<< run coaxial cable from the computer to my television? >>
If by coaxial you mean like what the cable TV company uses then it is not so simple and you would be better off buying a set-top DVD player. But if your TV has either composite or S-video inputs then you need either a graphics card with TV-out, a PCI DVD decoder card with TV-out, or an external scan converter. Actually, most people would be better off just buying a set-top player since they can be found for about $100 these days.