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HISTORY OF THE WARS--

INDEX 461

PROCOPIUS OF CAESAREA

HISTORY OF THE WARS.

THE VANDALIC WAR

Such, then, was the final outcome of the Persian War for the Emperor Justinian; and I shall now proceed to set forth all that he did against the Vandals and the Moors. But first shall be told whence came the host of the Vandals when they descended upon the land of the Romans. After Theodosius, the Roman Emperor, had departed from the world, having proved himself one of the most just of men and an able warrior, his kingdom was taken over by his two sons, Arcadius, the elder, receiving the Eastern portion, and Honorius, the younger, the Western. But the Roman power had been thus divided as far back as the time of Constantine and his sons; for he transferred his government to Byzantium, and making the city larger and much more renowned, allowed it to be named after him.

Now the earth is surrounded by a circle of ocean, either entirely or for the most part ; and it is split into two continents by a sort of outflow from the ocean, a flow which enters at the western part and forms this Sea which we know, beginning at Gadira and extending all the way to the Maeotic Lake. Of these two continents the one to the right, as one sails into the Sea, as far as the Lake, has received the name of Asia, beginning at Gadira and at the southern of the two Pillars of Heracles. Septem is the name given by the natives to the fort at that point, since seven hills appear there; for "septem" has the force of "seven" in the Latin tongue. And the whole continent opposite this was named Europe. And the strait at that point separates the two continents by about eighty-four stades, but from there on they are kept apart by wide expanses of sea as far as the Hellespont. For at this point they again approach each other at Sestus and Abydus, and once more at Byzantium and Chalcedon as far as the rocks called in ancient times the "Dark Blue Rocks," where even now is the place called Hieron. For at these places the continents are separated from one another by a distance of only ten stades and even less than that.

Now the distance from one of the Pillars of Heracles to the other, if one goes along the shore and does not pass around the Ionian Gulf and the sea called the Euxine but crosses from Chalcedon to Byzantium and from Dryous to the opposite mainland, is a journey of two hundred and eighty-five days for an unencumbered traveller. For as to the land about the Euxine Sea, which extends from Byzantium to the Lake, it would be impossible to tell everything with precision, since the barbarians beyond the Ister River, which they also call the Danube, make the shore of that sea quite impossible for the Romans to traverse--except, indeed, that from Byzantium to the mouth of the Ister is a journey of twenty-two days, which should be added to the measure of Europe by one making the computation. And on the Asiatic side, that is from Chalcedon to the Phasis River, which, flowing from the country of the Colchians, descends into the Pontus, the journey is accomplished in forty days. So that the whole Roman domain, according to the distance along the sea at least, attains the measure of a three hundred and forty-seven days' journey, if, as has been said, one ferries over the Ionian Gulf, which extends about eight hundred stades from Dryous. For the passage across the gulf amounts to a journey of not less than four days. Such, then, was the size of the Roman empire in the ancient times.

And there fell to him who held the power in the West the most of Libya, extending ninety days' journey--for such is the distance from Gadira to the boundaries of Tripolis in Libya; and in Europe he received as his portion territory extending seventy-five days' journey--for such is the distance from the northern of the Pillars of Heracles to the Ionian Gulf. And one might add also the distance around the gulf. And the emperor of the East received territory extending one hundred and twenty days' journey, from the boundaries of Cyrene in Libya as far as Epidamnus, which lies on the Ionian Gulf and is called at the present time Dyrrachium, as well as that portion of the country about the Euxine Sea which, as previously stated, is subject to the Romans. Now one day's journey extends two hundred and ten stades, or as far as from Athens to Megara. Thus, then, the Roman emperors divided either continent between them. And among the islands Britain, which is outside the Pillars of Heracles and by far the largest of all islands, was counted, as is natural, with the West; and inside the Pillars, Ebusa, which lies in the Mediterranean in what we may call the Propontis, just inside the opening where the ocean enters, about seven days' journey from the opening, and two others near it, Majorica and Minorica, as they are called by the natives, were also assigned to the Western empire. And each of the islands in the Sea itself fell to the share of that one of the two emperors within whose boundaries it happened to lie.

