Hi, had similar problem myself, the problems are either you don't have a sufficient graphics or video card or you don't have or are not up to date with OpenGL drivers. The trio 32/64 graphic card is not one that is most likely to run with this game, because i had one for my old machine and came up with exactly the same problem, i will give you OpenGL updates but my solution is get yourself a better graphics card for Quake III Arena
http://www.versiontracker.com/dyn/moreinfo/win/18800 - This is the site for the update, scroll until you see 'Download' should be under Additional Requierments
This is the minimum in Graphics cards that will run with Quake III
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All 3dfx chips and higher
nVIDIA Riva 128 and 128ZX and higher
Matrox G200 & G400and higher
ATI Rage Pro & Rage128 and higher
nVIDIA Riva TNT and TNT2 and higher
Intel i740and higher
nVIDIA GeForce 256 and higher
Hope This Helps
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