Some improvements of the coordinates transformation algorithms, related with application of the cartographic plane coordinates in the Russia’s state coordinate system(SCS) and local coordinate systems of the cites(LCSC), are presented in the article. A comparative analysis of the cited sources allowed to eliminate discovered misspells. After corrections, the formulae were revised using a common logic of transformation and notation system. As a result the author obtained three groups of equivalent transformation algorithms, they implement the «direct» (from SCS to LCSC) and «inverse» (from LCSC to SCS) transitions. Compiled algorithms preserve the identity of sources and authors. Checking of the updated algorithms performed using the test examples from well knowing manuals. Computations according to the considered algorithms with data from one of the examples are demonstrated in the final part of the article. Practical verification of the work of the above mentioned algorithms on real data was repeatedly performed in the course of the production activity of the Engineering Survey Department of the Irkutskzheldorproekt Institute. In particular, in works related to research for the design of reconstruction and repair of railway tracks, with the updating of obsolete engineering and topographic plans of stations, also using catalogs of coordinates of points of the special reference system of the East Siberian Railway.