A small two-dimensional network of five points (A, 1, 2, 3, B) is to be adjusted by the parametric method of least squares. All the nine distances were measured in the field. In addition, four total station directions (to stations 1, 2, 3, B) were measured from point A, and three total station directions (to stations 3, A, 1) were measured from point 2. Answer the following.
a) If the network is to be adjusted without fixing any of the network points, how many datum defects are contained in the network? List the types of parameters needed to just fix the datum problem.
b) How many unknown parameters does the network contain if a minimum constrained adjustment is to be performed? Give details of how you obtain your answer.
c) How many parameters are there if the network is fully constrained with fixed stations A and B?
d) How many degrees of freedom are there in the network if it is adjusted as a free network? Give details of how you arrive at your answer.