On a bluff across the Hudson River from Manhattan, a vice president of the United States measured off 10 paces, turned and shot an acclaimed former U.S. Treasury secretary.

Neither deficits nor tax cuts or vice presidential four-letter invective had a whit to do with it.

When Aaron Burr shot his rival, tormentor and sometime friend Alexander Hamilton in a duel exactly 200 years ago Sunday, two men were destroyed. Hamilton's wound was mortal; he writhed for a day before dying. Burr walked away unscathed but with his reputation dashed for eternity.

Sunday at 10:30 a.m. the lineal descendants of Hamilton and Burr plan to gather on the Weehawken waterfront and reenact this most famous of American duels. Or sort of reenact it. Douglas Hamilton, an IBM salesman from Ohio and fifth-great-grandson of the treasury secretary, has declined to do anything so tacky as to fall to the ground, grasp his side and moan.

He proposes to fire his black-powder dueling pistol and wait for the Burr descendant to do the same. Then the Hamilton descendant will take a gentleman's knee.

"Most families don't go out and reenact the death of their ancestors," said Hamilton, who has agreed to don a high hat, coat and hair piece for the occasion. "I have assurances they'll do it with class."

Antonio Burr, a forensic psychologist in Manhattan, will take the role of Aaron Burr. "If I can convey a little bit of his presence and his sense of command, I'll be very pleased," Burr said. "I fully empathize with Hamilton's concern, though. We don't want any gore here."

If both families are energetic stewards of their ancestors' legacies, the Burrs are perhaps jauntier. They have been history's black sheep for two centuries now -- this is their first invitation to attend an anniversary of the duel.

The Burrs start at a considerable deficit, given that their great-great-great-great-great-grandfather, while a learned and witty man, also killed a founding father of the Republic. Later, Burr tried to establish his own nation west of the Mississippi, a scheme that led contemporaries and a few historians to label him a traitor. (A jury, however, acquitted Burr.)

"We're hungrier. We're the underdog," explains Stuart Fisk Johnson, president of the Aaron Burr Association and a barrister in the D.C. Superior Court, who will take the role of Aaron's second in the reenactment. "But we're certainly looking forward to dissolving any tensions with the Hamiltons. After 200 years, it's time to get along."

Hamilton got much the better of Burr, in death if not in life. Born on the Caribbean island of Nevis to an unmarried Scottish father and a French mother, Hamilton came to this country as a student, served as an aide to Gen. George Washington, signed the Constitution, co-wrote the Federalist Papers and founded the central bank. He was a principal intellectual advocate of a strong federal government -- and a man who much feared the tyranny of the democratic majority.

Burr, too, was a man of accomplishment although not so grand as Hamilton. Burr was a brave soldier, an able political operative and a tough lawyer. He tended toward a more participatory vision of democracy.

After the Revolution, the men became prominent New York lawyers when the city's bar numbered about 35. They shared a love of smart clothes and beautiful women -- their wives and many other ladies, as well. (Burr wrote: "If you know any man dying from ennui, I recommend him to engage in a duel and an affair at the same time.")

Each man longed for fame, which Hamilton described as the "spring of action." But by 1804, their reputations had darkened and jealousies arose. President Thomas Jefferson never trusted Vice President Burr, and desired that his Virginia crowd -- James Madison and James Monroe -- should inherit the presidential mantle.

Hamilton, meanwhile, had fallen out with his fellow federalists. To make matters worse, Hamilton -- who once blocked Burr's election as governor of New York -- watched as Burr began to make inroads with the New York federalists.

Few historians are tougher on Burr than Richard Brookhiser, author of "Alexander Hamilton, American" and curator of an upcoming Hamilton show at the New York Historical Society. "He was a smart, clever man, and he said a number of funny things," Brookhiser said. "But he was an empty narcissist."

Perhaps, but Hamilton could be a hot-tempered annoyance. He gloried in the serrated-edged insult. His quarrels were so numerous that he wrote at least six letters challenging men to duels. Hamilton's eldest son was killed in a duel in 1801.

"It was a period of noble and inspirational words but also of malice and slander," said Ron Chernow, author of "Alexander Hamilton," an acclaimed new biography. "Hamilton was an irritant, and there must have been times when Burr dreamed of being rid of him."

That moment came in the summer of 1804. Hamilton had dined with companions in Albany, and opined that he harbored a "despicable opinion" of Burr. When Burr heard of this, he demanded an apology. Hamilton refused, and Burr challenged him to a duel.

Technically illegal, duels were a highly formalized ritual by which patrician gentlemen settled accusations of slander. Each man had a second, and sometimes the duels acquired a Monty Python-like quality. A challenger, for instance, could demand as many volleys as required to redeem his honor. Once Gov. DeWitt Clinton had to fire five volleys, and shoot his foe in both legs, before he was allowed to leave.

On the day of their duel in 1804, Hamilton and Burr were rowed across the Hudson River to Weehawken. (New Jersey was notably lax in enforcing laws against dueling.) They took 10 paces, turned and shot. Hamilton's shot went wide and Burr's didn't. A lead ball tore through Hamilton's liver.

Curiously, Hamilton had confided to friends that he had developed moral reservations about dueling and that he intended to shoot wide of Burr. That led to speculation that Hamilton, still distraught at the death of his eldest son, intended to die.

"A lot of people think Hamilton had a kind of suicidal streak," Antonio Burr said.

Hamilton's partisans acknowledge he probably was depressed, and that this may have clouded his judgment. But they balk at the notion that he sought death. "He was an intense guy," Douglas Hamilton said. "He just needed to get this out of his system."

Brookhiser agreed. "Suicide sounds a bit too Russian for my man," he said.

Hamilton's descendants have come hesitantly to this commemoration. The Hamilton National Genealogical Society declined to endorse the reenactment. "Other than to glorify an unnecessary death," the society's Web site stated, "we see absolutely no reason to celebrate such an occasion." (Society members' principal campaign these days is to preserve their ancestor's face on the $10 bill, fending off that arriviste Ronald Reagan.)

Other partisans have offered hot words on behalf of the treasury secretary. Brookhiser, particularly, is dismissive of Burr descendants' efforts to achieve historical parity for their man. "You know, it's tough when your relatives have no principles and no accomplishments," Brookhiser said.

Well, now. In a previous age, in these families, those would be fighting words. Fortunately, Antonio Burr is a modern man. "The old narrative is extremely unfair," he said. "Aaron Burr was brilliantly well read, and he made political deals. You might say he was a bit Clintonian."

Or you might say that all good feuds must come to an end.

"If Alexander Hamilton, with a bullet in his back, could forgive Aaron Burr," noted Douglas Hamilton, "then I can forgive the Burr family 200 years later."

Aaron Burr, left, fatally shot ex-Treasury secretary Alexander Hamilton 200 years ago.Marking where the duel took place, a bust of Alexander Hamilton sits atop a monument in Weehawken, N.J., across the Hudson River from New York City.Burr, who was vice president, is shown shooting Hamilton, who reportedly fired wide on purpose. The former treasury secretary was hit in the liver.A rehearsal of the reenactment brought together Antonio Burr, left, and Douglas Hamilton, center, portraying their ancestors, and Stuart Fisk Johnson, who will act as Burr's second.