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scientist. "I think probably he has a bullet in him now--the ghost."

Then the figure of the town constable separated itself from the night and approached.

"Who's that?"

"Professor Van Dusen and Mr. Hatch."

"Mr. Weston got him all right," said the constable, and there was satisfaction in his tone. "He tried to come out the back way, but I had that fastened, as you told me, and he came through the front way. Mr. Weston tried to stop him, and he raised the knife to stick him; then Mr. Weston shot. It broke his arm, I think. Mr. Weston is down there with him now."

The Thinking Machine turned to the reporter.

"Wait here for me, with the constable," he directed. "If the man is hurt he needs attention. I happen to be a doctor; I can aid him. Don't come unless I call."

For a long while the constable and the reporter waited. The constable talked, talked with all the bottled-up vigor of days. Hatch listened impatiently; he was eager to go down there where The Thinking Machine and Weston and the phantom were.

After half an hour the light disappeared, then he heard the swift, quick churning of waters, a sound as of a powerful motor-boat manoeuvering, and a long body shot out on the waters.

"All right down there?" Hatch called.

"All right," came the response.

There was again silence, then Ernest Weston and The Thinking Machine came up.

"Where is the other man?" asked Hatch. "The ghost--where is he?" echoed the constable. "He escaped in the motor-boat," replied Mr. Weston, easily.

"Escaped?" exclaimed Hatch and the constable together.

"Yes, escaped," repeated The Thinking Machine, irritably. "Mr. Hatch, let's go to the hotel."

Struggling with a sense of keen disappointment, Hatch followed the other two men silently. The constable walked beside him, also silent. At last they reached the hotel and bade the constable, a sadly puzzled, bewildered and crestfallen man, goodnight.

"By ginger!" he remarked, as he walked away into the dark.

Upstairs the three men sat, Hatch impatiently waiting to hear the story. Weston lighted a cigarette and lounged back; The Thinking Machine sat with finger tips pressed together, studying the ceiling.

"Mr. Weston, you understand, of course, that I came into this thing to aid Mr. Hatch?" he asked.

"Certainly," was the response. "I will only ask a favor of him when you conclude."

The Thinking Machine changed his position slightly, readjusted his thick glasses for a long, comfortable squint, and told the story, from the beginning, as he always told a story. Here it is:

"Mr. Hatch came to me in a state of abject, cringing fear and told me of the mystery. It would be needless to go over his examination of the house, and all that. It is enough to say that he noted and told me of four large mirrors in the dining-room and living-room of the house; that he heard and brought to me the stories in detail of a tragedy in the old house and missing jewels, valued at a hundred thousand dollars, or more.

"He told me of his trip to the house that night, and of actually seeing the phantom. I have found in the past that Mr. Hatch is a cool, level-headed young man, not given to imagining things which are not there, and controls himself well. Therefore I knew that anything of charlatanism must be clever, exceedingly clever, to bring about such a condition of mind in him.

"Mr. Hatch saw, as others had seen, the figure of a phantom in the reception-room near the door of the library, or in the library near the door of the reception-room, he couldn't tell exactly. He knew it was near the door. Preceding the appearance of the figure he heard a slight noise which he attributed to a rat running across the floor. Yet the house had not been occupied for five years. Rodents rarely remain in a house--I may say never--for that long if it is uninhabited. Therefore what was this noise? A noise made by the apparition itself? How?

"Now, there is only one white light of the kind Mr. Hatch described known to science. It seems almost superfluous to name it. It is phosphorus, compounded with Fuller's earth and glycerine and one or two other chemicals, so it will not instantly flame as it does in the pure state when exposed to air. Phosphorus has a very pronounced odor if one is within, say, twenty feet of it. Did Mr. Hatch smell anything? No.

"Now, here we have several facts, these being that the apparition in appearing made a slight noise; that phosphorus was the luminous quality; that Mr. Hatch did not smell phosphorus even when he ran through the spot where the phantom had appeared. Two and two make four; Mr. Hatch saw phosphorus, passed through the spot where he had seen it, but did not smell it, therefore it was not there. It was a reflection he saw--a reflection of phosphorus. So far, so good.

"Mr. Hatch saw a finger lifted and write a luminous word in the air. Again he did not actually see this; he saw a reflection of it. This first impression of mine was substantiated by the fact that when he rushed for the phantom a part of it disappeared, first half of it, he said--then the other half. So his extended hands grasped only air.

"Obviously those reflections had been made on something, probably a mirror as the most perfect ordinary reflecting surface. Yet he actually passed through the spot where he had seen the apparition and had not struck a mirror. He found himself in another room, the library, having gone through a door which, that afternoon, he had himself closed. He did not open it then.

