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Identifikacija krivulja drugog reda ; Identification of Second - Order Curves

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  • Additional Information
    • Contributors:
      Marošević, Tomislav
    • Publication Information:
      Sveučilište Josipa Jurja Strossmayera u Osijeku. Odjel za matematiku. Zavod za teorijsku matematiku. Katedra za algebru i matematičku analizu.
      Josip Juraj Strossmayer University of Osijek. Department of Mathematics. Chair of Pure Mathematics. Algebra and Calculus Research Group.
    • Publication Date:
      2021
    • Collection:
      Repository of the University of Osijek
    • Abstract:
      Tema ovog završnog rada su krivulje drugog reda te njihova identifikacija pomoću kvadratnih formi. Za svaku osnovnu krivulju drugog reda dana je definicija te osnovna svojstva. Glavni dio ovog završnog rada je identifikacija osnovnih krivulja (elipse, hiperbole i parabole) i taj dio je popraćen primjerima s detaljnim rješenjima i grafičkim prikazima. Grafički prikazi su dobiveni u programu dinamične geometrije GeoGebra. Na kraju rada dani su i primjeri specijalnih slučajeva koji se mogu dobiti identifikacijom krivulja. ; The topic of this final paper is second-order curves and their identification using square forms. For each basic second-order curve, a definition and basic properties are given. The main part of this final paper is the identification of the basic curves (ellipses, hyperbolas and parabolas) and is accompanied by examples with detailed solutions and graphical representations. Graphical representations obtained in the program of dynamic geometry GeoGebra. At the end of the paper, examples of special cases that can be obtained by identifying curves are also given.
    • File Description:
      application/pdf
    • Relation:
      https://repozitorij.unios.hr/islandora/object/mathos:537; https://urn.nsk.hr/urn:nbn:hr:126:232681; https://repozitorij.unios.hr/islandora/object/mathos:537/datastream/PDF
    • Online Access:
      https://repozitorij.unios.hr/islandora/object/mathos:537
      https://urn.nsk.hr/urn:nbn:hr:126:232681
      https://repozitorij.unios.hr/islandora/object/mathos:537/datastream/PDF
    • Rights:
      http://rightsstatements.org/vocab/InC/1.0/ ; info:eu-repo/semantics/openAccess
    • Accession Number:
      edsbas.CE57263