Geodesic
On hexagonal three-webs formed by Cartesian net and a family of circles
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2018), pp. 79-93.

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By the Elie Cartan's method we prove that there are only two types of regular three-webs formed by the Cartesian net and a family of circles: three-webs $(C_1)$, in which the family is formed by concentric circles, and the three-webs $(C_2)$, where all circles of the family have the same radius, and their centers lie on a line.
Keywords: curvilinear three–web, regular three-web, circle three–web, three-web curvature. 
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     title = {On hexagonal three-webs formed by {Cartesian} net and a family of circles},
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A. M. Shelekhov. On hexagonal three-webs formed by Cartesian net and a family of circles. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2018), pp. 79-93. http://geodesic.mathdoc.fr/item/IVM_2018_10_a7/

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