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"How do you know it?"

"Because I attended his funeral," was the prompt reply. Dick saw a shadow of impatience flash into his visitor's face and instantly pass.

"How did he die?" queried the scientist.

"He was lost from his catboat," Dick answered. "He had gone out sailing, alone, while in a bathing-suit. Several hours after the boat drifted in on the tide without him. Two or three weeks later the body was recovered."

"Ah!" exclaimed The Thinking Machine.

Then, for half an hour or so, he talked, and-as he went on, incisively, pointedly, dramatically, even, at times-Dick Herbert's eyes opened wider and wider. At the end he rose and gripped the scientist's slender white fingers heartily in his own with something approaching awe in his manner. Finally he put on his hat and they went out together.

That evening at eight o'clock Detective Mallory, Hutchinson Hatch, Mr. Randolph, Mr. Meredith, Mr. Greyton, and Dollie Meredith gathered in a parlour of the Greyton home by request of The Thinking Machine. They were waiting for something-no one knew exactly what.

Finally there came a tinkle at the bell and The Thinking Machine entered. Behind him came Dick Herbert, Dr. Clarence Walpole, and a stranger. Mr. Meredith glanced up quickly at Herbert, and Dollie lifted her chin haughtily with a stony stare which admitted of no compromise. Dick pleaded for recognition with his eyes, but it was no use, so he sat down where he could watch her unobserved.

Singular expressions flitted over the countenance of the Supreme Intelligence. Right here, now, he knew the earth was to be jerked out from under him and he was not at all certain that there would be anything left for him to cling to. This first impression was strengthened when The Thinking Machine introduced Doctor Walpole with an ostentatious squint at Mr. Mallory. The detective set his teeth hard.

The Thinking Machine sat down, stretched out his slender legs, turned his eyes upward, and adjusted his fingers precisely, tip to tip. The others watched him anxiously.

"We will have to go back a few years to get the real beginning of the events which have culminated so strangely within the past week," he said. "This was a close friendship of three young men in college. They were Mr. Herbert here, a freshman, and Harry Meredith and George Francis Hayden, juniors. This friendship, not an unusual one in college, was made somewhat romantic by the young men styling themselves The Triangle. They occupied the same apartments and were exclusive to a degree. Of necessity Mr. Herbert was drawn from that exclusiveness, to a certain extent by his participation in football."

A germ of memory was working in Hatch's mind.

"At someone's suggestion three triangular watch charms were made, identical in every way save for initials on the back. They bore a symbol which was meaningless except to The Triangle. They were made to order and are, therefore, the only three of the kind in the world. Mr. Herbert has one now on his watch chain, with his own initials; there is another with the initials 'G. F. H.' in the lot of jewelry Mr. Mallory recovered from Mr. Herbert. The third is worn by Harry Meredith, who is now in Buenos Ayres. The American Consul there has confirmed, by cable, that fact.

"In the senior year the three young men of The Triangle were concerned in the mysterious disappearance of a valuable diamond ring. It was hushed up in college after it seemed established that Mr. Herbert was a thief. Knowing his own innocence and seeing what seemed to be an exclusive opportunity for Harry Meredith to have done what was charged, Mr. Herbert laid the matter to him, having at that time an interview with Harry's father. The result of that interview was more than ever to convince Mr. Meredith of Mr. Herbert's guilt. As a matter of fact, the thief in that case was George Francis Hayden."

There were little murmurs of astonishment, and Mr. Meredith turned and stared at Dick Herbert. Dollie gave him a little glance out of a corner of her eye, smiled, then sat up primly.

"This ended The Triangle," resumed the scientist. "A year or so later Mr. Herbert met Miss Meredith. About two years ago George Francis Hayden was reported drowned from his catboat. This was confirmed, apparently, by the finding of his body, and an insurance company paid over a large sum-I think it was $25,000-to a woman who said she was his wife. But George Francis Hayden was not drowned; he is alive now. It was a carefully planned fraud against the insurance company, and it succeeded.

"This, then, was the situation on last Thursday-the night of the masked ball at Seven Oaks-except that there had grown up a love affair between Miss Meredith and Mr. Herbert. Naturally, the father opposed this because of the incident in college. Both Miss Meredith and Mr. Herbert had invitations to that ball. It was an opportunity for an elopement and they accepted it. Mr. Herbert sent word to her what costume to wear; she did not know the nature of his.

"On Thursday afternoon Miss Meredith sent her jewel-casket, with practically all her jewels, to Mr. Herbert. She wanted them, naturally; they probably planned a trip abroad. The maid in this house took the casket and gave it into Mr. Herbert's own hands. Am I right?" He turned squarely and squinted at Dollie.