Now while Honorius was holding the imperial power in the West, barbarians took possession of his land; and I shall tell who they were and in what manner they did so. There were many Gothic nations in earlier times, just as also at the present, but the greatest and most important of all are the Goths, Vandals, Visigoths, and Gepaedes. In ancient times, however, they were named Sauromatae and Melanchlaeni; and there were some too who called these nations Getic. All these, while they are distinguished from one another by their names, as has been said, do not differ in anything else at all. For they all have white bodies and fair hair, and are tall and handsome to look upon, and they use the same laws and practise a common religion. For they are all of the Arian faith, and have one language called Gothic; and, as it seems to me, they all came originally from one tribe, and were distinguished later by the names of those who led each group. This people used to dwell above the Ister River from of old. Later on the Gepaedes got possession of the country about Singidunum and Sirmium, on both sides of the Ister River, where they have remained settled even down to my time.

But the Visigoths, separating from the others, removed from there and at first entered into an alliance with the Emperor Arcadius, but at a later time , under the leadership of Alaric, they became hostile to both emperors, and, beginning with Thrace, treated all Europe as an enemy's land. Now the Emperor Honorius had before this time been sitting in Rome, with never a thought of war in his mind, but glad, I think, if men allowed him to remain quiet in his palace. But when word was brought that the barbarians with a great army were not far off, but somewhere among the Taulantii, he abandoned the palace and fled in disorderly fashion to Ravenna, a strong city lying just about at the end of the Ionian Gulf, while some say that he brought in the barbarians himself, because an uprising had been started against him among his subjects; but this does not seem to me trustworthy, as far, at least, as one can judge of the character of the man. And the barbarians, finding that they had no hostile force to encounter them, became the most cruel of all men. For they destroyed all the cities which they captured, especially those south of the Ionian Gulf, so completely that nothing has been left to my time to know them by, unless, indeed, it might be one tower or one gate or some such thing which chanced to remain. And they killed all the people, as many as came in their way, both old and young alike, sparing neither women nor children. Wherefore even up to the present time Italy is sparsely populated. They also gathered as plunder all the money out of all Europe, and, most important of all, they left in Rome nothing whatever of public or private wealth when they moved on to Gaul. But I shall now tell how Alaric captured Rome.

After much time had been spent by him in the siege, and he had not been able either by force or by any other device to capture the place, he formed the following plan. Among the youths in the army whose beards had not yet grown, but who had just come of age, he chose out three hundred whom he knew to be of good birth and possessed of valour beyond their years, and told them secretly that he was about to make a present of them to certain of the patricians in Rome, pretending that they were slaves. And he instructed them that, as soon as they got inside the houses of those men, they should display much gentleness and moderation and serve them eagerly in whatever tasks should be laid upon them by their owners; and he further directed them that not long afterwards, on an appointed day at about midday, when all those who were to be their masters would most likely be already asleep after their meal, they should all come to the gate called Salarian and with a sudden rush kill the guards, who would have no previous knowledge of the plot, and open the gates as quickly as possible. After giving these orders to the youths, Alaric straightway sent ambassadors to the members of the senate, stating that he admired them for their loyalty toward their emperor, and that he would trouble them no longer, because of their valour and faithfulness, with which it was plain that they were endowed to a remarkable degree, and in order that tokens of himself might be preserved among men both noble and brave, he wished to present each one of them with some domestics. After making this declaration and sending the youths not long afterwards, he commanded the barbarians to make preparations for the departure, and he let this be known to the Romans. And they heard his words gladly, and receiving the gifts began to be exceedingly happy, since they were completely ignorant of the plot of the barbarian. For the youths, by being unusually obedient to their owners, averted suspicion, and in the camp some were already seen moving from their positions and raising the siege, while it seemed that the others were just on the point of doing the very same thing. But when the appointed day had come, Alaric armed his whole force for the attack and was holding them in readiness close by the Salarian Gate; for it happened that he had encamped there at the beginning of the siege. And all the youths at the time of the day agreed upon came to this gate, and, assailing the guards suddenly, put them to death; then they opened the gates and received Alaric and the army into the city at their leisure. And they set fire to the houses which were next to the gate, among which was also the house of Sallust, who in ancient times wrote the history of the Romans, and the greater part of this house has stood half-burned up to my time; and after plundering the whole city and destroying the most of the Romans, they moved on. At that time they say that the Emperor Honorius in Ravenna received the message from one of the eunuchs, evidently a keeper of the poultry, that Rome had perished. And he cried out and said, "And yet it has just eaten from my hands!" For he had a very large cock, Rome by name; and the eunuch comprehending his words said that it was the city of Rome which had perished at the hands of Alaric, and the emperor with a sigh of relief answered quickly: "But I, my good fellow, thought that my fowl Rome had perished." So great, they say, was the folly with which this emperor was possessed.

