‘I fancy we are all agreed there, eh, Lefarge?’ The Frenchman bowed, and Burnley continued:-- ‘I thought then of the method of the murder. Strangulation is such a brutal way of killing that it seemed the work either of a maniac, or a man virtually mad from passion. Even then it would hardly have been used if other means had been available. From that I argued the crime must have been unpremeditated. If it had been planned, a weapon would have been provided.’ ‘A good point, Mr. Burnley. I also had come to the same conclusion. Please continue.’ ‘If this was so, it followed that some person, when alone with Mme. Boirac, had suddenly been overcome with absolute, blind passion. What, I asked myself, could have aroused this? ‘A love affair, causing hate or jealousy, naturally suggested itself, but I could not fit it in. Who could have felt these passions? ‘Considering Felix first, I did not see how he could experience either hate or jealousy against a woman who had eloped with him. It is true, a lover’s quarrel might have taken place, resulting in something approaching temporary hatred, but it was inconceivable this would be bitter enough to lead to such a climax. Jealousy, I did not believe could be aroused at all. It seemed to me that Felix would be the last man in the world to commit the crime. ‘Then it occurred to me that hate and jealousy would be just what one might expect to find in Boirac’s case. If he were guilty, the motive would be obvious. And then, when M. Lefarge discovered yesterday that a cask similar to that in which the body was found had been unpacked in Boirac’s study, I felt sure this was the solution. However, since hearing the explanation of the presence of that cask, I admit I am again in doubt.’ ‘I agree with all you say, Mr. Burnley, except that we should remember that the passions of hate and jealousy could only arise in Boirac’s mind in a certain circumstance, namely, that he was aware his wife had eloped, or was about to elope, with Felix. If he were in ignorance of that, it is obvious he could have had no such feelings.’ ‘That is so, sir. Yes, it would only be if he knew.’ ‘And then, again, it would only be if he really loved his wife. If not, he might be vastly annoyed and upset, but not enough to throttle her in the blind passion we have spoken of. If they were not on good terms, or if there was some other woman in Boirac’s life, he might even view her action with delight, as a welcome relief, particularly as there were no children to complicate the question of a divorce.’ The Chief looked inquiringly at his companions. ‘I agree with that too, sir,’ said Burnley, answering the look. ‘And I, monsieur,’ added Lefarge. ‘So then, we have reached this point. If Boirac was in love with his wife, and if he knew she had eloped or was about to do so, he would have had a motive for the crime. Otherwise, we can suggest no motive at all, either for him, or Felix, or anybody else.’