Closed orbits parallel to quadrilaterals inscribed in various conic sections

• Moshe Stupel ^[1] ; Shula Weissman ^[2] ; Avi Sigler ^[1]
  1. [1] Shaanan Academic Religious Teachers’ college
  2. [2] Gordon Academic college
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 52, Nº. 7, 2021, págs. 1097-1107
• Idioma: inglés
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• Resumen

  • This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes.

    Quadrilaterals parallel to a quadrilateral inscribed in a circle were found to have two interesting characteristics. The mathematics was conducted with student mathematics teachers and teacher trainees, accompanied by dynamic research using computer software.