II.3 The Geometer Briareus

Damon was seventeen years old, with two hands already hardened by rope and the certainty—which at that age is easily mistaken for wisdom—that he now knew every secret of the workshop: how to draw a cord taut so it would not whistle in the night, at what point to oil the pin of a scorpion so it would not shriek in the instant of release, and at what exact hour the morning sun, grazing low across the Great Harbour1, would blind the Roman rowers more than any arrow.

He served the machines on the walls of Epipolae2, where the ring of fortifications shut off the sky from the city like a lid, and above all he served him—the old man who had conceived those machines, and who, having handed the drawing to the craftsman, almost never came back to see them at work, as if their completion bored him more than the difficulty had. To Archimedes, Damon carried tablets and stylus, not swords; he held the cord for him, not the shield. And yet he knew, with the mute certainty of young bodies, that on that day no soldier of Syracuse was doing work more necessary than his own.

The most feared machines were not the largest—not the iron claws that seized the Roman prows and overturned them as a spoon overturns soup. They were the small ones, the ones Damon himself loaded through the low embrasures of the wall, invisible from without: short-range scorpions, devised expressly for the moment when the enemy, believing themselves at last sheltered beneath the ramparts, crowded there without fear any longer. They had all been made ready, beneath the walls, by Archimedes3. And to the Romans, that day, it seemed that they were fighting against the gods, so many were the evils raining down upon them from an invisible place4.

Damon had seen him return, the evening before, his tunic still soiled not with the sweat of battle but with the sand of the courtyard, and ask, absently, whether the machines had worked—as one asks after a successful experiment, not a battle won. He had not asked how many Romans had died. He had asked whether the angle of the throw corresponded to the calculation.

Damon had no father to take after, in the workshop—his own had died two sieges earlier, when Syracuse still fought against its own neighbours more than against Rome—and he had chosen Archimedes as orphans choose a fixed star: not for an affection returned, which the old man did not know how to give, but for the sole grace of being able to look at it each evening in the same point of the sky, always there, indifferent to everything but itself.

By now far less than a scorpion sufficed. A cable left jutting from the parapet, forgotten; a beam left half-through a manoeuvre; and the ships anchored nearest reversed their oars and drew off like whipped dogs. The first time, Damon laughed: it seemed to him a game won without striking a blow. Then he understood that this, now, was the whole game: it was no longer necessary to strike. It was enough to be feared.

A mile away, behind the lines, Marcus Claudius Marcellus watched the same scene from afar and, victim of it though he was, found it almost comic. Marcellus had eight quinqueremes lashed two by two, and upon each pair had been built a «sambuca»—a scaffold for hoisting armed men above the ramparts of the besieged city5: his own invention, his own pride, convinced that no city could withstand such a contrivance. The sambuca now came back into port wrenched apart, a broken toy, and his own engineers did not dare look him in the face.

He called them together—the builders of machines, the craftsmen of the siege—and said to them something that would survive far longer than the sambuca. He said it, so it is handed down, in Greek: the language of his own enemies, as though only Greek had the syllables fit for an irony so bitter:

Οὐ παυσόμεθα πρὸς τὸν γεωμετρικὸν τοῦτον Βριάρεων πολεμοῦντες, ὃς τὰς μὲν ναῦς ἡμῶν καθίζων πρὸς τὴν θάλασσαν παίζων μετ' αἰσχύνης ἐκβέβληκε, τοὺς δὲ μυθικοὺς ἑκατόγχειρας ὑπεραίρει τοσαῦτα βάλλων ἅμα βέλη καθ' ἡμῶν;6

They laughed, the engineers. But no one laughed for long, because in Marcellus's jest there was a truth that no one, in Syracuse, could have framed better than a Roman consul just defeated:

Τῷ γὰρ ὄντι πάντες οἱ λοιποὶ Συρακούσιοι σῶμα τῆς Ἀρχιμήδους παρασκευῆς ἦσαν, ἡ δὲ κινοῦσα πάντα καὶ στρέφουσα ψυχὴ μία7.

All the others—Damon included, and the oars, and the ropes, and the squared stones, and the bodies that lifted them—were the body of a single undertaking; what moved and turned it was one soul alone, seated in the shade of a courtyard, indifferent to all that the body did in its name. Damon would never know that he had been defined so, in a Greek book written by a man not yet born, on the other shore of the sea. But had they told him, he would not have taken offence. It was true. It was, indeed, the one thing he wished to be: the hand of that mind.

A cable sufficed, Marcellus repeated now, laughing to his officers—a beam sufficed—for his men, should a piece of rope or a beam show even a little above the wall, to cry «there it is, there it is: Archimedes is loosing some machine against us», and turn their backs to flee8. This was no longer battle: it was superstition under arms.

And Marcellus, who understood war better than anyone else in Rome, took the only decision an honest general could take before an enemy he could not see and who never tired: he refrained from every combat and every assault, and from then on entrusted the siege to time9. Not weeks, then. Years.

No one, among the Romans, could have guessed that the builder of those machines held them, in his heart, a trifle: of them he had never proposed anything as a work worthy of serious effort; they were, for the most part, by-products of a geometry that allowed itself a game10—so a Greek biographer, who had never known him, would write of him long afterward. Of that same machine hoisted upon eight ships, the greatest and the most feared, there had been for Archimedes, in the end, no reckoning at all: neither of it, nor of any other of his own. It had been Hiero, years before, who had begged him to bend his art from the incorporeal to the corporeal—and Archimedes had yielded, as one yields to an old friend, never regarding it as anything but a yielding. It was a paradox whose full bitterness perhaps only Marcellus, of all the men beneath those walls, could have measured: the Roman admired above all things precisely what the Syracusan held to be the least worthy part of himself.

Marcellus's jest passed from mouth to mouth right inside the walls, as only the insults of enemies pass—enemies who honour us more than we would care to admit. Briareus. The geometer Briareus. The soldiers repeated it, laughing on the ramparts, proud as though the consul's affront were a medal struck expressly for them.

It seemed natural to Damon to carry it, that evening, into the courtyard where the old man, as always, had already forgotten the day and was bent over the raked sand, three fresh circles drawn in the dust.

«They call you Briareus,» he said, laughing. «The monster of the hundred hands.»

Archimedes raised his eyes for a single instant. There was, in that look, neither pride nor annoyance: there was the same neutral attention with which he would have received the news that a cloud had passed before the sun.

«A hundred hands,» he said. «To do what? Shift stones. Frighten boys whose helmets are too big for their heads.» He bent again over the sand. «Hands count for nothing, if they do not count toward something. Look at this instead.» And with the stylus he traced an arc, then another, then the chord that joined them, explaining to Damon—who understood perhaps a tenth of what he heard, but listened with his whole body, as one listens to things too great for the intellect but not for love—why two incommensurable magnitudes could nonetheless stand in a ratio that could be written down.

Damon watched him and thought: beyond the walls they call us the body and the soul of this city at war. But here, in the courtyard, there is no war. There is only an old man teaching circles to a boy who holds the cord steady for him. And Damon loved him—not as one loves a master, nor even as one loves a father one never had, but as one loves a rare thing one has had the privilege to serve without ever fully understanding it. He did not mind being the body. He minded only staying near long enough that the soul, one day, might turn and see him.

Beyond the walls, Marcus Claudius Marcellus was preparing for a siege that would last not weeks but years—years in which the silent geometry of an old man would hold in check the greatest power of the known world, and in which no one, neither in Rome nor in Syracuse, could have said with certainty which of the two armies was truly the besieged.