But some say that Rome was not captured in this way by Alaric, but that Proba, a woman of very unusual eminence in wealth and in fame among the Roman senatorial class, felt pity for the Romans who were being destroyed by hunger and the other suffering they endured; for they were already even tasting each other's flesh; and seeing that every good hope had left them, since both the river and the harbour were held by the enemy, she commanded her domestics, they say, to open the gates by night.

Now when Alaric was about to depart from Rome, he declared Attalus, one of their nobles, emperor of the Romans, investing him with the diadem and the purple and whatever else pertains to the imperial dignity. And he did this with the intention of removing Honorius from his throne and of giving over the whole power in the West to Attalus. With such a purpose, then, both Attalus and Alaric were going with a great army against Ravenna. But this Attalus was neither able to think wisely himself, nor to be persuaded by one who had wisdom to offer. So while Alaric did not by any means approve the plan, Attalus sent commanders to Libya without an army. Thus, then, were these things going on.

And the island of Britain revolted from the Romans, and the soldiers there chose as their king Constantinus, a man of no mean station. And he straightway gathered a fleet of ships and a formidable army and invaded both Spain and Gaul with a great force, thinking to enslave these countries. But Honorius was holding ships in readiness and waiting to see what would happen in Libya, in order that, if those sent by Attalus were repulsed, he might himself sail for Libya and keep some portion of his own kingdom, while if matters there should go against him, he might reach Theodosius and remain with him. For Arcadius had already died long before, and his son Theodosius, still a very young child, held the power of the East. But while Honorius was thus anxiously awaiting the outcome of these events and tossed amid the billows of uncertain fortune, it so chanced that some wonderful pieces of good fortune befell him. For God is accustomed to succour those who are neither clever nor able to devise anything of themselves, and to lend them assistance, if they be not wicked, when they are in the last extremity of despair; such a thing, indeed, befell this emperor. For it was suddenly reported from Libya that the commanders of Attalus had been destroyed, and that a host of ships was at hand from Byzantium with a very great number of soldiers who had come to assist him, though he had not expected them, and that Alaric, having quarrelled with Attalus, had stripped him of the emperor's garb and was now keeping him under guard in the position of a private citizen. And afterwards Alaric died of disease, and the army of the Visigoths under the leadership of Adaulphus proceeded into Gaul, and Constantinus, defeated in battle, died with his sons. However the Romans never succeeded in recovering Britain, but it remained from that time on under tyrants. And the Goths, after making the crossing of the Ister, at first occupied Pannonia, but afterwards, since the emperor gave them the right, they inhabited the country of Thrace. And after spending no great time there they conquered the West. But this will be told in the narrative concerning the Goths.

Now the Vandals dwelling about the Maeotic Lake, since they were pressed by hunger, moved to the country of the Germans, who are now called Franks, and the river Rhine, associating with themselves the Alani, a Gothic people. Then from there, under the leadership of Godigisclus, they moved and settled in Spain, which is the first land of the Roman empire on the side of the ocean. At that time Honorius made an agreement with Godigisclus that they should settle there on condition that it should not be to the detriment of the country. But there was a law among the Romans, that if any persons should fail to keep their property in their own possession, and if, meanwhile, a time amounting to thirty years should pass, that these persons should thenceforth not be entitled to proceed against those who had forced them out, but they were excluded by demurrer from access to the court; and in view of this he established a law that whatever time should be spent by the Vandals in the Roman domain should not by any means be counted toward this thirty-year demurrer. And Honorius himself, when the West had been driven by him to this pass, died of disease. Now before this, as it happened, the royal power had been shared by Honorius with Constantius, the husband of Placidia, the sister of Arcadius and Honorius; but he lived to exercise the power only a few days, and then, becoming seriously ill, he died while Honorius was still living, having never succeeded in saying or in doing anything worth recounting; for the time was not sufficient during which he lived in possession of the royal power. Now a son of this Constantius, Valentinian, a child just weaned, was being reared in the palace of Theodosius, but the members of the imperial court in Rome chose one of the soldiers there, John by name, as emperor. This man was both gentle and well-endowed with sagacity and thoroughly capable of valorous deeds. At any rate he held the tyranny five years and directed it with moderation, and he neither gave ear to slanderers nor did he do any unjust murder, willingly at least, nor did he set his hand to robbing men of money; but he did not prove able to do anything at all against the barbarians, since his relations with Byzantium were hostile. Against this John, Theodosius, the son of Arcadius, sent a great army and Aspar and Ardaburius, the son of Aspar, as generals, and wrested from him the tyranny and gave over the royal power to Valentinian, who was still a child. And Valentinian took John alive, and he brought him out in the hippodrome of Aquileia with one of his hands cut off and caused him to ride in state on an ass, and then after he had suffered much ill treatment from the stage-performers there, both in word and in deed, he put him to death. Thus Valentinian took over the power of the West. But Placidia, his mother, had reared this emperor and educated him in an altogether effeminate manner, and in consequence he was filled with wickedness from childhood. For he associated mostly with sorcerers and those who busy themselves with the stars, and, being an extraordinarily zealous pursuer of love affairs with other men's wives, he conducted himself in a most indecent manner, although he was married to a woman of exceptional beauty. And not only was this true, but he also failed to recover for the empire anything of what had been wrested from it before, and he both lost Libya in addition to the territory previously lost and was himself destroyed. And when he perished, it fell to the lot of his wife and his children to become captives. Now the disaster in Libya came about as follows.

