Translations for persistence in French

Here are paragraphs from public domain books translated:

He went then to the queen, and according to custom accosted her with fresh menaces against those who surrounded her. Anne of Austria lowered her head, allowed the torrent to flow on without replying, hoping that it would cease of itself; but this was not what Louis XIII meant. Louis XIII wanted a discussion from which some light or other might break, convinced as he was that the cardinal had some afterthought and was preparing for him one of those terrible surprises which his Eminence was so skillful in getting up. He arrived at this end by his persistence in accusation.

Il alla donc trouver la reine, et, selon son habitude, l’aborda avec de nouvelles menaces contre ceux qui l’entouraient. Anne d’Autriche baissa la tête, laissa s’écouler le torrent sans répondre, et espérant qu’il finirait par s’arrêter ; mais ce n’était pas cela que voulait Louis  XIII  ; Louis  XIII voulait une discussion de laquelle jaillît une lumière quelconque, convaincu qu’il était que le cardinal avait quelque arrière-pensée et lui machinait une surprise terrible comme en savait faire Son Éminence. Il arriva à ce but par sa persistance à accuser.

The Three Musketeers, by Alexandre Dumas

Les Trois Mousquetaires, de Alexandre Dumas