Dynamic Investigation of Triangles Inscribed in a Circle, Which Tend to an Equilateral Triangle

Autor/inn/en	Stupel, Moshe; Oxman, Victor; Sigler, Avi
Titel	Dynamic Investigation of Triangles Inscribed in a Circle, Which Tend to an Equilateral Triangle
Quelle	In: International Journal of Mathematical Education in Science and Technology, 48 (2017) 1, S.149-161 (13 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2016.1206978
Schlagwörter	Geometry; Geometric Concepts; Investigations; Mathematical Concepts; Mathematics Activities; Computer Uses in Education; Learning Activities; Class Activities; Teaching Methods; Mathematical Logic; Mathematical Formulas; Problem Solving + Suchen Sie Ihr Suchwort? Geometrie; Elementare Geometrie; Untersuchung; Computernutzung; Lernaktivität; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematical logics; Mathematische Logik; Mathematische Formel; Problemlösen
Abstract	We present a geometrical investigation of the process of creating an infinite sequence of triangles inscribed in a circle, whose areas, perimeters and lengths of radii of the inscribed circles tend to a limit in a monotonous manner. First, using geometrical software, we investigate four theorems that represent interesting geometrical properties, after which we present formal proofs that rest on a combination between different fields of mathematics: trigonometry, algebra and geometry, and the use of the concept of standard deviation that is taken from statistics. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01