Perspective case of the Pappus theorem in the n-dimensional projective space

• Autorzy: Witczyński K.
• Języki publikacji: EN

Abstrakty

EN

A generalisation to the n-dimensional projective space Pn(F) of the perspective case of the Pappus theorem is given. It is shown, additionally, that in such a case the ground field F might be non-commutative.

Słowa kluczowe

EN

Pappus theorem; projective space; commutativity

PL

twierdzenie Pappusa; przestrzeń projektywna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 925--928
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Witczyński K.

• Faculty of Mathematics and Information Sciences, Warsaw University of Technology. Pl. Politechniki 1, 00-661 Warszawa, Poland,

Bibliografia

• [1] K. Witczyński, Generalized Pappus theorem in the projective spoce Pn, Bull. Acad, Polon. Sci. Ser. Sci. Math. Astronom. Phys. 9, 1979, 705-709.
• [2] D. Witczyńska, Pappus' configuration in the projective space Pn, Demonstratio Math. 12, 1979, 593-598.
• [3] K. Witczyński, On Pappus' theorem in the projective space Pn, Demonstratio Math. 23, 1990, 1099-1103.
• [4] K. Witczyński, Pappus's theorem in the projective space of even dimension, Demonstratio Math. 25, 1992, 1001-1004.
• [5] W. V. D. Hodge, D. Pedoe, Methods of Algebraic Geometry, Cambrigde University Press, 1994.