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Mar 22, 2012 at 16:57 comment added roy smith Gauss apparently defined curvature, as repeated by Riemann in his paper translated in Spivak, as (the angle sum minus 2π)/area for an infinitesimal triangle centered at the point. This occurs in a nice article about Descartes' anticipation of Euler's theorem: ams.org/samplings/feature-column/fcarc-descartes6 Another nice elementary discussion is in chapter 7 of Experiencing Geometry, 2nd edition, by David Henderson. see also: post #29, my paragraph on parallel transport: physicsforums.com/showthread.php?t=578235&page=2
Apr 27, 2010 at 13:10 vote accept Lea M
Apr 24, 2010 at 18:45 comment added Lea M Thanks so much for all of your suggestions-I'll definitely check out the books you all recommended. Thanks again for your help!
Apr 24, 2010 at 15:22 answer added Deane Yang timeline score: 4
Apr 24, 2010 at 6:35 answer added Benoît Kloeckner timeline score: 3
Apr 24, 2010 at 6:17 history edited Cam McLeman
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Apr 24, 2010 at 6:11 answer added Andrey Rekalo timeline score: 5
Apr 24, 2010 at 6:07 answer added Cam McLeman timeline score: 2
Apr 24, 2010 at 5:40 history asked Lea M CC BY-SA 2.5