Projectors
Understanding projectors is a great aid when planning installations and performances, and the definitive place to start learning is the Guide to projectors for interactive installations from Creative Applications.
A good default setup is a DLP projector with at least 3000 Lumen and ST (Short Throw). 1080p/HD-quality is not necessary.
When a projector is chosen, use the Projection Calculator from Projector Central to understand how far the projector must be placed to cover a certain area (amongst other things).