Translations for feed in French

Here are paragraphs from public domain books translated:
"What folly," murmured Anne of Austria, who had not the courage to find fault with the duke for having so well preserved her portrait in his heart, "what folly to feed a useless passion with such remembrances!" — Quelle folie ! murmura Anne d’Autriche, qui n’avait pas le courage d’en vouloir au duc d’avoir si bien conservé son portrait dans son cœur ; quelle folie de nourrir une passion inutile avec de pareils souvenirs !
The Three Musketeers, by Alexandre Dumas Les Trois Mousquetaires, de Alexandre Dumas
“There's only one thing that interests me. The tramp, all said and done, was free at night and able to feed on what he could pick up. But how about drinking?” « Un seul point m’intéresse. Le chemineau, somme toute, étant libre, la nuit a pu se nourrir tant bien que mal. Mais comment pouvait-il boire ?
The Confessions of Arsene Lupin, by Maurice Leblanc Les Confidences d’Arsène Lupin, de Maurice Leblanc