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Almost two thousand years ago, Claudius Ptolemy created a world map, identifying the names and coordinates of over 8000 settlements and geographical features. In the British Isles, the locations of many of Ptolemy's cities, such as London and Bath, are known to us today. Yet many still elude us. Most efforts to find and identify these hidden cities, rivers, headlands, and so on have concentrated on the etymology of modern place names, trying to work backwards in time until a match could be found with a name given by Ptolemy. Rather than looking at the names, I am focusing on the other half of Ptolemy's data: the coordinates. Using the data of those cities and landmarks that have already been identified, I am applying a series of best-fit transformations to Ptolemy's map of the British Isles. It is my hope that by ‘correcting’ Ptolemy's map, the validity of previous identifications can be tested and new conjectures can be made about those locations that are still lost. This article was presented as a talk at the Research in Progress meeting of the British Society for the History of Mathematics at The Queen's College, Oxford, 1 March 2008.
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