ERIC Number: EJ1014574
Record Type: Journal
Publication Date: 2013-Mar
Abstractor: As Provided
Reference Count: N/A
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.
Descriptors: Graphs, Algebra, Mathematical Concepts, Mathematics Instruction, College Mathematics, Geometric Concepts, Geometry
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Publication Type: Reports - Descriptive; Journal Articles
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A