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LECTURE №3


                               MEASUREMENTS AND COMPUTATIONS



                      3.1 Introduction
                      Making measurements and subsequent computations and analyses using them
                  are fundamental tasks of surveyors. The process requires a combination of human
                  skill and mechanical equipment applied with the utmost judgment. No matter how
                  carefully made, however,  measurements are never exact and will always contain
                  errors.
                      Surveyors,  whose  work  must  be  performed  to  exacting  standards,  should
                  therefore  thoroughly  understand  the  different  kinds  of  errors,  their  sources  and
                  expected magnitudes under  varying conditions, and their  manner of propagation.
                  Only  then  can  they  select  instruments  and  procedures  necessary  to  reduce  error
                  sizes to within tolerable limits.

                      3.2 Types of Measurements in Surveying
                      There are five basic kinds of measurements in plane surveying:
                           Horizontal angles
                           Horizontal distance
                           Vertical angles
                           Vertical distance
                           Slope distance
                      By using combinations of these basic measurements it is possible to compute
                  relation positions between any points.
                      Measurement of distances and angles it is the essence surveying.
                      Angle  is  simply  figure  formed  by  the  intersection  of  two  lines  or  figures
                  generated  by  the  rotation  of  a  line  about  a  point  form  an  initial  position  to  a
                  terminal position. The point of rotation is called the vertex of the angle.
                      There are several systems of angle measurement. The most common ones are
                  sexagesimal system and centesimal system
                      This  system  uses  degrees,  minutes  and  seconds.  In  this  system,  a  complete
                  rotation of a line (circle) is divided in to 360 degrees of arc. One degree is divided
                  in  to  60  minutes  and  1  minute  is  further  divided  in  to  60  seconds  of  arc.  The
                                                                   0
                  symbols for degree, minutes and seconds are  , ’ and ’’ respectively.
                                 0
                      E.g.     35  17’46’’
                                  0
                                        90 , 00’ 00’’



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