Closed orbits parallel to quadrilaterals inscribed in various conic sections. Issue 7 (9th August 2021)

• Record Type: Journal Article
• Authors: Stupel, Moshe; Weissman, Shula; Sigler, Avi
• Is Part Of: International journal of mathematical education in science and technology. Volume 52:Issue 7(2021)
• Page Start: 1097
• Page End: 1107
• Publication Date: 2021-08-09
• Subjects: Dynamic geometry software -- GeoGebra software -- geometry problem research -- classroom activity; Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; 510.07
• DOI: 10.1080/0020739X.2020.1819575
• Languages: English
• ISSNs: 0020-739X

Abstract

ABSTRACT: 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.