The valet, who did not know me, shewed me into a delightful boudoir near a closet in which there was a bath.  The duchess came in; she looked sad, for she had several small pimples on the forehead and the chin.  She held in her hand a question for the oracle, and as it was only a short one I thought it would give her the pleasure of finding the answer by herself.  The numbers translated by the princess reproached her with having transgressed the regimen prescribed; she confessed to having drunk some liquors and eaten some ham; but she was astounded at having found that answer herself, and she could not understand how such an answer could result from an agglomeration of numbers.  At that moment, one of her women came in to whisper a few words to her; she told her to wait outside, and turning towards me, she said,

“Have you any objection to seeing one of your friends who is as delicate as discreet?”

With these words, she hastily concealed in her pocket all the papers which did not relate to her disease; then she called out.

A man entered the room, whom I took for a stableboy; it was M. de Melfort.

“See,” said the princess to him, “M.  Casanova has taught me the cabalistic science.”

And she shewed him the answer she had obtained herself.  The count could not believe it.

“Well,” said the duchess to me, “we must convince him.  What shall I ask?”

“Anything your highness chooses.”

She considered for one instant, and, drawing from her pocket a small ivory box, she wrote, “Tell me why this pomatum has no longer any effect”

She formed the pyramid, the columns, and the key, as I had taught her, and as she was ready to get the answer, I told her how to make the additions and subtractions which seem to come from the numbers, but which in reality are only arbitrary; then I told her to interpret the numbers in letters, and I left the room under some pretext.  I came back when I thought that she had completed her translation, and I found her wrapped in amazement.

“Ah, sir!” she exclaimed, “what an answer!”

“Perhaps it is not the right one; but that will sometimes happen, madam.”

“Not the right one, sir?  It is divine!  Here it is:  That pomatum has no effect upon the skin of a woman who has been a mother.”

“I do not see anything extraordinary in that answer, madam.”

“Very likely, sir, but it is because you do not know that the pomatum in question was given to me five years ago by the Abbe de Brosses; it cured me at that time, but it was ten months before the birth of the Duke de Montpensier.  I would give anything in the world to be thoroughly acquainted with that sublime cabalistic science.”

“What!” said the count, “is it the pomatum the history of which I know?”

“Precisely.”

“It is astonishing.”

“I wish to ask one more question concerning a woman the name of whom I would rather not give.”