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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

Roland Coghetto
2021 Formalized Mathematics  
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  ...  First, we use the techniques developed in the section "Projective Proofs of Pappus's Theorem" in the chapter "Pappos's Theorem: Nine proofs and three variations" [12].  ...  Pappus's Theorem From now on o, p 1 , p 2 , p 3 , q 1 , q 2 , q 3 , r 1 , r 2 , r 3 denote elements of the projective space over E 3 T .  ... 
doi:10.2478/forma-2021-0007 fatcat:vipuxim5ojccnio6cmqigg7kfu