Using Reorientation Traversing on a Single-Unknown Station or Multiple-Unknown Stations to Solve the Two-Point Resection (Free Station) Problem

Traditionally, the two-point resection problem, which is coordinating an unknown station from which lines to two control stations and the included angle are measured without setting up on the control stations (free stationing), is accomplished by solving the triangle formed. There must be only a singleunknown station intervisible with the controls, otherwise the method fails. These limitations are overcome by the new reorientation traversing method by solving the system in a twofold traverse computation. The advantage is successfully coordinating desired single stations or when there is no intervisibility with either or both controls to set up on a few additional stations without setting up on the controls. Field observations were made on a single-new station with intervisibility to the two controls. In another case where the station desired to be coordinated was not intervisible with the two controls, two additional stations were also set up on without setting up on the control stations. A t-distribution test at 99 percent confidence level with a P-value test on the results proved the credibility of the reorientation traversing in solving both cases of the two point resection survey. The reorientation traversing is the only method known for resection survey of multiple-unknown stations in a lone network.