unudul you tall EXERCISE 4.4. Let S be an oriented regular surface and let f be a rigid motion of R. Recall that the image f natural induced orientation (Exercise 3.64(2) on page 158). Describe how the hat the image f(S) is also a regular surface with a Gaussian and mean curvatures of S and f(S) are related. Repeat if instead, f is the dilation map pH 1.p for some nonzero XER. EXERCISE 3.64. Let S be an orientable regular surface, N an orie for S, and f a rigid motion of R3. (1) Show that the image S = f(S) is a regular surface. (2) Define :S + R3 such that N(f(p)) = dfp(N) for all pe S. Shor that is an orientation of . unudul you tall EXERCISE 4.4. Let S be an oriented regular surface and let f be a rigid motion of R. Recall that the image f natural induced orientation (Exercise 3.64(2) on page 158). Describe how the hat the image f(S) is also a regular surface with a Gaussian and mean curvatures of S and f(S) are related. Repeat if instead, f is the dilation map pH 1.p for some nonzero XER. EXERCISE 3.64. Let S be an orientable regular surface, N an orie for S, and f a rigid motion of R3. (1) Show that the image S = f(S) is a regular surface. (2) Define :S + R3 such that N(f(p)) = dfp(N) for all pe S. Shor that is an orientation of