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This lecture covers the synthesis of lessons 1 and 2, focusing on geodesy, coordinate transformations, and the design of intuitive methods for defining coordinate systems and frames. The instructor discusses the development of coordinate systems for various locations, such as a table, classroom, building, and the EPFL campus, emphasizing the importance of understanding the framework and system design. The lecture delves into the mathematical approximations of the Earth's surface, the impact of gravity on coordinate determination, and the conversion of coordinates on different reference surfaces. Additionally, it explores the transformation from the MNO3 to MN95 system, affine transformations, and the regular conversion to CHTRS95.