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Let a thin, flat metal plate be heated... so that the temperature T is not uniform... clamp or otherwise constrain the plate to keep it from buckling... remain flat... Make simple geometric measurements... with a short metal rule, which has a certain coefficient of expansion c... What is the geometry of the plate as revealed by the results of those measurements? ...he geometry will not turn out to be Euclidean, for the rule will expand more in the hotter regions... he plate will seem to have a negative curvature K... the kind of structure exhibited... in the neighborhood of a . (en) |
