"Having once arrived at the conclusion that some book had been used as the basis of the cryptogram, my next supposition that each group of three sets of numbers showed the page of the book, the number of the line from the top, and the position of the required word in that line, seemed at once borne out by an analysis of the figures themselves. Thus, taking the first set of figures in each group, I found that in no case did they run to a higher number than 500 which would seem to indicate that the basis-book was limited to that number of pages. The second set of figures ran to no higher number than 60, which would seem to limit the lines on each page to that number. The third set of figures in no case yielded a higher number than 12; which numerals, according to my theory, would indicate the maximum number of words in each line. Thus you have at once (if such information is of any use to you) a sort of a key to the size of the required volume. "I think I have now written enough, my dear Ducie, to afford you some idea of the method by means of which my conclusions have been arrived at. If you wish for further details I will supply them--but by word of mouth, and it be all the same to your honour; for this child detests letter-writing, and has taken a vow that if he reach the end of his present pen-and-ink venture in safety, he will never in time to come devote more than two pages of cream note to even the most exacting of friends: the sequitur of which is, that if you want to know more than is here set down you must give the writer a call, when you shall be talked to to your heart's content. "Your exhausted friend, "Geo. Bexell. "Captain Ducie." Captain Ducie had too great a respect for the knowledge of his friend Bexell in matters like the one under review, to dream for one moment of testing the validity of any of his conclusions. He accepted the whole of them as final. Having got the conclusions themselves, he cared nothing as to the processes by which they had been deduced: the details interested him not at all. Consequently he kept out of the way of his friend, being in truth considerably disgusted to find that, so far as he was himself concerned, the affair had ended in a fiasco. He could not look upon it in any other light. It was utterly out of the range of probability that he should ever succeed in ascertaining on what particular book the cryptogram was based, and no other knowledge was now of the slightest avail. He was half inclined to send back the MS. anonymously to Platzoff, as being of no further use to himself; but he was restrained by the thought that there was just a faint chance that the much-desired volume might turn up during his forthcoming visit to Bon Repos--that even at the eleventh hour the key might be found.