"Yes," she gasped quickly. She smiled distractingly upon her father and he made some violent remarks to himself.

"At this point, Fate, in the guise of a masked Burglar, saw fit to step into the affair," the scientist went on after a moment. "About nine-thirty, Thursday evening, while Mr. Herbert was alone, the masked Burglar, George Francis Hayden, entered Mr. Herbert's house, possibly thinking everyone was away. There, still masked, he met Mr. Herbert, who-by something the Burglar said and by the triangular charm he wore-recognised him as Harry Meredith. Remember, he thought he knew George Francis Hayden was dead.

"There were some words and a personal encounter between the two men. George Francis Hayden fired a shot which struck Mr. Herbert in the right shoulder-in front-took the jewel-casket in which Mr. Herbert had placed his card of invitation to the ball, and went away, leaving Mr. Herbert senseless on the floor."

Dollie's face blanched suddenly and she gasped. When she glanced involuntarily at Dick she read the love-light in his eyes, and her colour returned with a rush.

"Several hours later, when Mr. Herbert recovered consciousness," the unruffled voice went on, "he went to Doctor Walpole, the nearest physician, and there the bullet was extracted and the wound dressed. The ball was thirty-two calibre?"

Doctor Walpole nodded.

"And Mr. Cunningham's revolver carried a thirty-eight," added the scientist. "Now we go back to the Burglar. He found the invitation in the casket, and the bold scheme, which later he carried out so perfectly, came to him as an inspiration. He went to the ball just as he was. Nerve, self-possession, and humour took him through. We know the rest of that.

"Naturally, in the circumstances, Mr. Herbert, believing that Harry Meredith was the thief, would say nothing to bring disgrace upon the name of the girl he loved. Instead, he saw Miss Meredith, who would not accept his denial then, and in order to get her first-explanations might come later-he confessed to the theft, whereupon they planned the second elopement.

"When Miss Meredith returned the plate by express there was no anticipation of a second theft. Here is where we get a better understanding of the mettle of the real Burglar-George Francis Hayden. He went back and got the plate from Seven Oaks. Instantly that upset the second elopement plan. Then Mr. Herbert undertook the search, got a clew, followed it, and recovered not only the plate, but a great lot of jewels."

There was a pause. A skyrocket ascended in Hatch's mind and burst, illuminating the whole tangled story. Detective Mallory sat dumbly, thinking harsh words. Mr. Meredith arose, went over to Dick Herbert, and solemnly shook his hand, after which he sat down again. Dollie smiled charmingly.

Chapter VIII.

"Now that is what actually happened," said The Thinking Machine, after a little while. "How do I know it? Logic, logic, logic! The logical mind can start from any given point and go backward or forward, with equal facility, to a natural conclusion. This is as certain as that two and two make four-not sometimes, but all the time.

"First in this case I had Mr. Hatch's detailed examination of each circumstance. By an inspiration he connected Mr. Herbert and Miss Meredith with the affair and talked to both before the police had any knowledge at all of them. In other words, he reached at a bound what they took days to accomplish. After the second theft he came to me and related the story."

The reporter blushed modestly.

"Mr. Hatch's belief that the things that had happened to Mr. Herbert and Miss Meredith bore on the theft," resumed the scientist, "was susceptible of confirmation or refutation in only one way, this being so because of Mr. Herbert's silence-due to his loyalty. I saw that. But, before I went further, I saw clearly what had actually happened if I presupposed that there had been some connection. Thus came to me, I may say here, the almost certain knowledge that Miss Meredith had a brother, although I had never heard of him or her."

He paused a little and twiddled his thumbs thoughtfully.

"Suppose you give us just your line of reasoning," ventured Hatch.

"Well, I began with the blood-stains in the automobile to either bring Mr. Herbert into this affair or shut him out," replied the scientist. "You know how I made the blood tests. They showed conclusively that the blood on the cushion was not Mr. Herbert's. Remember, please, that, although I knew Miss Meredith had been in the automobile, I also knew she was not wounded; therefore the blood was that of someone else-the man.

"Now, I knew Mr. Herbert had been wounded-he wouldn't say how. If at home, would he not go to the nearest physician? Probably. I got Doctor Walpole's name from the telephone-book-he being nearest the Herbert home-and sent Mr. Hatch there, where he learned of the wound in front, and of the thirty-two calibre ball. I already knew the police revolvers were thirty-eight calibre; therefore Mr. Herbert was not wounded while in the automobile.

"That removed Mr. Herbert as a possibility in the first theft, despite the fact that his invitation-card was presented at the door. It was reasonable to suppose that invitation had been stolen. Immediately after the plate was returned by express, Mr. Herbert effected a reconciliation with Miss Meredith. Because of this and for other reasons I could not bring myself to see that he was a party to the second theft, as I knew him to be innocent of the first. Yet, what happened to him? Why wouldn't he say something?

