Talk:Angle excess

Higher dimensions?
How does this generalize to more than three dimensions? For instance, with four points on a 3-dimensional hypersphare (the surface of a 4-dimensional hyperball) what can we say about the 3-volume (as measured in hypersteridians?) within the hypersphere that is contained between them? I am hoping for a formula or algorithm that allows the number of hypersteridians to be computed as a function of the angles between the radial vectors to the four points. — Q uantling (talk &#124; contribs) 17:37, 10 March 2011 (UTC)

Proof that area equals radius squared times angle excess?
Can anyone add a short proof of the statement that "The area of any polygon on a sphere is proportional to the polygon's angle excess, with the proportionality constant being the square of the sphere's radius when the angle excess is given in radians"? — Q uantling (talk &#124; contribs) 17:41, 10 March 2011 (UTC)

Redirects
Would someone please create redirects for Excess angle and Defect angle, as appropriate? — Preceding unsigned comment added by 75.139.254.117 (talk) 17:17, 14 February 2017 (UTC)