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ERIC Number: EJ1014574
Record Type: Journal
Publication Date: 2013-Mar
Pages: 7
Abstractor: As Provided
ISSN: ISSN-0746-8342
An Ellipse Morphs to a Cosine Graph!
King, L .R.
College Mathematics Journal, v44 n2 p117-123 Mar 2013
We produce a continuum of curves all of the same length, beginning with an ellipse and ending with a cosine graph. The curves in the continuum are made by cutting and unrolling circular cones whose section is the ellipse; the initial cone is degenerate (it is the plane of the ellipse); the final cone is a circular cylinder. The curves of the continuum show the ellipse from the perspective of the intrinsic geometry of the various cones.
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Publication Type: Reports - Descriptive; Journal Articles
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A