In using the two-theodolite method for setting curves, the principle used is

1
deflection angle is equal to the tangential angle for any chord to the point
2
angle of intersection is the same as the angle subtended at the centre
3
deflection to any point P from the first tangent is the same as the angle between the long chord and the direction to P from the second tangent point
4
equal chords subtend equal angles at the centre

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