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Geometric “transformation” was first given specific attention as a thing in itself in Der Barycentrische Calcul, of 1827, by August Ferdinand Moebius (1790–1868). Where we refer to a “transformation,” Moebius used the German name Verwandtschaft, a word for “relationship.” In practice, the nineteenth century use was often closer to a mathematical relation than a function.

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Affinity and the List of Transformations by Moebius

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  • 发表日期：

    2025年

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  • Christopher Baltus

摘要

Geometric “transformation” was first given specific attention as a thing in itself in Der Barycentrische Calcul, of 1827, by August Ferdinand Moebius (1790–1868). Where we refer to a “transformation,” Moebius used the German name Verwandtschaft, a word for “relationship.” In practice, the nineteenth century use was often closer to a mathematical relation than a function.