This discussion relates to version 13 of the page, as of May 2004:
"Winning a ko" does not always consist of connecting after taking. Sometimes you must instead capture the opponent, because (for example) connecting the ko would be auto-atari.
That can be the case when the ko resolves a capturing race, (More at KarlKnechtelSKoStory.)
-- MortenPahle
Dieter: This page needs attention. The page is not clearer for beginners than the ko page itself. If it wants to be, a lot of diagrams are needed. The statements about connecting and/or resolving the ko need to be consolidated with diagrams.
Morten: It does seem incongruous that with all the ko-expertise we have here, this page is one of the most 'original' ones left from the dawn of SL. It was orginally written to be part of the KoFighting path, and I think it works quite well if the readers follow the path (e.g. BasicKoFightExample gives more diagrams and examples). I am not sure I think that this page needs to be overloaded with diagrams. The text speaks for itself and the rest of the path has diagrams. Ofcourse, my opinion is just that.
(end of 2004 discussion--new comments below)