Surveying
If α, H, A and δ be the altitude, hour angle, azimuth and declination of a circumpolar star at its elongation, in latitude λ, the following relation holds good

sin α = sin λ/sin δ
sin A = cos δ/cos λ
All listed here
cos H = tan λ/tan δ

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Surveying
In the prismatic compass

the graduated circle is fixed to the box and the magnetic needle always remains in the N-S direction
the line of the sight does not move with the box
the magnetic needle moves with the box
the magnetic needle and graduated circle do not move with the box

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