Question: Prove that the curves Ek = {Tk x | ||x|| = 1}, k = 0, 1,2,..., sketched in Figure 10.2 form a family of ellipses

Prove that the curves Ek = {Tk x | ||x|| = 1}, k = 0, 1,2,..., sketched in Figure 10.2 form a family of ellipses with the same principal axes. What are the semi-axes? Use Exercise 8.5.19.

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