Surveying
According to Napier's Rules of circular parts for a right angled triangle, sine of middle part equals the product of

Cosines of two adjacent parts
Both (A) and (B) above
Sines of two adjacent parts
Tangents of two adjacent parts

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Surveying
The rise and fall method

is less accurate than height of instrument method
provides a check on the reduction of intermediate point levels
quicker and less tedious for large number of intermediate sights
is not suitable for levelling with tilting levels

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