Ok, so on the windows PC I have an other connection to internet on an the motherboard ethernet port ...
The ethernet connection between both PC is via cross over cable. (two ethernet cards)
The 169.254.97.210 adress was in an internet example .. sorry about that I'm a novice in Network configuration.

I restarted both computers, I have configured in windows ("menu network connection") the following adress: 192.168.10.0 and 255.255.0.0 for mask.
I configured in Knoppix: ifconfig eth0 192.168.10.1 netmask 255.255.0.0

I didn't write any DNS serveur adress in windows, should I ?

Thanks for your help,

Pierre