Embeddings of projective Klingenberg planes in the projective space PG(5,).
Keppens, Dirk, Van Maldeghem, Hendrik (2009)
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Keppens, Dirk, Van Maldeghem, Hendrik (2009)
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E. Kramer (1985)
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Roland Coghetto (2016)
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The real projective plane has been formalized in Isabelle/HOL by Timothy Makarios [13] and in Coq by Nicolas Magaud, Julien Narboux and Pascal Schreck [12]. Some definitions on the real projective spaces were introduced early in the Mizar Mathematical Library by Wojciech Leonczuk [9], Krzysztof Prazmowski [10] and by Wojciech Skaba [18]. In this article, we check with the Mizar system [4], some properties on the determinants and the Grassmann-Plücker relation in rank 3 [2], [1], [7],...
Zvonimir Janko, Tran van Trung (1980)
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Jaroslava Jachanová, Helena Žáková (1976)
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Roland Coghetto (2017)
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In this article we check, with the Mizar system [2], Pascal’s theorem in the real projective plane (in projective geometry Pascal’s theorem is also known as the Hexagrammum Mysticum Theorem)1. Pappus’ theorem is a special case of a degenerate conic of two lines. For proving Pascal’s theorem, we use the techniques developed in the section “Projective Proofs of Pappus’ Theorem” in the chapter “Pappus’ Theorem: Nine proofs and three variations” [11]. We also follow some ideas from Harrison’s...
Dieter Jungnickel, Klaus Vedder (1987)
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