SOLVED:Let αbe an asymptotic curve in M ⊂𝐑^3 with curvature κ>0. (a) Prove that the binormal B of αis normal to the surface along α, and deduce that S(T)=τN. (b) Show that along αthe surface has Gaussian curvature K=-τ^2. (c) Use (b) to find the Gaussian curvature of the helicoid (Ex. 4.3).

A curve \gamma on a surface \mathcal{S} is called asymptotic if... | Filo

Asymptotic Normality / Distribution

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How to find asymptotes: simple illustrated guide and examples