One way to hold feeder in your head: it is the thing standing in the middle of a supply. On one side there is a store of something — seeds, paper, water, electricity, passengers. On the other side there is someone or something that needs it. The feeder is what keeps passing it across, a little at a time, so the far side never runs dry. A bird feeder passes out seeds all day while you are at work; a paper feeder passes sheets into a printer; a small river passes water into a big one. Because the English verb feed points both ways — you feed a child, and cattle feed on grass — the same word can now and then name the eating end instead.
From the word’s history
Wiktionary analyses feeder as Middle English feedere, that is feed plus the ending -er, giving 'the one that feeds'. Every modern use is still that phrase, with a different thing standing in the -er slot.
Wiktionary 把 feeder 分析成中古英語 feedere,也就是 feed 加上 -er,字面是「負責餵的那一個」。今天所有的用法都還是這句話,只是站在 -er 位置上的東西換過而已。
Wiktionary entry for feeder (packet source_ref kaikki:3f6f69a190036ae4:1021881410:19033): From Middle English feedere, federe, fedare, equivalent to feed + -er.
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