"What do you mean? What do you mean?"

"I mean," continued Rénine, in a clear voice, sounding each syllable separately, "I mean that you see before your eyes three Christian names which all three begin with the same initial and which all three, by a remarkable coincidence, consist of the same number of letters, as you may prove. If you enquire at the Courbevoie laundry, where Mlle. Covereau used to work, you will find that her name was Hilairie. Here again we have the same initial and the same number of letters. There is no need to seek any farther. We are sure, are we not, that the Christian names of all the victims offer the same peculiarities? And this gives us, with absolute certainty, the key to the problem which was set us. It explains the madwoman's choice. We now know the connection between the unfortunate victims. There can be no mistake about it. It's that and nothing else. And how this method of choosing confirms my theory! What proof of madness! Why kill these women rather than any others? Because their names begin with an H and consist of eight letters! You understand me, M. de Lourtier, do you not? The number of letters is eight. The initial letter is the eighth letter of the alphabet; and the word huit, eight, begins with an H. Always the letter H. And the implement used to commit the crime was a hatchet. Is your excellency prepared to tell me that the lady with the hatchet is not a madwoman?"

Rénine interrupted himself and went up to M. de Lourtier-Vaneau:

"What's the matter, your excellency? Are you unwell?"

"No, no," said M. de Lourtier, with the perspiration streaming down his forehead. "No ... but all this story is so upsetting! Only think, I knew one of the victims! And then...."

Rénine took a water-bottle and tumbler from a small table, filled the glass and handed it to M. de Lourtier, who sipped a few mouthfuls from it and then, pulling himself together, continued, in a voice which he strove to make firmer than it had been:

"Very well. We'll admit your supposition. Even so, it is necessary that it should lead to tangible results. What have you done?"

"This morning I published in all the newspapers an advertisement worded as follows: 'Excellent cook seeks situation. Write before 5 P.M. to Herminie, Boulevard Haussmann, etc.' You continue to follow me, don't you, M. de Lourtier? Christian names beginning with an H and consisting of eight letters are extremely rare and are all rather out of date: Herminie, Hilairie, Hermione. Well, these Christian names, for reasons which I do not understand, are essential to the madwoman. She cannot do without them. To find women bearing one of these Christian names and for this purpose only she summons up all her remaining powers of reason, discernment, reflection and intelligence. She hunts about. She asks questions. She lies in wait. She reads newspapers which she hardly understands, but in which certain details, certain capital letters catch her eye. And consequently I did not doubt for a second that this name of Herminie, printed in large type, would attract her attention and that she would be caught to-day in the trap of my advertisement."

"Did she write?" asked M. de Lourtier-Vaneau, anxiously.

"Several ladies," Rénine continued, "wrote the letters which are usual in such cases, to offer a home to the so-called Herminie. But I received an express letter which struck me as interesting."