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The transformations we have examined are found in undergraduate mathematics courses, most in College Geometry, while the Moebius transformation is in undergraduate courses in Complex Analysis. An important development occurred, not in higher level mathematics but in French schoolbooks, where geometry moved beyond that of Euclid’d Elements. This was the introduction of geometrical transformations, not just the dilation, but also the isometries: reflection, rotation, translation. (An isometry is a transformation in which corresponding distances are equal.)

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Topic After 1855: Isometries and Dilations in French Schoolbooks

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  • 发表日期：

    2025年

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  • Christopher Baltus

摘要

The transformations we have examined are found in undergraduate mathematics courses, most in College Geometry, while the Moebius transformation is in undergraduate courses in Complex Analysis. An important development occurred, not in higher level mathematics but in French schoolbooks, where geometry moved beyond that of Euclid’d Elements. This was the introduction of geometrical transformations, not just the dilation, but also the isometries: reflection, rotation, translation. (An isometry is a transformation in which corresponding distances are equal.)