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  2. DIFFERENTIAL GEOMETRY, D COURSE Gabriel P. Paternain Department of ...

    https://www.dpmms.cam.ac.uk/~gpp24/dgnotes/dg.pdf
    28 Nov 2012: 2.6. Theorema Egregium. Theorem 2.24 (Theorema Egregium, Gauss 1827). The Gaussian curvatureK of a surface is invariant under isometries. ... where. W(t) :=αs(t)s. s=0. 23. 24 3. CRITICAL POINTS OF LENGTH AND AREA.

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