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Quandaries & Queries
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 Topic: euclidean geometry
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 The sum of the angles of a triangle 2016-02-24 From Sophia:Does every triangle add up to 180 degrees? (Such as a unique triangle)Answered by Penny Nom. Euclid's Parallel Postulate 2013-08-20 From Justin:Hello there, I was wondering is Euclid's Fifth Parallel Postulate of parallel lines never intersecting, undecidable or essentially undecidable? Thank you so much for any help you can provide!Answered by Robert Dawson. Non-euclidean geometry 2003-12-08 From Geoffrey:How can you use non-euclidean geometry to navigate on a sphere? What geometers did work in this area?Answered by Chris Fisher. Non-Euclidean geometry 2003-12-03 From Geoffrey:What are the applications of Non-Euclidean geometry (especially hyperbolic and spherical)?Answered by Walter Whiteley. Euclidean Math puzzle 2000-01-24 From Margaret Matthews: (Check out this web-site: Simeon's Triangle Puzzle ) I have tried to figure out how this could be, because everything I know about it tells me it can't be. However, I can't seem to make it NOT work. Two right angle triangles. They are each cut up into four identical pieces. In the first, all the pieces fit together so that there are NO empty spaces; in the second, presumed to be identical in size to the first, the pieces are slightly rearranged, and now, there IS a space in the triangle. Answered by Patrick Maidorn and Claude Tardif. Non-Euclidean Geometry 1999-02-10 From Robert Smith:Is non-euclidean geometry necessary for the college bound student? I have students that are inerested in teaching math one day. My school is restricted to Euclidean Geometry.Answered by Walter Whiteley and Jack LeSage.

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