There were two Roman generals, Aetius and Boniface, especially valiant men and in experience of many wars inferior to none of that time at least. These two came to be at variance in regard to matters of state, but they attained to such a degree of highmindedness and excellence in every respect that if one should call either of them "the last of the Romans" he would not err, so true was it that all the excellent qualities of the Romans were summed up in these two men. One of these, Boniface, was appointed by Placidia general of all Libya. Now this was not in accord with the wishes of Aetius, but he by no means disclosed the fact that it did not please him. For their hostility had not as yet come to light, but was concealed behind the countenance of each. But when Boniface had got out of the way, Aetius slandered him to Placidia, saying that he was setting up a tyranny and had robbed her and the emperor of all Libya, and he said that it was very easy for her to find out the truth; for if she should summon Boniface to Rome, he would never come. And when the woman heard this, Aetius seemed to her to speak well and she acted accordingly. But Aetius, anticipating her, wrote to Boniface secretly that the mother of the emperor was plotting against him and wished to put him out of the way. And he predicted to him that there would be convincing proof of the plot; for he would be summoned very shortly for no reason at all. Such was the announcement of the letter. And Boniface did not disregard the message, for as soon as those arrived who were summoning him to the emperor, he refused to give heed to the emperor and his mother, disclosing to no one the warning of Aetius. So when Placidia heard this, she thought that Aetius was exceedingly well-disposed towards the emperor's cause and took under consideration the question of Boniface. But Boniface, since it did not seem to him that he was able to array himself against the emperor, and since if he returned to Rome there was clearly no safety for him, began to lay plans so that, if possible, he might have a defensive alliance with the Vandals, who, as previously stated, had established themselves in Spain not far from Libya. There Godigisclus had died and the royal power had fallen to his sons, Gontharis, who was born to him from his wedded wife, and Gizeric, of illegitimate birth. But the former was still a child and not of very energetic temper, while Gizeric had been excellently trained in warfare, and was the cleverest of all men. Boniface accordingly sent to Spain those who were his own most intimate friends and gained the adherence of each of the sons of Godigisclus on terms of complete equality, it being agreed that each one of the three, holding a third part of Libya, should rule over his own subjects; but if a foe should come against any one of them to make war, that they should in common ward off the aggressors. On the basis of this agreement the Vandals crossed the strait at Gadira and came into Libya, and the Visigoths in later times settled in Spain. But in Rome the friends of Boniface, remembering the character of the man and considering how strange his action was, were greatly astonished to think that Boniface was setting up a tyranny, and some of them at the order of Placidia went to Carthage. There they met Boniface, and saw the letter of Aetius, and after hearing the whole story they returned to Rome as quickly as they could and reported to Placidia how Boniface stood in relation to her. And though the woman was dumbfounded, she did nothing unpleasant to Aetius nor did she upbraid him for what he had done to the emperor's house, for he himself wielded great power and the affairs of the empire were already in an evil plight; but she disclosed to the friends of Boniface the advice Aetius had given, and, offering oaths and pledges of safety, entreated them to persuade the man, if they could, to return to his fatherland and not to permit the empire of the Romans to lie under the hand of barbarians. And when Boniface heard this, he repented of his act and of his agreement with the barbarians, and he besought them incessantly, promising them everything, to remove from Libya. But since they did not receive his words with favour, but considered that they were being insulted, he was compelled to fight with them, and being defeated in the battle, he retired to Hippo Regius, a strong city in the portion of Numidia that is on the sea. There the Vandals made camp under the leadership of Gizeric and began a siege; for Gontharis had already died. And they say that he perished at the hand of his brother. The Vandals, however, do not agree with those who make this statement, but say that Gontharis' was captured in battle by Germans in Spain and impaled, and that Gizeric was already sole ruler when he led the Vandals into Libya. This, indeed, I have heard from the Vandals, stated in this way. But after much time had passed by, since they were unable to secure Hippo Regius either by force or by surrender, and since at the same time they were being pressed by hunger, they raised the siege. And a little later Boniface and the Romans in Libya, since a numerous army had come from both Rome and Byzantium and Aspar with them as general, decided to renew the struggle, and a fierce battle was fought in which they were badly beaten by the enemy, and they made haste to flee as each one could. And Aspar betook himself homeward, and Boniface, coming before Placidia, acquitted himself of the suspicion, showing that it had arisen against him for no true cause.

