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From: Archimedes Plutonium on 1 Feb 2010 00:45 Enrico wrote: > Re: > > What is your understanding, Enrico and David, if you be so kind to > tell, can a latitude > be a side of a triangle in Elliptic geometry, or must every side of > any triangle in Elliptic > geometry be segments of a "great-circle". > > Equator is the only latitude that will work (Great Circle). > A striaght line on a sphere is a great circle by definition. > > Re: > > Apparently from Wolfram, they would say that a Elliptic equilateral > triangle has no > bounds in being formed so that there exists a 1 by 1 by 1 degree arc > equilateral elliptic > triangle as well as a 60 by 60 by 60. Is that true, Enrico and David? > > It looks like its true - In playing with the graphics applets, it > seems that I can position 3 great circles to get an equilateral > triangle, the move them evenly to get the triangle as small as i like. > > I've been surfing the various sites for non-euclidian geometry all > afternoon - Hyperbolic is the one that's real tough for me to > visualize, so here's another site with good tools, for free: > > http://cs.unm.edu/~joel/NonEuclid/NonEuclid.html > > > Enrico I never tread into hyperbolic, being too tough for what little gain I exact. Appreciate the help you provided. At the moment I am stuck. Stuck with wanting 10% and not getting it. Unless I can think of something else, I should abandon this attempt. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
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