Guidance on sharing internet, in a particular "router+machines" setup

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http://www.linuxquestions.org – Hi all. Today, I came across the following usage scenario :: 1) One router, serving internet, through wifi and wires. 2) First machine, running Fedora-17, that was connected to internet, through its wifi interface. This first machine, has both wireless and wired interface-cards. 3) Another (second) machine was bought in, running Windows-7. This second machine, has only wired interface. Now, what I wanted is if somehow the internet could be made available on the second machine, by inter-connecting the first and second machine through a normal ethernet cable. However, I could not mak (HowTos)