Gumushane Universitesi Fen Bilimleri Dergisi, cilt.15, sa.1, ss.170-183, 2025 (Scopus)
In the evaluation of measurements made on the earth, a reference surface is needed. This surface is selected as plane, sphere or ellipsoid according to the size of the study area. Since geodetic calculations to be made on the ellipsoid have a more difficult structure compared to plane calculations; the information on the surface is transferred to the plane. In this study, Lambert Conform Conic (LCC) mapping, which is one of the methods used in the plane depiction of the ellipsoid, is examined. In the LCC mapping, the information on the ellipsoid is transferred to the plane by means of an auxiliary surface. In LCC, a cone is used as the auxiliary surface. After defining the basic structure of the depiction in question in this study, closed formulas for transformations between ellipsoid geographic coordinates and plane coordinates are examined and numerical examples are given. In addition, with these depiction coordinates, geodetic problems solution formulas equivalent to ellipsoid solutions are also examined with numerical solutions. When the coordinates of a point and the geodetic curve connecting the unknown coordinate point and the azimuth of this curve are known, the coordinates and azimuth of the second point are calculated. The length of the geodetic curve and the azimuths at both ends of this curve are calculated from the coordinates of the two known points.