Question: 2. Prove that if all normal lines to a connected regular surfaces I meet a fixed straight line, then every point of has a neighbourhood

2. Prove that if all normal lines to a connected regular surfaces I meet a fixed straight line, then every point of has a neighbourhood that is contained in a surface of revolution. Produce a counter-example (a picture with a description is fine) of a surface that fits the constraints, but is not globally a part of a surface of revolution. 2. Prove that if all normal lines to a connected regular surfaces I meet a fixed straight line, then every point of has a neighbourhood that is contained in a surface of revolution. Produce a counter-example (a picture with a description is fine) of a surface that fits the constraints, but is not globally a part of a surface of revolution

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