Re: Balance point of a solid
- To: mathgroup at smc.vnet.net
- Subject: [mg113838] Re: Balance point of a solid
- From: Andreas <aagas at ix.netcom.com>
- Date: Mon, 15 Nov 2010 05:50:13 -0500 (EST)
- References: <iam332$jvn$1@smc.vnet.net> <ibgj10$ec3$1@smc.vnet.net>
Ray /Daniel, I came across something last night on the Wolfram Mathworld site, Cayley-Menger Determinant - A determinant that gives the volume of a simplex in dimensions. http://mathworld.wolfram.com/Cayley-MengerDeterminant.html This goes quite a beyond my experience, but I think it relates to both Daniel's "... idea to find the "hyperarea" of the base, and multiply by average of the heights." and Ray's solution. Maybe a proof of Ray's solution passes through Cayley-Menger, but Ray's seems somehow more elegant to my eyes. Many thanks for your help. Best, Andreas