So the Vandals, having wrested Libya from the Romans in this way, made it their own. And those of the enemy whom they took alive they reduced to slavery and held under guard. Among these happened to be Marcian, who later upon the death of Theodosius assumed the imperial power. At that time, however, Gizeric commanded that the captives be brought into the king's courtyard, in order that it might be possible for him, by looking at them, to know what master each of them might serve without degradation. And when they were gathered under the open sky, about midday, the season being summer, they were distressed by the sun and sat down. And somewhere or other among them Marcian, quite neglected, was sleeping. Then an eagle flew over him spreading out his wings, as they say, and always remaining in the same place in the air he cast a shadow over Marcian alone. And Gizeric, upon seeing from the upper storey what was happening, since he was an exceedingly discerning person, suspected that the thing was a divine manifestation, and summoning the man enquired of him who he might be. And he replied that he was a confidential adviser of Aspar; such a person the Romans call a "domesticus" in their own tongue. And when Gizeric heard this and considered first the meaning of the bird's action, and then remembered how great power Aspar exercised in Byzantium, it became evident to him that the man was being led to royal power. He therefore by no means deemed it right to kill him, reasoning that, if he should remove him from the world, it would be very clear that the thing which the bird had done was nothing , and he felt, too, that he would be killing him for no good cause; and if, on the other hand, it was fated that in later times the man should become king, it would never be within his power to inflict death upon him; for that which has been decided upon by God could never be prevented by a man's decision. But he bound Marcian by oaths that, if it should be in his power, he would never take up arms against the Vandals at least. Thus, then, Marcian was released and came to Byzantium, and when at a later time Theodosius died he received the empire. And in all other respects he proved himself a good emperor, but he paid no attention at all to affairs in Libya. But this happened in later times.

At that time Gizeric, after conquering Aspar and Boniface in battle, displayed a foresight worth recounting, whereby he made his good fortune most thoroughly secure. For fearing lest, if once again an army should come against him from both Rome and Byzantium, the Vandals might not be able to use the same strength and enjoy the same fortune, , he was not lifted up by the good fortune he had enjoyed, but rather became moderate because of what he feared, and so he made a treaty with the Emperor Valentinian providing that each year he should pay to the emperor tribute from Libya, and he delivered over one of his sons, Honoric, as a hostage to make this agreement binding. So Gizeric both showed himself a brave man in the battle and guarded the victory as securely as possible, and, since the friendship between the two peoples increased greatly, he received back his son Honoric. And at Rome Placidia had died before this time, and after her, Valentinian, her son, also died, having no male offspring, but two daughters had been born to him from Eudoxia, the child of Theodosius. And I shall now relate in what manner Valentinian died.

