For example, the letter O, which is the first letter of our secret and the starting point of our counting, is retained; the following letter M is removed from the preceding O eighteen places, the count being made to the end of the alphabet and then resumed at the beginning: therefore the letter T, which is marked by the number eighteen, is transposed to the place of M.  Similarly, the next letter N is distant from the preceding M one place: therefore the letter A, which has that number beneath it, must be transposed.  And so we must continue until the hidden from is complete, thus: Otasln eimcn hlpfhxniaei.  In solving the secret O equals O; T is the eighteenth letter, and the eighteenth letter after O is found to be M; A is the first letter, and the first letter after M is N; S is the seventeenth letter, and the seventeenth letter after N is I; and so on.

Secondly, the first letter of the secret being again written without Transposition, we proceed in the manner indicated by the following rule: whatever be the number in the numbered alphabet that each letter of the secret is found to have, the letter standing such number of places removed from the immediately preceding transposed key-letter, is transposed.  For example, the key letter O is retained; the letter M is found in the eleventh place: therefore the letter D, which is in the eleventh place after the key letter O, is to be transposed.  So, the letter N being found in the twelfth place, the letter R, which is in the twelfth place after the transposed letter D, is to be transposed.  And so we must continue, as appears from the following:

Odredq mrnmb aloburecbfu.

If, however, the key be taken from some other source, --if, for instance, the letter A, or any other letter, be made the key, -- then there arises a third process, and the following rule may be observed: whatever the number of places the first letter of the secret stands removed from the key letter, and each following letter of the secret from the immediately preceding, Transpositive key letter, the letter of the tabular alphabet having such number written beneath it must be taken.  For example, let the key be the letter A; first find how many spaces the letter O of the secret is removed from A; the number being found to be twelve, let the letter N, which is the twelfth letter, be transposed.  Then the letter M is distant from the Transpositive letter N nineteen places: therefore the letter V, which is the nineteenth letter, must be transposed.  Similarly, the letter N is distant from the letter V thirteen places, and the letter O must therefore be written; and so on.  The whole text will be written thus: Nuorch hsuxm habglgbracl.  If now you wish to disclose this secret, find N, which is the twelfth letter of the alphabet, and count twelve from the key A, and you will come to O.  V is the nineteenth letter; count, therefore, from N nineteen letters, and you will come to N.  O is the thirteenth letter: count, therefore, from V thirteen letters, and you will come to N; and so on.

There is still another process, which, however, is exactly like the second process, except that here the letter A is again the key, as in the preceding case.  We have, therefore, simply to attend to the application of the rule, thus:  Let the letter A be the key; the first letter of the secret is found in the thirteenth place: therefore let the letter which is found in the thirteenth place after the key letter A,