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On the Circular Transformations of Möbius, Laguerre, and Lie

In: The Geometric Vein

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  • I. M. Yaglom

Abstract

In line with the elementary-geometric character of this paper, our primary concern is with circular transformations in the (Euclidean) plane (thought of differently for different types of transformations—see, for example, [1]). The (easy) extension of the various constructions to n-dimensional space is discussed at the end of the paper. Our aim is to show that it is possible to develop entirely analogous elementary theories of the circular point transformations of Steiner and Möbius [8], the circular axial transformations of Laguerre [5], and the circular contact transformations of Lie [6,7J.

Suggested Citation

  • I. M. Yaglom, 1981. "On the Circular Transformations of Möbius, Laguerre, and Lie," Springer Books, in: Chandler Davis & Branko Grünbaum & F. A. Sherk (ed.), The Geometric Vein, pages 345-353, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5648-9_25
    DOI: 10.1007/978-1-4612-5648-9_25
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