Surveying
The elevation of the star at elongation is obtained by

sin α = cos φ cosec δ
sin α = sin φ sec δ
sin α = cos φ sec δ
sin α = sin φ cosec δ

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Surveying
The prismatic compass and surveyor’s compass

give whole circle bearing (WCB) of a line and quadrantal bearing (QB) of a line respectively
both give QB of a line
both give QB of a line and WCB of a line
both give WCB of a line

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