Comments on: The Annoyance of Hyperbolic Surfaces
https://blog.tanyakhovanova.com/2018/11/the-annoyance-of-hyperbolic-surfaces/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Fri, 14 Dec 2018 17:19:13 +0000hourly1https://wordpress.org/?v=5.0.1By: George R.
https://blog.tanyakhovanova.com/2018/11/the-annoyance-of-hyperbolic-surfaces/#comment-12753
Tue, 11 Dec 2018 10:26:28 +0000https://blog.tanyakhovanova.com/?p=1378#comment-12753Hi Tanya!
Ι think a horse saddle is a good approximation of a hyperbolic surface.
The sum of angles in a triangle drawn on this surface would be smaller than 2π ,and parallel lines would not be equidistant,but would diverge gradually from each other .
]]>By: Knitting^2 – The nth Root
https://blog.tanyakhovanova.com/2018/11/the-annoyance-of-hyperbolic-surfaces/#comment-12741
Thu, 29 Nov 2018 00:02:32 +0000https://blog.tanyakhovanova.com/?p=1378#comment-12741[…] After not working with my hands for 28 years, one day I needed hyperbolic surfaces for my classes and I couldn’t find any to buy. Hyperbolic surfaces are famous for providing an example when the Euclid’s Fifth axiom doesn’t work. These hyperbolic surfaces look flat locally, so you can continue a line in any given direction. If you draw a line on such a surface and pick a point that is not on the line, then you can draw many lines through the point that are parallel to the given line. … (Tanya Khovanova’s Math Blog) […]
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