ISSN:
1420-8997
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract LetV be a quadrilateral in aMoufang-plane π, in which theFano-proposition is valid. Take the pointsP,Q,R respectively in the diagonalsp,q,r ofV and construe the pointsP *,Q *,R * inp,q, r harmonic toP,Q,R with respect to pairs of edges ofV. IfP,Q,R are collinear, so areP *,Q *,R *, if and only if π is aPappos-plane. Is π⊃V “classical”, the pointsP 1 εp,Qεq,Rεr and their harmonic conjugatesP 1 * ,Q *,R * (construed as above mentioned) lay in a curve of 2nd order.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01951185
Permalink