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ERIC Number: EJ938176
Record Type: Journal
Publication Date: 2006-Sep
Pages: 11
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0746-8342
The Maximal Deflection on an Ellipse
Kalman, Dan
College Mathematics Journal, v37 n4 p250-260 Sep 2006
At each point of an ellipse one can attach a normal vector and a radial vector, the latter defined as the vector from the center of the ellipse. At the ends of the major and minor axes, the two vectors coincide, but at all other points they are separated by an angle [delta]. What is the maximum value that [delta] can attain, and where does it occur? This question leads to a surprisingly rich area of investigation, encompassing several different analytic solutions, geometric interpretations, an extension to "n" dimensions, and a geographical application.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A