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No, This is not a Circle
April 27, 2017 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
ZoltΓ‘n KovΓ‘cs
arXiv ID
1704.08483
Category
math.HO
Cross-listed
cs.AI
Citations
1
Venue
arXiv.org
Last Checked
3 months ago
Abstract
A popular curve shown in introductory maths textbooks, seems like a circle. But it is actually a different curve. This paper discusses some elementary approaches to identify the geometric object, including novel technological means by using GeoGebra. We demonstrate two ways to refute the false impression, two suggestions to find a correct conjecture, and four ways to confirm the result by proving it rigorously. All of the discussed approaches can be introduced in classrooms at various levels from middle school to high school.
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