Geodesic
Classification of regular circle three-webs up to circular transformations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 95-107.

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A curvilinear three-web formed by three pencils of circles is called a circle web. Generally speaking, the circle three-web is not regular, i.e., it is not locally diffeomorphic to a web formed by three families of parallel straight lines. In this paper, all regular circle three-webs are classified up to circular transformations. The main result is as follows: there exist 48 nonequivalent (with respect to circular transformations) types of regular three-webs. Five of them contain $\infty^3$ nonequivalent webs each, 11 types contain $\infty^2$ nonequivalent webs each, 12 types contain $\infty^1$ nonequivalent webs each; 5 webs admit a one-parameter group of automorphisms. 
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V. B. Lazareva. Classification of regular circle three-webs up to circular transformations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 95-107. http://geodesic.mathdoc.fr/item/FPM_2010_16_1_a7/

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