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Pappus's Hexagon Theorem in Real Projective PlaneThis work has been supported by the "Centre autonome de formation et de recherche en mathématiques et sciences avec assistants de preuve" ASBL (non-profit organization). Enterprise number: 0777.779.751. Belgium
2021
Formalized Mathematics
Summary. In this article we prove, using Mizar [2], [1], the Pappus's hexagon theorem in the real projective plane: "Given one set of collinear points A, B, C, and another set of collinear points a, b, c, then the intersection points X, Y, Z of line pairs Ab and aB, Ac and aC, Bc and bC are collinear" https://en.wikipedia.org/wiki/Pappus's_hexagon_theorem . More precisely, we prove that the structure ProjectiveSpace TOP-REAL3 [10] (where TOP-REAL3 is a metric space defined in [5]) satisfies the
doi:10.2478/forma-2021-0007
fatcat:vipuxim5ojccnio6cmqigg7kfu