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Path: utzoo!watmath!sunybcs!colonel
From: colonel@sunybcs.UUCP (Col. G. L. Sicherman)
Newsgroups: net.puzzle,sci.math
Subject: Re: Triangles in Space
Message-ID: <1370@sunybcs.UUCP>
Date: Wed, 5-Nov-86 10:17:44 EST
Article-I.D.: sunybcs.1370
Posted: Wed Nov  5 10:17:44 1986
Date-Received: Fri, 7-Nov-86 21:05:28 EST
References: <200@clan.UUCP> <772@tekchips.UUCP> <2664@curly.ucla-cs.ARPA>
Distribution: net
Organization: DALEK Reproducing Equipment, Inc.
Lines: 15
Keywords: triangles, probabilistic geometry
Xref: watmath net.puzzle:2138 sci.math:129

>    If we must think of it in terms of pure geometry, why this silly 
> preference for a space with zero curvature?  If we assume positive
> curvature, as for Riemannian spherical geometry, we lend an entirely 
> new twist to the problem.

Why consider 3-space at all?  I would guess that the original problem was
meant for 2-space.

So how about 3 random vertices on a sphere?  That's meaningful.  Shouldn't
be too hard to figure out the integral.
-- 
Col. G. L. Sicherman
UU: ...{rocksvax|decvax}!sunybcs!colonel
CS: colonel@buffalo-cs
BI: colonel@sunybcs, csdsiche@sunyabvc