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  "body": "\n## Summary\n\nA Minkowski plane is an incidence structure of points and circles with two parallelisms, modelled on the plane sections of a hyperboloid of one sheet.\nEach hyperboloid of one sheet carries two families of lines, and these give the two parallelisms.\nIt is one of the three kinds of [[Benz plane|BG5A4CB6NB]], next to Möbius and Laguerre planes.\n\n## Explanations\n\n### L1 human\n\nA hyperboloid of one sheet, the shape of a cooling tower, is covered by two families of straight lines.\nPoints on the same line of the first family are called $(+)$-parallel, and points on the same line of the second family $(-)$-parallel.\nThe circles are the plane sections that are not made of lines.\nThrough three points, no two of them parallel, there is exactly one circle.\nAn equivalent picture: the points are pairs $(x, y)$ of points of the projective line, and the circles are the graphs of the projective maps $x \\mapsto (ax + b)/(cx + d)$.\n",
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