EQUIVALENCE OF PARABOLA΄S DEFINITIONS WITHIN MATHEMATICAL MACHINES SIMULATED BY “GEOGEBRA”

Authors

  • Georgios K. Ntontos 9th Lyceum of Patras, 62 Australias 26442 Patras, Greece orcid.org/0009-0004-7244-8637
  • Eugenia Koleza University of Patras, 26504 Rio, Achaia, Greece orcid.org/0009-0000-8211-1924

DOI:

https://doi.org/10.46827/ejes.v11i1.5171

Keywords:

parabolograph, mathematical machines, definitions of parabola, Geogebra simulations

Abstract

This paper aims to highlight two historical parabolographs and a third one that is at the design level and to prove the equivalence of the respective definitions of parabola they contain. Specifically, using the Geogebra math software, each mechanism is attempted to articulate another, so that by moving the cursor of the original mechanism to the common output of the two articulated mechanisms, the same parabola is drawn. This proves the equivalence of definitions of parabolic curve as well as of suitably articulated mathematical machines.

 

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Author Biography

  • Georgios K. Ntontos, 9th Lyceum of Patras, 62 Australias 26442 Patras, Greece orcid.org/0009-0004-7244-8637

    The author is a Mathematician at the 9th Lyceum of Patras and a PhD candidate at the University of Patras with the supervising Professor of Mathematics Ms. Koleza Eugenia. He has published articles with collaborators at conferences of the Hellenic Mathematical Society on experimental Mathematics and STEM education. The subject of research is analysis, simulation, construction of mathematical machines and introduction to secondary education.

References

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Published

2024-01-16

Issue

Vol. 11 No. 1 (2024)

Section

Articles

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