 9 |
2 | 4 | 20 | 1 | 4 | 8 | 19 | 21 |
2 | 4 | 20 | 4 | 4 | 8 | 1 | 9 |
4 | 4 | 32 | 1 | 8 | 8 | 31 | 33 |