I have a simple question - having a triangulated mesh, and knowing the position of 3 vertices (a triangle), how do I project the same texture whitin the 3 vertices fo the other 3 vertices defined by me?
Sorry, your question is still not clear to me. And seems like this also holds for most others. Maybe try to give a more comprehensible description and maybe some screenshot or sketch.
You could use the (x, y) coordiantes for (u, v), or the (y, z) or the (x, z). They may need to be scaled and biased because u and v range from 0.0 to 1.0. These are the planar projections. With a bit of maths, though, you can do planar projections on any plane. If you want the texture to "wrap" you could use polar coordinates. Or do you just want a tool like UVMapper?