Adjustment Of Single And Double Braced Quadrilateral Using Least Square Condition Equation

Quadrilateral is a single or double triangulation system consisting of figures with four corners  stations. It consist of two known stations and a base line. Other corners of the triangles are measured using precise instrument. The systems is treated as the strongest with the best arranged triangular structure which provides adequate means of determining the lengths of other sides of the triangle whose length, bearings and positions are required. In this  four sided polygon with four (4) points were established. The coordinate of two points (A and B) are known while the coordinates of points (C and D) are required. The purpose of the exercise was to use least square condition equation to determine and adjust coordinates of the two unknown points using the Angular measurements of quadrilateral. Two separate measurements were taken (observation 1 and observation 2) forming a network of a single and double braced quadrilateral respectively. After which, the data obtained were reduced and then adjusted using least square condition equation.