Euler's Theorem (differential Geometry)

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
ISBN:  

9786131238840


Pages:   126
Publication Date:   14 August 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Euler's Theorem (differential Geometry)


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High Quality Content by WIKIPEDIA articles! In the mathematical field of differential geometry, Euler's theorem is a result on the curvature of curves on a surface. The theorem establishes the existence of principal curvatures and associated principal directions which give the directions in which the surface curves the most and the least. The theorem is named for Leonard Euler who proved the theorem in (Euler 1760). More precisely, let M be a surface in three-dimensional Euclidean space, and p a point on M. A normal plane through p is a plane passing through the point p containing the normal vector to M. Through each (unit) tangent vector to M at p, there passes a normal plane PX which cuts out a curve in M.

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Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.70cm , Length: 15.20cm
Weight:   0.196kg
ISBN:  

9786131238840


ISBN 10:   6131238847
Pages:   126
Publication Date:   14 August 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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