While this question is very vague, I believe the club you're referring to is the TMRC, the Tech Model Railroad Club at MIT. They experimented with computers controlling the train sets.
Micro computer. Main-frame computer. Super computer.
Can two computers share a network if a main computer is connected to the router and the 2nd with a wire to the main computer?
Yes, they can.
When a client runs an application on a terminal server which of the client computers resources does the application utilize?
You can get all the info on the TS on this link
http://support.microsoft.com/kb/186498
Server Computer is the head of all the network computers that
called as a client computer. Server computer main duty is the main
storage of all the data of the client computers. Also, Server
computer has the Main system that the client computers will be
using.