Abstract
In an inversive planeJ, one derived affine plane is such that every circle is uniquely determined by straight line tangents. The validity of 4-point Pascal conditions on one of the circles then plays a role in coordinatization ofJ.
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References
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Artzy, R. Inversive planes with circles determined by tangents. Rend. Circ. Mat. Palermo 31, 293–299 (1982). https://doi.org/10.1007/BF02844361
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DOI: https://doi.org/10.1007/BF02844361