Surveying
If E is the spherical excess and R the radius of the earth, the surface area of the triangle, is

πR²E/90°
πR²E/360°
πR²E/270°
πR²E/180°

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Surveying
Sidereal day

Is slightly shorter than an ordinary solar day
Is the period of time taken by the earth in making a complete rotation with reference to stars
All listed here
Is divided into the conventional hours, minutes and seconds

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Surveying
The necessary geometrical condition for triangulation adjustment is:

The sum of the eight angles of a braced quadrilateral should be 360°
The sum of the three angles of a plane triangle should be 180°
All listed here
The sum of the angles around a station should be 360°

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