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Equivalent Equator Empirical Experience! (Posted on 2005-03-27) Difficulty: 3 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectJud2005-08-16 12:56:34
No Subjectkat2005-04-06 01:15:24
SolutionSimple solutionajosin2005-03-28 16:14:58
re: SolutionCharlie2005-03-28 13:35:38
SolutionSolutionDavid2005-03-28 05:18:35
SolutionSolutionKen Haley2005-03-28 01:06:32
SolutionBolzano solutione.g.2005-03-28 00:27:13
SolutionProofLarry2005-03-27 22:23:40
counter-counterargumentTristan2005-03-27 20:27:49
A related theorem (partial spoiler)Larry2005-03-27 19:30:02
re: possiblylenny2005-03-27 14:35:20
possiblylenny2005-03-27 14:26:19
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