"All things must be imagined before they can be achieved; therefore imagination is one of the most vital parts of the scientific brain. In this instance I could only imagine why Mr. Herbert was silent. Remember, he was shot and wouldn't say who did it. Why? If it had been an ordinary thief-and I got the idea of a thief from the invitation-card being in other hands than his-he would not have hesitated to talk. Therefore, it was an extraordinary thief in that it connected with something near and dear to him. No one was nearer and dearer to him than Miss Meredith. Did she shoot him? No. Did her father shoot him? Probably not, but possibly. A brother? That began to look more reasonable. Mr. Herbert would probably not have gone so far to protect one less near to her than brother or father.

"For the moment I assumed a brother, not knowing. How did Mr. Herbert know this brother? Was it in his college days? Mr. Hatch brought me a list of the students of three years before his graduating year and there I found the name, Harry Meredith. You see, step by step, pure logic was leading me to something tangible, definite. My next act was to see Mr. Meredith and ask for the address of his son-an only son-whom at that time I frankly believed was the real thief. But this son was in South America. That startled me a little and brought me up against the father as a possible thief. He was in Baltimore on that night.

"I accepted that as true at the moment after some-er-some pleasant words with Mr. Meredith. Then the question: Was the man who stole from Mr. Herbert, probably entering his place and shooting him, masked? Mr. Herbert said he was. I framed the question so as to bring Harry Meredith's name into it, much to Mr. Herbert's alarm. How had he recognised him as Harry Meredith? By something he said or wore? Mr. Herbert replied in the affirmative-both. Therefore I had a masked Burglar who could not have been either Harry Meredith or Harry Meredith's father. Who was he?

"I decided to let Mr. Hatch look into that point for me, and went to see Doctor Walpole. He gave me the bullet he had extracted from Mr. Herbert's shoulder. Mr. Hatch, shortly after, rushed in on me with the statement that Miss Meredith had admitted that Mr. Herbert had confessed to her. I could see instantly why he had confessed to her. Then Mr. Hatch undertook for me the investigation of Herbert's and Harry Meredith's careers in college. He remembered part of it and unearthed the affair of The Triangle and the theft of a diamond ring.

"I had asked Mr. Hatch to find for me if Harry Meredith and Mr. Herbert had had a mutual intimate in college. They had: George Francis Hayden, the third member of the Triangle. Then the question seemed to be solved, but Mr. Hatch upset everything when he said that Mr. Hayden was dead. I went immediately to see Mr. Herbert. From him I learned that, although Mr. Hayden was supposed to be dead and buried, there was no positive proof of it; the body recovered had been in the water three weeks and was consequently almost unrecognisable. Therefore, the theft came inevitably to Mr. Hayden. Why? Because the Burglar had been recognised by something he said and wore. It would have been difficult for Mr. Herbert to recognise a masked man so positively unless the masked man wore something he absolutely knew, or said something he absolutely knew. Mr. Herbert thought with reason that the masked man was Harry Meredith, but, with Harry Meredith in South America, the thief was incontrovertibly George Francis Hayden. There was no going behind that.

"After a short interview as to Hayden, during which Mr. Herbert told me more of The Triangle and the three watch charms, he and I went out investigating. He took me to the room where he had found the plate and jewels-a place in an apartment-house which this gentleman manages." The scientist turned to the stranger, who had been a silent listener. "He identified an old photograph of George Francis Hayden as an occupant of an apartment.

"Mr. Herbert and I searched the place. My growing idea, based on the established knavery of George Francis Hayden, that he was the real thief in the college incident, was proven when I found this ring there-the ring that was stolen at that time-with the initials of the owner in it."

The Thinking Machine produced the ring and offered it to Detective Mallory, who had allowed the earth to slip away from him slowly but surely, and he examined it with a new and absorbed interest.

"Mr. Herbert and I learned of the insurance fraud in another manner-that is, when we knew that George Francis Hayden was not dead, we knew there had been a fraud. Mr. Hayden has been known lately as Chester Goodrich. He has been missing since Mr. Herbert, in his absence, recovered the plate and the jewels in his apartments. I may add that, up to the day of the masked ball, he was protected from casual recognition by a full beard. He is now clean-shaven."

The Thinking Machine glanced at Mr. Mallory.

"Your man-Downey, I think it was-did excellent work," he said, "in tracing Miss Meredith from the time she left the automobile until she returned home, and later leading you to Mr. Herbert. It was not strange that you should have been convinced of his guilt when we consider the goods found in his possession and also the wound in his shoulder. The only trouble is he didn't get to the real insides of it."

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