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(talk) 01:01, 4 December 2012 (UTC) The hyperbolic triangle for the section Euclidean geometry is a right triangle with hypothenuse being the radius from...

25 Kennelly defines hyperbolic sine by XE and hyperbolic cosine by 0X in his figure, similar to statements in hyperbolic triangle. An attentive student...

of the disk are not part of the hyperbolic plane, true. So an ideal triangle doesn't have vertices within the hyperbolic plane. That doesn't mean it's not...

or hyperbolic (if hyperbolic). —Nils von Barth (nbarth) (talk) 19:43, 3 June 2010 (UTC) Yes, I generated the images from KaleidoTile, any triangle group...

about hyperbolic groups is that any group where bigons (two-sided polygons) are δ-thin are hyperbolic. That is, thin-bigons implies thin triangles (although...

Corrections were made noting hyperbolic angle as the value of an inverse hyperbolic function, and the correct hyperbola as xy =1. The fact that areas correspond...

of triangle? Sum of triangle is 180 Because of is half of triangle is formed by the 90° and the full triangle of is 180° That means sum of triangle is...

to fix. Nowhere is the notion of hyperbolic distance mentioned, or any of the nice formulas such as area of a triangle = sum of its angles. I'd like to...

May 2008 (UTC) In the hyperbolic plane, the angle defect of a triangle is the product of the curvature and the area of the triangle. In particular, it is...

caption for the first figure (as of Feb 1, 2016 it shows a hyperbolic triangle embedded in a hyperbolic plane) uses two terms which I think ought to be replaced:...

positive integer greater than one. Applying successive hyperbolic reflections in its sides, such a triangle generates a tessellation of the upper half plane...

the area of its hyperbolic sector. The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector. While the above...

four centers: http://www.archive.org/details/journey_to_the_center_of_a_triangle 76.117.247.55 (talk) 00:38, 2 May 2011 (UTC) I was just thinking, we really...

theorems are therefore true in some non-Euclidean geometries, such as hyperbolic geometry, as well as in Euclidean geometry" is misleading: using "some"...

area of a triangle = sum of its angles No that is not a valid formula in hyperbolic geometry, the valid formula is mentioned see hyperbolic geometry#Standardized...

on tiling of the hyperbolic plane. It might be worthwhile to add links or images to his work. If you Google "escher tiling hyperbolic", you get many images...

20:31, 4 June 2010 (UTC) Of the figures that can tile the hyperbolic plane, this triangle has the smallest area. I'll add that statement to the article...

metric concept in hyperbolic geometry. The equations find the angle of parallelism based on a leg of an ideal triangle in the hyperbolic plane. Today the...

perpendicular lines. (I do not think such figures are considered "hyperbolic triangles"?) There is also an infinite amount of space left untiled, really:...

comment was added at 08:58, 21 October 2007 (UTC) Clearly the (2,3,7) triangle group is not simple because it has non-trivial finite quotient groups....