"I could understand her going without a birthday till she was four years old," the soldier suggested, "if she was born on the 29th of February."

"That accounts for four years," the mathematician admitted, "since my grandmother _was_ born on the 29th of February."

"In what year?" the soldier pursued. "In 1796?"

The professor of mathematics nodded.

"Then that accounts for eight years," said the soldier.

"I don't see that at all," exclaimed the artist.

"It's easy enough," the soldier explained. "The year 1800 isn't a leap-year, you know. We have a leap-year every four years, except the final year of a century--1700, 1800, 1900."

"I didn't know that," said the artist.

"I'd forgotten it," remarked the journalist. "But that gets us over only half of the difficulty. He says his grandmother didn't have a birthday till she was sixteen. We can all see now how it was she went without this annual luxury for the first eight years. But who robbed her of the birthdays she was ent.i.tled to when she was eight and twelve.

That's what I want to know."

"Born February 29, 1796, the Gregorian calendar deprives her of a birthday in 1800," the soldier said. "But she ought to have had her first chance February 29, 1804. I don't see how----" and he paused in doubt. "Oh!" he cried, suddenly; "where was she living in 1804?"

"Most of the time in Russia," the mathematician answered. "Although the family went to England for a few days early in the year."

"What was the date when they left Russia?" asked the soldier, eagerly.

"They sailed from St. Petersburg in a Russian bark on the 10th of February," answered the professor of mathematics, "and owing to head-winds they did not reach England for a fortnight."

"Exactly," cried the soldier. "That's what I thought. That accounts for it."

"I don't see how," the artist declared; "that is, unless you mean to suggest that the Czar confiscated the little American girl's birthday and sent it to Siberia."

"It's plain enough," the soldier returned. "We have the reformed calendar, the Gregorian calendar, you know, and the Russians haven't.

They keep the old Julian calendar, and it's now ten days behind ours.

They celebrate Christmas three days after we have begun the new year.

So if the little girl left St. Petersburg in a Russian ship on February 10, 1804, by the old reckoning, and was on the water two weeks, she would land in England after March 1st by the new calendar."

"That is to say," the artist inquired, "the little girl came into an English port thinking she was going to have her birthday the next week, and when she set foot on sh.o.r.e she found out that her birthday was pa.s.sed the week before. Is that what you mean?"

"Yes," answered the soldier; and the mathematician nodded also.

"Then all I have to say," the artist continued, "is that it was a mean trick to play on a child that had been looking forward to her first birthday for eight years--to knock her into the middle of next week in that fashion!"

"And she had to go four years more for her next chance," said the journalist. "Then she would be twelve. But you said she hadn't a birthday till she was sixteen. How did she lose the one she was ent.i.tled to in 1808? She wasn't on a Russian ship again, was she?"

"No," the mathematician replied; "she was on an American ship that time."

"On the North Sea?" asked the artist.

"No," was the calm answer; "on the Pacific."

"Sailing east or west?" cried the soldier.

"Sailing east," answered the professor of mathematics, smiling again.

"Then I see how it might happen," the soldier declared.

"Well, I don't," confessed the artist.

The journalist said nothing, as it seemed unprofessional to admit ignorance of anything.

"It is simple enough," the soldier explained. "You see, the world is revolving about the sun steadily, and it is always high noon somewhere on the globe. The day rolls round unceasing, and it is not cut off into twenty-four hours. We happen to have taken the day of Greenwich or Paris as the day of civilization, and we say that it begins earlier in China and later in California; but it is all the same day, we say.

Therefore there has to be some place out in the middle of the Pacific Ocean where we lose or gain a day--if we are going east, we gain it; if we are going west, we lose it. Now I suppose this little girl of twelve was on her way from some Asiatic port to some American port, and they stopped on their voyage at Honolulu. Perhaps they dropped anchor there just before midnight on their February 28, 1808, thinking that the morrow would be the 29th; but when they were hailed from the sh.o.r.e, just after midnight, they found out that it was already March 1st."

As the soldier finished, he looked at the mathematician for confirmation of his explanation.

Thus appealed to, the professor of mathematics smiled and nodded, and said: "You have hit it. That's just how it was that my grandmother lost the birthday she ought to have had when she was twelve, and had to go four years more without one."

"And so she really didn't have a birthday till she was sixteen!" the artist observed. "Well, all I can say is, your great-grandfather took too many chances. I don't think he gave the child a fair show. I hope he made it up to her when she was sixteen--that's all!"

An hour later The Quartet separated. The soldier and the artist walked away together, but the journalist delayed the mathematician.

"I say," he began, "that yarn about your grandmother was very interesting. It is an extraordinary combination of coincidences. I can see it in the Sunday paper with a scare-head--

'SIXTEEN YEARS WITHOUT A BIRTHDAY!'

Do you mind my using it?"

"But it isn't true," said the professor.

"Not true?" echoed the journalist.

"No," replied the mathematician. "I made it up. I hadn't done my share of the talking, and I didn't want you to think I had nothing to say for myself."

"Not a single word of truth in it?" the journalist returned.

"Not a single word," was the mathematician's answer.

"Well, what of that?" the journalist declared. "I don't want to file it in an affidavit--I want to print it in a newspaper."

(1894.)

THE TWINKLING OF AN EYE

I

The telegraph messenger looked again at the address on the envelope in his hand, and then scanned the house before which he was standing. It was an old-fashioned building of brick, two stories high, with an attic above; and it stood in an old-fashioned part of lower New York, not far from the East River. Over the wide archway there was a small weather-worn sign, "Ramapo Steel and Iron Works;" and over the smaller door alongside was a still smaller sign, "Whittier, Wheatcroft & Co."