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From: sewilco@mecc.UUCP (Scot E. Wilcoxon)
Newsgroups: net.puzzle,sci.math.stat
Subject: Re: Triangles in Space
Message-ID: <639@mecc.UUCP>
Date: Wed, 5-Nov-86 10:42:06 EST
Article-I.D.: mecc.639
Posted: Wed Nov  5 10:42:06 1986
Date-Received: Wed, 5-Nov-86 23:00:34 EST
References: <1550001@hpcnof.UUCP> <200@clan.UUCP>
Reply-To: sewilco@mecc.UUCP (Scot E. Wilcoxon)
Distribution: net
Organization: MN Ed. Comp. Corp., St. Paul, MN
Lines: 19
Keywords: triangles, probabilistic geometry, infinite distributions
Xref: mnetor net.puzzle:1567 sci.math.stat:19

In article <486@jumbo.DEC.COM> stolfi@jumbo.UUCP (Jorge Stolfi) writes:
>Larry Bruns asked:
>>   
>>   If three distinct points are chosen randomly anywhere in space,
>>   what is the probability that the resulting triangle is acute?
>>   (i.e.  that none of the 3 angles is greater than 90 degrees).
>

I missed the original posting, but isn't this the same as "what is the
ratio between { the range of three angles which are in acute
triangle } and { the range of three angles which are in triangles
which are not acute } ?"

Ignore the distance and just look at the possible angles.
-- 
Scot E. Wilcoxon    Minn Ed Comp Corp  {quest,dayton,meccts}!mecc!sewilco
45 03 N  93 08 W (612)481-3507                  ihnp4!meccts!mecc!sewilco
	Laws are society's common sense, recorded for the stupid.
	The alert question everything, and most laws are obvious to them.