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has passed out of the region of hypothesis into that of demonstrative proof."

      "And are we to understand," asked Jervis, "that you have brought Maddock's case to the stage of complete demonstration?"

      "No," answered Thorndyke. "I am still in the stage of hypothesis; and when O'Donnell came here to-night there were two points which I had been unable to verify. But with his aid I have been able to verify them both, and I now have a complete hypothesis of the case which has been tested exhaustively and has answered to every test. All that remains to be done is to apply the touchstone of the final experiment."

      "I suppose," said Jervis," you have obtained a good many new facts in the course of your investigations?"

      "Not a great many," replied Thorndyke; "and what new data I have obtained, I have, for the most part, communicated to you and Jardine. I assure you, Jervis, that if you would only concentrate your attention on the case, you have ample material for a most convincing and complete elucidation of it."

      Jervis looked at me with a wry smile. "Now Jardine-Howard." said he; "why don't you brush up your wits and tell us exactly what happened to the late Mr. Maddock and why some person unknown is so keen on your vile body. You have all the facts, you know."

      "So you tell me," I retorted; "but this case of yours reminds me of those elaborate picture puzzles that used to weary my juvenile brain. You had a hatful of irregular-shaped pieces which, if you fitted them together, made a picture. Only the beggars wouldn't fit together."

      "A very apt comparison," said Thorndyke. "You put the pieces together, and, if they made no intelligible part of a picture, you knew you were wrong, no matter how well they seemed to fit. On the other hand, if they seemed to make parts of a picture you had to verify the result by finding pieces of the exact shape and size of the empty spaces. That is what I have been doing in this case; trying the data together and watching to see if they made the expected picture. As I have told you, O'Donnell's visit found me with the picture entire save for two empty spaces of a particular shape and size; and from him I obtained two pieces that dropped neatly into those spaces and made the picture complete. All I have to do now is to see if the picture is a true representation or only a consistent work of imagination."

      "I take it that you have worked the case out in pretty full detail," said Jervis.

      "Yes. If the final verification is successful I shall be able to tell you exactly what happened in Maddock's house, what was the cause of death—and I may say that it was not that given in the certificates—who the person is who has been pursuing Jardine and what is his motive, together with a number of other very curious items of information. And the mention of that person reminds me that our friend has been disporting himself in public, contrary to advice and to what I thought was a definite understanding."

      "But surely," I said, "it doesn't matter now. We have given that spy chappie the slip, and, even if he hasn't given up the chase as hopeless, we know that he is quite harmless."

      "Harmless!" exclaimed Thorndyke. "Why, my dear fellow, he was your guardian angel. Didn't you realize that from Father Humperdinck's statement? He shadowed you so closely that no attack on you was possible; in fact, he actually caught a rap on the head that was apparently meant for you. You were infinitely safer with him at your heels than alone."

      "But we've given the other fellow the slip, too," I urged.

      "We mustn't take that for granted," said Thorndyke. "The French detective, you remember, came on the scene quite recently, whereas the other man has been with us from the beginning. He probably saw Jervis and me enter the mineral water works on the night of the fire, for he was certainly there; and he may even have followed us home to ascertain who we were. There are several ways in which he could have connected you with us and traced you here; so I must urge you most strongly not to venture out of the precincts of the Temple for the next few days, in fact, it would be much wiser to keep indoors altogether. It will be only a matter of days unless I get a quite unexpected set back, for I hope to have the case finally completed in less than a week; and when I do, I shall take such action as will give your friend some occupation other than shadowing you."

      "Very well," I said. "I will promise not to attempt again to escape from custody. But, all the same, my little jaunt to-day has not been entirely without result. I have picked up a new fact, and a rather curious one, I think. What should you say if I suggested that Mrs. Samway was the wife of that eccentric artist who used to paint on the Heath? The man, I mean, who always worked in gloves?"

      "I have assumed that she was in some such relation to him," replied Thorndyke, "but I should like to hear the evidence."

      "Mrs. Samway," Jervis said in a reflective tone; "isn't that the handsome uncanny-looking lady with the mongoose eyes, who reminded me of Lucrezia Borgia?"

      "That is the lady. Well, I met with a portrait of her to-day which was evidently the work of the man with the gloves," and here I gave them a description of the portrait and an account of the odd way in which it had been disinterred from the landscape that had been painted over it, to which they both listened with close attention.

      "It's a queer incident," said Thorndyke, "and quite dramatic. If one were inclined to be superstitious one might imagine some invisible agency uncovering the tracks that have been so carefully hidden and working unseen in the interests of justice. But haven't you rather jumped to your conclusion? The existence of the portrait establishes a connection, but not necessarily that of husband and wife."

      "I only suggested the relationship; but it seemed a likely one as the portrait had been painted over and thrown into the rubbish box."

      Jervis laughed sardonically; and even Thorndyke's impassive face relaxed into a smile. "Our young friend," said the former, " doesn't take as favourable a view of the married state as one might expect from a gay Lothario who breaks out of his cage to go a-philandering. But we'll overlook that, in consideration of the very interesting information that he has brought back with him. Not that it conveys very much to me. It is obviously a new piece to fit into our puzzle, but I'm hanged if I see, at the moment, any suitable space to drop it into."

      "I think," said Thorndyke, "that if you consider the picture as a whole, you will soon find a vacant space. And while you are considering it, I will just send off a letter, and then we had better adjourn this discussion. We have to catch the early train to Maidstone to-morrow, and that, I hope, will be the last time. Our case ought to be disposed of by the afternoon."

      He seated himself at the writing-table and wrote his letter, while Jervis stared into the fire with a cogitative frown. When the letter was sealed and addressed, Thorndyke laid it on the table while he went to the lobby to put on his hat and coat, and, glancing at it almost unconsciously, I noted that the envelope was of foolscap size and was addressed to the Home Office, Whitehall. The name of the addressee escaped me, for, suddenly realizing the impropriety of thus inspecting another man's letter, I looked away hastily; but even then when Thorndyke had taken it away to the post, I found myself speculating vaguely on the nature of the communication and wondering if it had any relation to the mysterious and intricate case of Septimus Maddock.

      XIX. Tenebrae

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      The resigned composure with which I accepted Thorndyke's sentence of confinement within doors was not entirely attributable to discretion or native virtue. My resolution to follow scrupulously my principal's very pointed advice was somewhat like the ascetic resolutions formed by the gourmet as he rises replete from the banquet table; for, just as the latter is in a peculiarly favourable condition for the unmoved contemplation of a—temporary—abstinence from food, so I, having enjoyed my little dissipation, could now contemplate with fortitude a brief period of retirement. Moreover, the weather was in my favour, being—as Polton reported, when he returned, blue-nosed and powdered with snow, with a fresh supply of tobacco for me—bitterly cold, with a threatening of smoky fog from the east.

      Under these circumstances it was no great hardship to sit in a roomy armchair with my slippered feet on the kerb

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