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Differential Geometry : Gauss's view of curvature and the Theorema Egregium |
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Written by pornrat
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Wednesday, 30 July 2014 00:44 |
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In this video we discuss Gauss's view of curvature in terms of the derivative of the Gauss-Rodrigues map (the image of a unit normal N) into the unit sphere, and expressed in terms of the coefficients of the first and second fundamental forms. We have a look at these equations for the special case of a paraboloid, where we can compare with our previous discussion of curvature.
ที่มา : http://www.youtube.com/channel/UCXl0Zbk8_rvjyLwAR-Xh9pQ
ลิงค์ : http://youtu.be/R1oU5m69ILk
อัพโหลดโดย : njwildberger
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