suggest that after stabbing his victim, Conneau removed his suit of clothes, donned it himself, and replaced the dagger?”

“I don’t see that that matters,” I objected rather huffily. “He may have obtained clothes and money from Madame Daubreuil by threats earlier in the day.”

“By threats⁠—eh? You seriously advance that supposition?”

“Certainly. He could have threatened to reveal her identity to the Renaulds, which would probably have put an end to all hopes of her daughter’s marriage.”

“You are wrong, Hastings. He could not blackmail her, for she had the whip hand. Georges Conneau, remember, is still wanted for murder. A word from her and he is in danger of the guillotine.”

I was forced, rather reluctantly, to admit the truth of this.

Your theory,” I remarked acidly, “is doubtless correct as to all the details?”

“My theory is the truth,” said Poirot quietly. “And the truth is necessarily correct. In your theory you made a fundamental error. You permitted your imagination to lead you astray with midnight assignations and passionate love scenes. But in investigating crime we must take our stand upon the commonplace. Shall I demonstrate my methods to you?”

“Oh, by all means let us have a demonstration!”

Poirot sat very upright and began, wagging his forefinger emphatically to emphasize his points.

“I will start as you started from the basic fact of Georges Conneau. Now the story told by Madame Beroldy in court as to the ‘Russians’ was admittedly a fabrication. If she was innocent of connivance in the crime, it was concocted by her, and by her only as she stated. If, on the other hand, she was not innocent, it might have been invented by either her or Georges Conneau.

“Now is this case we are investigating, we meet the same tale. As I pointed out to you, the facts render it very unlikely that Madame Daubreuil inspired it. So we turn to the hypothesis that the story had its origin in the brain of Georges Conneau. Very good. Georges Conneau, therefore, planned the crime with Madame Renauld as his accomplice. She is in the limelight, and behind her is a shadowy figure whose alias is unknown to us.

“Now let us go carefully over the Renauld Case from the beginning, setting down each significant point in its chronological order. You have a notebook and pencil? Good. Now what is the earliest point to note down?”

“The letter to you?”

“That was the first we knew of it, but it is not the proper beginning of the case. The first point of any significance, I should say, is the change that came over M. Renauld shortly after arriving in Merlinville, and which is attested to by several witnesses. We have also to consider his friendship with Madame Daubreuil, and the large sums of money paid over to her. From thence we can come directly to the 23rd May.”

Poirot paused, cleared his throat, and signed to me to write.

23rd May. M. Renauld quarrels with his son over latter’s wish to marry Marthe Daubreuil. Son leaves for Paris.

24th May. M. Renauld alters his will, leaving entire control of his fortune in his wife’s hands.

7th June. Quarrel with tramp in garden, witnessed by Marthe Daubreuil.

“Letter written to M. Hercule Poirot, imploring assistance.

“Telegram sent to Jack Renauld, bidding him proceed by the Anzora to Buenos Aires.

“Chauffeur, Masters, sent off on a holiday.

“Visit of a lady, that evening. As he is seeing her out, his words are ‘Yes, yes⁠—but for God’s sake go now.⁠ ⁠…’ ”

Poirot paused.

“There, Hastings, take each of those facts one by one, consider them carefully by themselves and in relation to the whole, and see if you do not get new light on the matter.”

I endeavoured conscientiously to do as he had said. After a moment or two, I said rather doubtfully:

“As to the first points, the question seems to be whether we adopt the theory of blackmail, or of an infatuation for this woman.”

“Blackmail, decidedly. You heard what Stonor said as to his character and habits.”

Mrs. Renauld did not confirm his view,” I argued.

“We have already seen that Madame Renauld’s testimony cannot be relied upon in any way. We must trust to Stonor on that point.”

“Still, if Renauld had an affair with a woman called Bella, there seems no inherent improbability in his having another with Madame Daubreuil.”

“None whatever, I grant you, Hastings. But did he?”

“The letter, Poirot. You forget the letter.”

“No, I do not forget. But what makes you think that letter was written to M. Renauld?”

“Why it was found in his pocket and⁠—and⁠—”

“And that is all!” cut in Poirot. “There was no mention of any name to show to whom the letter was addressed. We assumed it was to the dead man because it was in the pocket of his overcoat. Now, mon ami, something about that overcoat struck me as unusual. I measured it, and made the remark that he wore his overcoat very long. That remark should have given you to think.”

“I thought you were just saying it for the sake of saying something,” I confessed.

“Ah, quelle idée! Later you observed me measuring the overcoat of M. Jack Renauld. Eh bien, M. Jack Renauld wears his overcoat very short. Put those two facts together with a third, namely that M. Jack Renauld flung out of the house in a hurry on his departure for Paris, and tell me what you make of it!”

“I see,” I said slowly, as the meaning of Poirot’s remarks bore in upon me. “That letter was written to Jack Renauld⁠—not to his father. He caught up the wrong overcoat in his haste and agitation.”

Poirot nodded.

Précisement! We can return to this point later. For the moment let us content ourselves with accepting the letter as having nothing to do with M. Renauld père, and pass to the next chronological event.”

“May 23rd,” I read, “M. Renauld quarrels with his son over latter’s wish to marry Marthe Daubreuil. Son leaves for Paris. I don’t see anything much to remark upon there, and the altering

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