Also, from the same link, this:
That China hardly had any influence in the coastal waters around Taiwan is apparent from the two following examples: when in the 1870's Taiwanese pirates captured American, Japanese and French ships passing the island, these governments protested to Peking, but the Manchu emperor said: "Taiwan is beyond our territory."
I did a google search that quote “Taiwan is beyond our territory” and came up with this same paragraph on several different sites. I fiddled around on google for a while using searchwords like “Manchu, emperor, Taiwan”, trying to flesh out this reported event with more details, but found nothing beyond the information in that paragraph. It doesn’t say exactly what year this was supposed to have happened, who the Manchu emperor was at the time, what the outcome of the struggle with the pirates was, or what source this alleged quote comes from. Can anybody find any more data on this?