@misc{Florek_Jan_On_2011, author={Florek, Jan}, year={2011}, rights={Wszystkie prawa zastrzeżone (Copyright)}, publisher={Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu}, description={Mathematical Economics, 2011, Nr 7 (14), s. 65-70}, language={eng}, abstract={Let p, q, rbe any three lines in the plane passing through a common point and suppose that O, P, Q, Rare any four collinear points such that P∈ p, Q ∈ q, R ∈ r, Pand Rare harmonic conjugates with respect to Oand Q(that is, │OP│/ │PQ│= │OR│/│QR│). For every k ≥2, we construct a set Xnof n= 4kpoints, which is distributed on the lines p, q, r, but each element of Xnᵕ\{O\} is incident to at most n/2 lines spanned by Xnᵕ\{O\}.}, title={On some extremal problem in discrete geometry}, type={artykuł}, keywords={Dirac-Motzkin conjecture, Desargues' theorem}, }