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As we entered the breakfast-saloon, the Professor was saying "--andhe had breakfast by himself, early: so he begged you wouldn't wait forhim, my Lady. This way, my Lady," he added, "this way!" And then, with(as it seemed to me) most superfluous politeness, he flung open thedoor of my compartment, and ushered in "--a young and lovely lady!"I muttered to myself with some bitterness. "And this is, of course,the opening scene of Vol. I. She is the Heroine. And I am one of thosesubordinate characters that only turn up when needed for thedevelopment of her destiny, and whose final appearance is outside thechurch, waiting to greet the Happy Pair!"

"Yes, my Lady, change at Fayfield," were the next words I heard(oh that too obsequious Guard!), "next station but one." And the doorclosed, and the lady settled down into her corner, and the monotonousthrob of the engine (making one feel as if the train were some giganticmonster, whose very circulation we could feel) proclaimed that we wereonce more speeding on our way. "The lady had a perfectly formed nose,"I caught myself saying to myself, "hazel eyes, and lips--" and hereit occurred to me that to see, for myself, what "the lady" was reallylike, would be more satisfactory than much speculation.

I looked round cautiously, and--was entirely disappointed of myhope. The veil, which shrouded her whole face, was too thick for me tosee more than the glitter of bright eyes and the hazy outline of whatmight be a lovely oval face, but might also, unfortunately, be anequally unlovely one. I closed my eyes again, saying to myself"--couldn't have a better chance for an experiment in Telepathy!I'll think out her face, and afterwards test the portrait with theoriginal."

At first, no result at all crowned my efforts, though I 'divided myswift mind,' now hither, now thither, in a way that I felt sure wouldhave made AEneas green with envy: but the dimly-seen oval remained asprovokingly blank as ever--a mere Ellipse, as if in some mathematicaldiagram, without even the Foci that might be made to do duty as a noseand a mouth. Gradually, however, the conviction came upon me that Icould, by a certain concentration of thought, think the veil away,and so get a glimpse of the mysterious face--as to which the twoquestions, "is she pretty?" and "is she plain?", still hung suspended,in my mind, in beautiful equipoise.

Success was partial--and fitful--still there was a result: ever andanon, the veil seemed to vanish, in a sudden flash of light: but,before I could fully realise the face, all was dark again. In each suchglimpse, the face seemed to grow more childish and more innocent:and, when I had at last thought the veil entirely away, it was,unmistakeably, the sweet face of little Sylvie!

"So, either I've been dreaming about Sylvie," I said to myself,"and this is the reality. Or else I've really been with Sylvie,and this is a dream! Is Life itself a dream, I wonder?"

To occupy the time, I got out the letter, which had caused me to takethis sudden railway-journey from my London home down to a strangefishing-town on the North coast, and read it over again:-

"DEAR OLD FRIEND,

"I'm sure it will be as great a pleasure to me, as it can possiblybe to you, to meet once more after so many years: and of course Ishall be ready to give you all the benefit of such medical skill asI have: only, you know, one mustn't violate professional etiquette!And you are already in the hands of a first-rate London doctor,with whom it would be utter affectation for me to pretend to compete. (I make no doubt heis right in saying the heart is affected:all your symptoms point that way.) One thing, at any rate, I havealready done in my doctorial capacity--secured you a bedroom on theground-floor, so that you will not need to ascend the stairs at all.

"I shalt expect you by last train on Friday, in accordance with yourletter: and, till then, I shalt say, in the words of the old song,'Oh for Friday nicht! Friday's lang a-coming!'

"Yours always,

"ARTHUR FORESTER.

"P.S. Do you believe in Fate?"

This Postscript puzzled me sorely. "He is far too sensible a man,"I thought, "to have become a Fatalist. And yet what else can he mean byit?" And, as I folded up the letter and put it away, I inadvertentlyrepeated the words aloud. "Do you believe in Fate?"

The fair 'Incognita' turned her head quickly at the sudden question."No, I don't!" she said with a smile. "Do you?"

"I--I didn't mean to ask the question!" I stammered, a little takenaback at having begun a conversation in so unconventional a fashion.

The lady's smile became a laugh--not a mocking laugh, but the laughof a happy child who is perfectly at her ease. "Didn't you?" she said."Then it was a case of what you Doctors call 'unconscious cerebration'?"

"I am no Doctor," I replied. "Do I look so like one? Or what makes youthink it?"

She pointed to the book I had been reading, which was so lying that itstitle, "Diseases of the Heart," was plainly visible.

"One needn't be a Doctor," I said, "to take an interest in medicalbooks. There's another class of readers, who are yet more deeplyinterested--"

"You mean the Patients?" she interrupted, while a look of tender pitygave new sweetness to her face. "But," with an evident wish to avoid apossibly painful topic, "one needn't be either, to take an interest inbooks of Science. Which contain the greatest amount of Science,do you think, the books, or the minds?"

