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you are!"

      "You are very good, and very clever, and very dear," said the Princess, smiling and giving him both her hands.

      He shut a little kiss in each hand before he let them go.

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      "He shut a little kiss in each hand before he let them go."

      "So now, when the tide is low again, I will take you away in my boat," he said.

      "But what about the dragon and the griffin?" asked the Princess.

      "Dear me," said Nigel. "I didn't know about them. I suppose I can kill them?"

      "Don't be a silly boy," said the Princess, pretending to be very grown up, for, though she had been on the island time only knows how many years, she was just eighteen, and she still liked pretending. "You haven't a sword, or a shield, or anything!"

      "Well, don't the beasts ever go to sleep?"

      "Why, yes," said the Princess, "but only once in twenty-four hours, and then the dragon is turned to stone. But the griffin has dreams. The griffin sleeps at teatime every day, but the dragon sleeps every day for five minutes, and every day it is three minutes later than it was the day before."

      "What time does he sleep today?" asked Nigel.

      "At eleven," said the Princess.

      "Ah," said Nigel, "can you do sums?"

      "No," said the Princess sadly. "I was never good at them."

      "Then I must," said Nigel. "I can, but it's slow work, and it makes me very unhappy. It'll take me days and days."

      "Don't begin yet," said the Princess. "You'll have plenty of time to be unhappy when I'm not with you. Tell me all about yourself."

      So he did. And then she told him all about herself.

      "I know I've been here a long time," she said, "but I don't know what Time is. And I am very busy sewing silk flowers on a golden gown for my wedding day. And the griffin does the housework—his wings are so convenient and feathery for sweeping and dusting. And the dragon does the cooking—he's hot inside, so, of course, it's no trouble to him; and though I don't know what Time is I'm sure it's time for my wedding day, because my golden gown only wants one more white daisy on the sleeve, and a lily on the bosom of it, and then it will be ready."

      Just then they heard a dry, rustling clatter on the rocks above them and a snorting sound. "It's the dragon," said the Princess hurriedly. "Good-bye. Be a good boy, and get your sum done." And she ran away and left him to his arithmetic.

      Now, the sum was this: "If the whirlpools stop and the tide goes down once in every twenty-four hours, and they do it five minutes earlier every twenty-four hours, and if the dragon sleeps every day, and he does it three minutes later every day, in how many days and at what time in the day will the tide go down three minutes before the dragon falls asleep?"

      It is quite a simple sum, as you see: You could do it in a minute because you have been to a good school and have taken pains with your lessons; but it was quite otherwise with poor Nigel. He sat down to work out his sum with a piece of chalk on a smooth stone. He tried it by practice and the unitary method, by multiplication, and by rule-of-three-and-three-quarters. He tried it by decimals and by compound interest. He tried it by square root and by cube root. He tried it by addition, simple and otherwise, and he tried it by mixed examples in vulgar fractions. But it was all of no use. Then he tried to do the sum by algebra, by simple and by quadratic equations, by trigonometry, by logarithms, and by conic sections. But it would not do. He got an answer every time, it is true, but it was always a different one, and he could not feel sure which answer was right.

      And just as he was feeling how much more important than anything else it is to be able to do your sums, the Princess came back. And now it was getting dark.

      "Why, you've been seven hours over that sum," she said, "and you haven't done it yet. Look here, this is what is written on the tablet of the statue by the lower gate. It has figures in it. Perhaps it is the answer to the sum."

      She held out to him a big white magnolia leaf. And she had scratched on it with the pin of her pearl brooch, and it had turned brown where she had scratched it, as magnolia leaves will do. Nigel read:

      AFTER NINE DAYS

       T ii. 24.

       D ii. 27 Ans.

       P.S.—And the griffin is artificial. R.

      He clapped his hands softly.

      "Dear Princess," he said, "I know that's the right answer. It says R too, you see. But I'll just prove it." So he hastily worked the sum backward in decimals and equations and conic sections, and all the rules he could think of. And it came right every time.

      "So now we must wait," said he. And they waited.

      And every day the Princess came to see Nigel and brought him food cooked by the dragon, and he lived in his cave, and talked to her when she was there, and thought about her when she was not, and they were both as happy as the longest day in summer. Then at last came The Day. Nigel and the Princess laid their plans.

      image "And every day the Princess came to see Nigel and brought him food."

      "You're sure he won't hurt you, my only treasure?" said Nigel.

      "Quite," said the Princess. "I only wish I were half as sure that he wouldn't hurt you."

      "My Princess," he said tenderly, "two great powers are on our side: the power of Love and the power of Arithmetic. Those two are stronger than anything else in the world."

      So when the tide began to go down, Nigel and the Princess ran out on to the sands, and there, in full sight of the terrace where the dragon kept watch, Nigel took his Princess in his arms and kissed her. The griffin was busy sweeping the stairs of the Lone Tower, but the dragon saw, and he gave a cry of rage—and it was like twenty engines all letting off steam at the top of their voices inside Cannon Street Station.

      And the two lovers stood looking up at the dragon. He was dreadful to look at. His head was white with age—and his beard had grown so long that he caught his claws in it as he walked. His wings were white with the salt that had settled on them from the spray of the sea. His tail was long and thick and jointed and white, and had little legs to it, any number of them—far too many—so that it looked like a very large fat silkworm; and his claws were as long as lessons and as sharp as bayonets.

      "Good-bye, love!" cried Nigel, and ran out across the yellow sand toward the sea. He had one end of a cord tied to his arm.

      The dragon was clambering down the face of the cliff, and next moment he was crawling and writhing and sprawling and wriggling across the beach after Nigel, making great holes in the sand with his heavy feet—and the very end of his tail, where there were no legs, made, as it dragged, a mark in the sand such as you make when you launch a boat; and he breathed fire till the wet sand hissed again, and the water of the little rock pools got quite frightened, and all went off in steam.

      image "He breathed fire till the wet sand hissed again."

      Still Nigel held on and the dragon after him. The Princess could see nothing for the steam, and she stood crying bitterly, but still holding on tight with her right hand to the other end of the cord that Nigel had told her to hold; while with her left she held the ship's chronometer, and looked at it through her tears as he had bidden her look, so as to know when to pull the rope.

      On went Nigel over the sand, and on went the dragon after him. And the tide was low, and sleepy little waves lapped the sand's edge.

      Now at the lip of the water, Nigel paused and looked back, and the dragon made a bound, beginning a scream of rage that was like all the engines of all the railways in England. But it never uttered the second half of that scream,

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