**ii A map that is both conformal and equiareal is a local**
https://www.coursehero.com/file/p1e7735/ii-A-map-that-is-both-conformal-and-equiareal-is-a-local-isometry-37-Give-an/

37 Give an example of an equiareal map that is not a local isometry. 6.4.6 Prove Theorem 6.4.5. 6.4.7 Let σ (u,v) be a surface patch with standard unit normal N. Show that N × σ u = Eσ v − Fσ u √ EG − F 2, N × σ v = Fσ v − Gσ v √ EG − F 2. 6.4.8 Find the area of the part of the helicoid σ (u,v) = (u cos v,u sin v,v) corresponding to 0 <u< 1, 0 <v< 2 π. 6.4.9 Suppose that all the polygons in Exercise 6.4.4 have …

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