The answers to exercises marked IBB] can be found in the Back of the Book.
[BB] For (x, y) and (1i, v) ∈ R2 define (a, y) ~ (w, v) if and only if x2 − y2 = u2 − v2. Prove that ~ defines an equivalence relation on R2. Describe geometrically the equivalence class of (0, 0). Describe geometrically the equivalence class of (1,0).
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