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ERIC Number: EJ1122726
Record Type: Journal
Publication Date: 2017
Pages: 13
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Dynamic Investigation of Triangles Inscribed in a Circle, Which Tend to an Equilateral Triangle
Stupel, Moshe; Oxman, Victor; Sigler, Avi
International Journal of Mathematical Education in Science and Technology, v48 n1 p149-161 2017
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.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A