Intersections in Projective Space I: Combinatorics.
A.A. Bruen, J.W.P. Hirschfeld (1986)
Mathematische Zeitschrift
Similarity:
A.A. Bruen, J.W.P. Hirschfeld (1986)
Mathematische Zeitschrift
Similarity:
Mathias Peternell (1987)
Mathematische Zeitschrift
Similarity:
Ascher Wagner (1969)
Mathematische Zeitschrift
Similarity:
Ascher Wagner (1969)
Mathematische Zeitschrift
Similarity:
Ascher Wagner (1971)
Mathematische Zeitschrift
Similarity:
Roy Dyckhoff (1972)
Mathematische Zeitschrift
Similarity:
R.J. Clarke (1973)
Mathematische Zeitschrift
Similarity:
Roland Coghetto (2016)
Formalized Mathematics
Similarity:
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],...
Boskoff, Wladimir G., Suceavă, Bogdan D. (2008)
Beiträge zur Algebra und Geometrie
Similarity:
Gallo, Daniel M. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
Keppens, Dirk, Van Maldeghem, Hendrik (2009)
Beiträge zur Algebra und Geometrie
Similarity:
A. Wagner (1961)
Mathematische Zeitschrift
Similarity:
Marek Kordos (1989)
Colloquium Mathematicae
Similarity:
Roland Coghetto (2017)
Formalized Mathematics
Similarity:
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...