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The nymph who had mothered this sturdy youth was still as dainty, as charming and beautiful as when she had dared to face Ak with the babe clasped to her breast; nor was her love less great. Ak beheld the two clinging together, seemingly as brother and sister to one another, and again he wore his thoughtful look. Claus Discovers Humanity

But, in the days when he had clung to the girdle of the great Ak and visited the cities of men, his eyes had been quick to note all the manners and customs of the race to which he belonged; so he guessed from the gifts brought by the Fairies that the Master expected him hereafter to live in the fashion of his fellow-creatures.

And thus for a moment they remained, the nymphs filled with surprise and consternation, but the brow of the Master Woodsman gradually clearing as he gazed intently upon the beautiful immortal who had wilfully broken the Law. Then the great Ak, to the wonder of all, laid his hand softly on Necile's flowing locks and kissed her on her fair forehead.

War necessarily followed these steps of invasion. In 1853 the Russians besieged and captured the fort of Ak Mechet, on the Syr, thought by its holders to be impregnable.

Then Ak, in gentle voice, told him the story of his babyhood: how he had been abandoned at the forest's edge and left a prey to wild beasts, and how the loving nymph Necile had rescued him and brought him to manhood under the protection of the immortals. "Yet I am not of them," said Claus, musingly. "You are not of them," returned the Woodsman.

Ak had commanded them to assemble in the Laughing Valley, where Claus, ignorant of the terrible battle that was to be waged on his account, was quietly making his toys. Soon the entire Valley, from hill to hill, was filled with the little immortals. The Master Woodsman stood first, bearing a gleaming ax that shone like burnished silver.

These were Ak, the Master Woodsman of the World, who rules the forests and the orchards and the groves; and Kern, the Master Husbandman of the World, who rules the grain fields and the meadows and the gardens; and Bo, the Master Mariner of the World, who rules the seas and all the craft that float thereon. And all other immortals are more or less subject to these three.

And it is manifest by the last method that this curve is the same that Mr. Des Cartes has given in his Geometry, and which he calls the first of his Ovals. It is only a part of this oval which serves for the refraction, namely, the part DK, ending at K, if AK is the tangent.

Remembering the time when he had journeyed with Ak through all the world, he know children were everywhere, and he longed to make as many as possible happy with his gifts. So he loaded a great sack with all kinds of toys, slung it upon his back that he might carry it more easily, and started off on a longer trip than he had yet undertaken.

For since it together with the line NE is equal to the line CK, which is known, since DE is to AK in the proportion of the refraction, it appears that by deducting EN from CK the remainder will be equal to the curve NC. Similarly the waves that are folded back in reflexion by a concave spherical mirror can be found.