Angle measurement
For angle measurement with theodolite vertical hair is used. Basically there are two methods horizontal angle measurement,
Repetition method (For single angle)
Reiteration method (For more than one angle)
1 - By Repetition method
Let suppose it is desire to measure the angle A from the following figure. We will use repetition method for this purpose.
Procedure
Setup the theodolite at station A.
Bisect the point B with vertical hair of theodolite and move telescope in clockwise and direction to bisect at point C.
Note this circle reading in the book and fix this circle reading, then again bisect the point B by keeping the circle reading fixed.
Now, release the circle reading and rotate the telescope again in clockwise direction till it bisect again point C.
Similarly get 3rd and 4th repetition and note the circle reading after 4th repetition in the book.
Change the face of telescope and repeat the above steps, an example and method of booking observations have given below,
Inst. Station
Angle
Face
Repetition
Circle Reading (° ′ ″)
Angle value(° ′ ″)
Mean of faces (° ′ ″)
A
BAC
L
1
25 20 00
25 20 10
25 20 9.5
4
101 20 40
R
1
25 20 03
25 20 09
4
101 20 36
2 - By Reiteration method
This method is used if there are more than one angles to be measure from a certain station point. Consider the following fiqure, we will measure angles AOB and BOC using this method.
Procedure
Setup the theodolite at station O, bisect the point A with a certain circle reading with face left.
Rotate the instrument in clockwise direction and bisect B, note the circle reading.
Then rotate and the telescope till it bisect the point C, note this circle reading also. All these reading will book into face left position.
Transit the telescope and rotate the instrument through 180°, this time bisect the point C firstly and then rotate telescope in anti clockwise direction towards B and then ultimately towards A. Put these readings in face right position.
You can do more than one sets of measurements for the accurate results, i have done one set and booking method is as follows,
Inst. Station
Stn. Sighted
Face
Circle reading(° ′ ″)
Mean of faces(′ ″)
Angle value(° ′ ″)
O
A
L
10 20 05
20 06
AOB 37 10 05
R
190 20 07
B
L
47 30 10
30 11
R
227 30 12
BOC 41 10 14
C
L
88 40 20
40 25
R
268 40 30
One should start observation with some initial circle reading say 25°, if we start our observation with zero circle reading our calculations for computing mean will be little bit difficult.