"Instantly a sliding mirror suggested itself to me to fit all these conditions. He saw the apparition in the door, then saw only half of it, then all of it disappeared. He passed through the spot where it had been. All of this would have happened easily if a large mirror, working as a sliding door, and hidden in the wall, were there. Is it clear?"

"Perfectly," said Mr. Weston.

"Yes," said Hatch, eagerly. "Go on."

"This sliding mirror, too, might have made the noise which Mr. Hatch imagined was a rat. Mr. Hatch had previously told me of four large mirrors in the living- and dining-rooms. With these, from the position in which he said they were, I readily saw how the reflection could have been made.

"In a general sort of way, in my own mind, I had accounted for the phantom. Why was it there? This seemed a more difficult problem. It was possible that it had been put there for amusement, but I did not wholly accept this. Why? Partly because no one had ever heard of it until the Italian workmen went there. Why did it appear just at the moment they went to begin the work Mr. Weston had ordered? Was it the purpose to keep the workmen away?

"These questions arose in my mind in order. Then, as Mr. Hatch had told me of a tragedy in the house and hidden jewels, I asked him to learn more of these. I called his attention to the fact that it would be a queer circumstance if these jewels were still somewhere in the old house. Suppose some one who knew of their existence were searching for them, believed he could find them, and wanted something which would effectually drive away any inquiring persons, tramps or villagers, who might appear there at night. A ghost? Perhaps.

"Suppose some one wanted to give the old house such a reputation that Mr. Weston would not care to undertake the work of repair and refurnishing. A ghost? Again perhaps. In a shallow mind this ghost might have been interpreted even as an effort to prevent the marriage of Miss Everard and Mr. Weston. Therefore Mr. Hatch was instructed to get all the facts possible about you, Mr. Weston, and members of your family. I reasoned that members of your own family would be more likely to know of the lost jewels than anyone else after a lapse of fifty years.

"Well, what Mr. Hatch learned from you and your cousin, George Weston, instantly, in my mind, established a motive for the ghost. It was, as I had supposed possible, an effort to drive workmen away, perhaps only for a time, while a search was made for the jewels. The old tragedy in the house was a good pretext to hang a ghost on. A clever mind conceived it and a clever mind put it into operation.

"Now, what one person knew most about the jewels? Your cousin George, Mr. Weston. Had he recently acquired any new information as to these jewels? I didn't know. I thought it possible. Why? On his own statement that his mother, then a bride, got the story of the entire affair direct from his grandmother, who remembered more of it than anybody else--who might even have heard his grandfather say where he intended hiding the jewels."

The Thinking Machine paused for a little while, shifted his position, then went on:

"George Weston refused to go with you, Mr. Weston, and Mr. Hatch, to the ghost party, as you called it, because he said he was going to a ball in Providence that night. He did not go to Providence; I learned that from your correspondent there, Mr. Hatch; so George Weston might, possibly, have gone to the ghost party after all.

"After I looked over the situation down there it occurred to me that the most feasible way for a person, who wished to avoid being seen in the village, as the perpetrator of the ghost did, was to go to and from the place at night in a motor-boat. He could easily run in the dark and land at the foot of the cliff, and no soul in the village would be any the wiser. Did George Weston have a motor-boat? Yes, an electric, which runs almost silently.

"From this point the entire matter was comparatively simple. I _knew_--the pure logic of it told me--how the ghost was made to appear and disappear; one look at the house inside convinced me beyond all doubt. I knew the motive for the ghost--a search for the jewels. I knew, or thought I knew, the name of the man who was seeking the jewels; the man who had fullest knowledge and fullest opportunity, the man whose brain was clever enough to devise the scheme. Then, the next step to prove what I knew. The first thing to do was to find the jewels."

"Find the jewels?" Weston repeated, with a slight smile.

"Here they are," said The Thinking Machine, quietly.

And there, before the astonished eyes of the broker, he drew out the gems which had been lost for fifty years. Mr. Weston was not amazed; he was petrified with astonishment and sat staring at the glittering heap in silence. Finally he recovered his voice.

"How did you do it?" he demanded. "Where?"

"I used my brain, that's all," was the reply. "I went into the old house seeking them where the owner, under all conditions, would have been most likely to hide them, and there I found them."

"But--but----" stammered the broker.

"The man who hid these jewels hid them only temporarily, or at least that was his purpose," said The Thinking Machine, irritably. "Naturally he would not hide them in the woodwork of the house, because that might burn; he did not bury them in the cellar, because that has been carefully searched. Now, in that house there is nothing except woodwork and chimneys above the cellar. Yet he hid them in the house, proven by the fact that the man he killed was killed in the house, and that the outside ground, covered with snow, showed two sets of tracks into the house and none out. Therefore he did hide them in the cellar. Where? In the stonework. There was no other place.

"Naturally he would not hide them on a level with the eye, because the

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