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The Peridineae of the warmer ocean layers have thus become long-rayed, those of the colder layers short-rayed, not through the direct effect of friction on the protoplasm, but through processes of selection, which favoured the longer rays in warm water, since they kept the organism afloat, while those with short rays sank and were eliminated. If we put the question as to selection-value in this case, and ask how great the variations in the length of processes must be in order to possess selection-value; what can we answer except that these variations must have been minimal, and yet sufficient to prevent too rapid sinking and consequent elimination? Yet this very case would give the ideal opportunity for a mathematical calculation of the minimal selection-value, although of course it is not feasible from lack of data to carry out the actual calculation. But even in organisms of more than microscopic size there must frequently be minute, even microscopic differences which set going the process of selection, and regulate its progress to the highest possible perfection.

The loss at the Allia had been so great that enough men were not left to guard the walls of the city. It was therefore resolved that those in the vigor of their age should withdraw to the Capitol, taking with them all the provisions in the city; that the priests and Vestal Virgins should convey the objects of religious reverence to Caere; and that the rest of the population should disperse among the neighboring towns. But the aged senators, who had been Consuls or Censors, seeing that their lives were no longer of any service to the state, sat down in the forum on their curule thrones awaiting death. When the Gauls entered the city they found it desolate and deathlike. They marched on, without seeing a human being till they came to the forum. Here they beheld the aged senators sitting immovable, like beings of another world. For some time they gazed in awe at this strange sight, till at length one of the Gauls ventured to go up to M. Papirius and stroke his white beard. The old man struck him on the head with his ivory sceptre; whereupon the barbarian slew him, and all the rest were massacred. The Gauls now began plundering the city; fires broke out in several quarters; and with the exception of a few houses on the Palatine, which the chiefs kept for their own residence, the whole city was burnt to the ground.

For example, a very extraordinary story is told of one of these Saxon princesses. A certain king upon the Continent, whose dominions lay between the Rhine and the German Ocean, had proposed for her hand in behalf of his son, whose name was Radiger. The consent of the princess was given, and the contract closed. The king himself soon afterward died, but before he died he changed his mind in respect to the marriage of his son. It seems that he had himself married a second wife, the daughter of a king of the Franks, a powerful continental people; and as, in consequence of his own approaching death, his son would come unexpectedly into possession of the throne, and would need immediately all the support which a powerful alliance could give him, he recommended to him to give up the Saxon princess, and connect himself, instead, with the Franks, as he himself had done. The prince entered into these views; his father died, and he immediately afterward married his father's youthful widow--his own step-mother--a union which, however monstrous it would be regarded in our day, seems not to have been considered any thing very extraordinary then.

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