On Some Extremal Problem in Discrete Geometry

• Autorzy: Jan Florek
• Języki publikacji: EN

Abstrakty

EN

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}.(original abstract)

Słowa kluczowe

EN

Mathematics

PL

Matematyka

• Czasopismo: Mathematical Economics
• Rocznik: 2011
• Numer: nr 7(14)
• Strony: 65--70

Twórcy

autor

Jan Florek

• Uniwersytet Ekonomiczny we Wrocławiu

Bibliografia

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