An Investigation of the Large Angles from 100g Measured at the Resection Point in the Cassini Method

Abstract

In the measurement information literature, it is explained how the coordinate of the resection point is obtained by taking into account the situation of α and β angles measured at the P resection point less than 100g. When the α and β angles measured between the A, B, C triangulation points at the P resection point are less than 100g, the perimeter beam angles at the auxiliary points formed in the circles drawn according to the Cassini method for the solution of the problem are equal to the angles between the triangulation directions viewed from the P point. However, when the angles α and β measured between the specified triangulation points are greater than 100g at the P resection point, the perimeter beam angles at the auxiliary points formed in the circles drawn according to the method are not equal to the angles between the triangulation directions viewed from the P point. Edge lengths calculated with these angles are marked (-). In this case, the positions of the auxiliary points to be calculated as a requirement of the method and indirectly the P resection point are negatively affected. In the research conducted in the literature, it was seen that this issue was not included in the theory of the Cassini method. In this study; the solution of the mentioned problem has been researched and this problem has been solved. Numerical applications on the subject were made and the findings and opinions obtained from the study were stated.