Abstract:
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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