Does that adapter support Coppermines? If it does, it should have a switch (jumper) for Coppermines or "Celerons".
As long as the adapters are coppermine compatable they should work with 133MHz bus coppermines as well. But I don't think that version of the adapter was.
I'd suggest you go with a pair of PIII 1.4 Tualatins and a pair of Upgradeware Slot-T adapters.
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