After the defeat of Charles XII at Poltava, thousands of soldiers and officers of his army ended up in Russian captivity. Many of them were then exiled beyond the Urals, where they lived from 1711 to 1722. It is the Swedish officers that the beginnings of mathematical cartography of Siberia are associated with. The article analyzes the aspects of the work of the best known Swedish cartographer, Captain Philip Johan Tabbert (Philipp Johann von Strahlenberg) and provides information about other Swedes who engaged in cartography. At the early stage of the formation of mathematical cartography, an important problem was converting Russian linear measures into degrees. Various ratios used by both the Swedish captives and the Russian land surveyors are given. The methodology for longitude coordinates determination was studied based on the analysis of the maps and diary entries, made by Tabbert during D. G. Messerschmidt’s expedition. Indirect evidence of measurements of latitudinal coordinates, carried out by Swedish captives before the arrival of Russian surveyors in Siberia, has been collected. All of this enabled the analysis of mathematical basis of the two manuscript maps made by the Swedes in Siberia. It is concluded that the geographical maps, drawn in the Siberian captivity by Charles XII’s officers, continued the European tradition of mapping Siberia, being a separate stage in this process. What distinguished such maps was that their authors lived in the region they mapped. The Swedish captives became the first cartographers of Siberia, who created mathematically precise geographical maps with a grade grid, rather than hand-drawn, artistic maps. At the same time, Swedish officers’ efforts associated with creating geographical maps of Siberia had no impact on the development of Russian cartography. It was not the Swedes who broke the tradition of cartographic isography but, rather, the Russian graduates of the Maritime Academy who began working in Siberia in 1719.
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