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No, This is not a Circle!
unpublished
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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 result, including novel technological means by using GeoGebra. We demonstrate 2 ways to refute the false conjecture, 2 ways to find a correct conjecture, and 4 ways to confirm the result by proving. All of the discussed approaches can be introduced in classrooms at various levels from middle school to high school.
fatcat:hfkoqgsu6zfohp4fm4hbqlj4pu