Abstract linear dependence.
Dogaru, O., Doroftei, M., Ţevy, I., Dogaru, V. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Dogaru, O., Doroftei, M., Ţevy, I., Dogaru, V. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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William M. Kantor (1972)
Mathematische Zeitschrift
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Boskoff, Wladimir G., Suceavă, Bogdan D. (2008)
Beiträge zur Algebra und Geometrie
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Judita Cofman (1972)
Mathematische Zeitschrift
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Roland Coghetto (2017)
Formalized Mathematics
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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...
Marek Kordos (1989)
Colloquium Mathematicae
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Roland Coghetto (2016)
Formalized Mathematics
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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],...
Ivan Kolář (1966)
Časopis pro pěstování matematiky
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Krystyna Gozdalska (1991)
Mathematica Bohemica
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Some examples of affine planes non-extensible to a Laguerre plane are studied and conditions for the uniqueness of a Laguerre extension are given.
Keppens, Dirk, Van Maldeghem, Hendrik (2009)
Beiträge zur Algebra und Geometrie
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