l

Diophantine equation

Set of Solutions

$\delta =\frac{\pi }{4\cdot l}$

$\alpha =\frac{\pi }{l}$

$\beta =\left(1-\frac{1}{2l}\right)\pi$

1

$2t+3s=8$

$\left\{\left(4,0\right),\left(1,2\right)\right\}$ ¹

π/8

π/2

3π/4

2

$2t+5s=12$

$\left\{\left(6,0\right),\left(1,2\right)\right\}$

π/6

π/3

5π/6

3

$t+7s=16$

$\left\{\left(8,0\right),\left(1,2\right)\right\}$

π/16

π/4

7π/8

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k

$2t+\left(2k-1\right)\cdot s=4k$

$\left\{\left(2k,0\right),\left(1,2\right)\right\}$

π/2k

π/k

$\left(1-\frac{1}{2k}\right)\pi$