There was a certain Maximus, a Roman senator, of the house of that Maximus who, while usurping the imperial power, was overthrown by the elder Theodosius and put to death, and on whose account also the Romans celebrate the annual festival named from the defeat of Maximus. This younger Maximus was married to a woman discreet in her ways and exceedingly famous for her beauty. For this reason a desire came over Valentinian to have her to wife. And since it was impossible, much as he wished it, to meet her, he plotted an unholy deed and carried it to fulfilment. For he summoned Maximus to the palace and sat down with him to a game of draughts, and a certain sum was set as a penalty for the loser; and the emperor won in this game, and receiving Maximus' ring as a pledge for the agreed amount, he sent it to his house, instructing the messenger to tell the wife of Maximus that her husband bade her come as quickly as possible to the palace to salute the queen Eudoxia. And she, judging by the ring that the message was from Maximus, entered her litter and was conveyed to the emperor's court. And she was received by those who had been assigned this service by the emperor, and led into a certain room far removed from the women's apartments, where Valentinian met her and forced her, much against her will. And she, after the outrage, went to her husband's house weeping and feeling the deepest possible grief because of her misfortune, and she cast many curses upon Maximus as having provided the cause for what had been done. Maximus, accordingly, became exceedingly aggrieved at that which had come to pass, and straightway entered into a conspiracy against the emperor; but when he saw that Aetius was exceedingly powerful, for he had recently conquered Attila, who had invaded the Roman domain with a great army of Massagetae and the other Scythians, the thought occurred to him that Aetius would be in the way of his undertaking. And upon considering this matter, it seemed t the solid silver plate became glass-clear.

The teleport looked from the laboratory into another room in the building, and he turned a dial which caused the plane of view to retreat until it passed through the wall into their own room.

"I had a bit of trouble on my first try," he told her ruminatively. "I drilled a three-inch hole in the wall over there."

"How did you do that?" she asked, leaning forward interestedly.

"But how does it work?" asked the incredulous girl.

"Space is curved," he said. "Curved in the fourth dimension. Inasmuch as this thing looks anywhere we want it to, it must cross space directly. Actually, it works because of a bit of rather involved field theory. In simple terms--which because they're simplified are subject to argument for absolute fact--it is a situation where time and space are factors normal to this particular universe or environment. However, neither time nor space have the same meaning when you traverse a space or a universe that has no connection to this one. So the teleport connects two locations in this space with no apparent distance between them."

"But why?"

Kingsley picked up a bit of paper, and put two dots on it about three inches apart. Then he folded the paper so that the dots touched one another.

"See? The two-dimensional paper is curved in the third dimension so that the two dots are touching through one dimension but three inches apart in the other."

"But you can't tell me that this room full of equipment is powerful enough to cause any warpage of space you feel inclined to bend?"

He shook his head. "No, even the mass of the sun warps space only a minute bit. But the case is that we cannot really get any mental picture of a curved space. It may be curved in many ways, and might even have a multiplicity of curves. Since it curves in the fourth dimension, there is always some curve that will cause any two spots to be adjacent, and these curves are constantly variable so that you move smoothly from one to the other as you change the power."

"I'm still dull," she said, and smiled.

"That's hunger," he said. "And while I'm demonstrating, I'll make another attempt."

He twiddled the dials until the scene went down into a lower floor. He approached the stove first, then switched in the extra power. Then, standing before the circle, he reached through and took the coffee pot from the stove.

He turned the scene to a cupboard where he got coffee from a flower-printed cannister. He filled the coffee pot, placed it on the stove, and lit the gas. He turned the scene to the refrigerator and took a paper-wrapped package.

"Hamburger," he said.

Joe Kingsley set the meat in the pan, then went back to the cupboard. From this he took plates, knives, forks, cups and saucers. He handed them back over his shoulder with a flourish, and Sally Ransome set a corner of the laboratory table.

Then, watching the frying hamburger, Kingsley continued to explain.

"You've seen the normal curve of a function--a curved line running across a piece of cross-ruled paper?"

"Yes."

"Have you ever seen a three-dimensional graph?"

"No."

"It's called a functional surface. It has places that show the function of two variables. You can vary either of them, and the position of the intersection shows the function. You can vary one of them in a minute increment and the function may move only slightly. It's like drawing a series of lines on a curved surface, like--like a contour map." He gave her a pleased glance. His fumbling had found the proper simile and he was happy.

"So," he continued, "the tide can come in a thousandth of an inch, and the contour will change minutely. So in a four dimensional graph, you change the function slightly and the space-curve changes slightly--not abruptly but smoothly--and you have another location. Follow?"

"I follow, but I'm a long way behind. All I know is that it seems to work. How's the hamburger?"

"Done," he said.

He handed the food over and took the coffee pot from the stove. He poured.

"Not the Biltmore," he said. "And even so, it's just the thing you didn't want a couple of hours ago."

"Here it's fine," she said. "We can still talk. I like it. Two, Joe."

Kingsley's spirits lifted again. He dropped two lumps of sugar in Sally's coffee and settled back in his chair. Sally tasted the coffee.

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