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 Equivalent Equator Empirical Experience! (Posted on 2005-03-27)
Prove that at any time there are two opposite points along the Equator, which have exactly the same temperature. Assume the temperature function varies continuously as you move along the Equator.

Counterargument: This is patently impossible. If there are such points on the Equator, there must also be similar points on any circle around the Earth, such as a meridian. But in that case, we'd have one point in the north hemisphere, in winter, and the other in the south, in summer; that doesn't make sense!

What's wrong with this reasoning?

 See The Solution Submitted by Old Original Oskar! Rating: 2.8000 (5 votes)

 Subject Author Date No Subject Jud 2005-08-16 12:56:34 No Subject kat 2005-04-06 01:15:24 Simple solution ajosin 2005-03-28 16:14:58 re: Solution Charlie 2005-03-28 13:35:38 Solution David 2005-03-28 05:18:35 Solution Ken Haley 2005-03-28 01:06:32 Bolzano solution e.g. 2005-03-28 00:27:13 Proof Larry 2005-03-27 22:23:40 counter-counterargument Tristan 2005-03-27 20:27:49 A related theorem (partial spoiler) Larry 2005-03-27 19:30:02 re: possibly lenny 2005-03-27 14:35:20 possibly lenny 2005-03-27 14:26:19

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