"Rather a profound question for a lady!" I said to myself, holding,with the conceit so natural to Man, that Woman's intellect isessentially shallow. And I considered a minute before replying."If you mean living minds, I don't think it's possible to decide.There is so much written Science that no living person has ever read:and there is so much thought-out Science that hasn't yet been written.But, if you mean the whole human race, then I think the minds have it:everything, recorded in books, must have once been in some mind,you know."

"Isn't that rather like one of the Rules in Algebra?" my Lady enquired.("Algebra too!" I thought with increasing wonder.) "I mean, if weconsider thoughts as factors, may we not say that the Least CommonMultiple of all the minds contains that of all the books; but not theother way?"

"Certainly we may!" I replied, delighted with the illustration."And what a grand thing it would be," I went on dreamily, thinking aloudrather than talking, "if we could only apply that Rule to books!You know, in finding the Least Common Multiple, we strike out a quantitywherever it occurs, except in the term where it is raised to itshighest power. So we should have to erase every recorded thought,except in the sentence where it is expressed with the greatestintensity."

My Lady laughed merrily. "Some books would be reduced to blank paper,I'm afraid!" she said.

"They would. Most libraries would be terribly diminished in bulk.But just think what they would gain in quality!"

"When will it be done?" she eagerly asked. "If there's any chance of itin my time, I think I'll leave off reading, and wait for it!"

"Well, perhaps in another thousand years or so--"

"Then there's no use waiting!", said my Lady. "Let's sit down.Uggug, my pet, come and sit by me!"

"Anywhere but by me!" growled the Sub-warden. "The little wretch alwaysmanages to upset his coffee!"

I guessed at once (as perhaps the reader will also have guessed, if,like myself, he is very clever at drawing conclusions) that my Lady wasthe Sub-Warden's wife, and that Uggug (a hideous fat boy, about thesame age as Sylvie, with the expression of a prize-pig) was their son.Sylvie and Bruno, with the Lord Chancellor, made up a party of seven.

[Image...A portable plunge-bath]

"And you actually got a plunge-bath every morning?" said the Sub-Warden,seemingly in continuation of a conversation with the Professor."Even at the little roadside-inns?"

"Oh, certainly, certainly!" the Professor replied with a smile on hisjolly face. "Allow me to explain. It is, in fact, a very simple problemin Hydrodynamics. (That means a combination of Water and Strength.)If we take a plunge-bath, and a man of great strength (such as myself)about to plunge into it, we have a perfect example of this science.I am bound to admit," the Professor continued, in a lower tone and withdowncast eyes, "that we need a man of remarkable strength. He must beable to spring from the floor to about twice his own height, graduallyturning over as he rises, so as to come down again head first."

"Why, you need a flea, not a man!" exclaimed the Sub-Warden.

"Pardon me," said the Professor. "This particular kind of bath isnot adapted for a flea. Let us suppose," he continued, folding histable-napkin into a graceful festoon, "that this represents what isperhaps the necessity of this Age--the Active Tourist's PortableBath. You may describe it briefly, if you like," looking at theChancellor, "by the letters A.T.P.B."

The Chancellor, much disconcerted at finding everybody looking at him,could only murmur, in a shy whisper, "Precisely so!"

"One great advantage of this plunge-bath," continued the Professor,"is that it requires only half-a-gallon of water--"

"I don't call it a plunge-bath," His Sub-Excellency remarked,"unless your Active Tourist goes right under!"

"But he does go right under," the old man gently replied. "The A.T.hangs up the P. B. on a nail--thus. He then empties the water-juginto it--places the empty jug below the bag--leaps into theair--descends head-first into the bag--the water rises round him tothe top of the bag--and there you are!" he triumphantly concluded."The A.T. is as much under water as if he'd gone a mile or two downinto the Atlantic!"

"And he's drowned, let us say, in about four minutes--"

"By no means!" the Professor answered with a proud smile. "After abouta minute, he quietly turns a tap at the lower end of the P. B.--allthe water runs back into the jug and there you are again!"

"But how in the world is he to get out of the bag again?"

"That, I take it," said the Professor, "is the most beautiful part ofthe whole invention. All the way up the P.B., inside, are loops for thethumbs; so it's something like going up-stairs, only perhaps lesscomfortable; and, by the time the A. T. has risen out of the bag, allbut his head, he's sure to topple over, one way or the other--the Lawof Gravity secures that. And there he is on the floor again!"

"A little bruised, perhaps?"

"Well, yes, a little bruised; but having had his plunge-bath: that'sthe great thing."

"Wonderful! It's almost beyond belief!" murmured the Sub-Warden.The Professor took it as a compliment, and bowed with a gratified smile.

"Quite beyond belief!" my Lady added--meaning, no doubt, to be morecomplimentary still. The Professor bowed, but he didn't smile thistime. "I can assure you," he said earnestly, "that, provided the bathwas made, I used it every morning. I certainly ordered it--that I amclear about--my only doubt is, whether the man ever finished makingit. It's difficult to remember, after so many years--"

At this moment the door, very slowly and creakingly, began to open,and Sylvie and Bruno jumped up, and ran to meet the well-known footstep.