Electronic Resource
Springer
Geometriae dedicata
83 (2000), S. 31-37
ISSN:
1572-9168
Keywords:
Vollständiges Viereck
;
Kegelschnittbüschel
;
Konjugiertheitsabbildung
;
Inversion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The conjugacy mapping rel. to a complete quadrangle in a Pappian projective plane of characteristic ≠2 is constructed by using a bijection of the line set onto the bundle of conics through the diagonal points of the quadrangle. The inversion with center O of the inversion circle going through the point P in the Euclidean plane proves to be the product of the reflection at OP and the affine restriction of the conjugacy mapping rel. to the quadrangle having P as one of its vertices and O together with the circular points at infinity as diagonal points.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005294714649
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