If you look up etymology of "capitulate" I comes from a word that at first had nothing to do with "surrender". So "recapitulate" means to go back over the important points.
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LL capitulatus, pp. of capitulare, to draw up in heads or chapters, arrange conditions < capitulum: see CAPITULAR6
1 to give up (to an enemy) on prearranged conditions; surrender conditionally
2 to give up; stop resisting
—SYN YIELD