Given the age of your card (it was launched in 2008 according to Wikipedia), it is unlikely that the newest Mesa is required.

Try to install the package named libgl1-mesa-dri-experimental (you can, for instance, search it in the Synaptic package manager, which can be launched from the System/Administration menu). It will probably work from a Live CD too. However you may need to restart the X Server (without rebooting!). To do so you can log in a "real" terminal with Crtl+Alt+F[1-6] (i.e., Ctrl+Alt+F1 or Ctrl+Alt+F2 or...) and then execute this command to restart Trisquel's display manager:
$ sudo service gdm restart

The 3D acceleration brought by libgl1-mesa-dri-experimental comes at the cost of less stability (hence the "experimental" in the name).

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