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Archimedes manuscript yields secrets under X-ray gaze
PhysOrg.com ^ | 20 May 2005 | Staff

Posted on 05/21/2005 4:14:32 AM PDT by PatrickHenry

For five days in May, the ancient collided with the ultra-modern at the Stanford Linear Accelerator Center (SLAC), bringing brilliant, long-hidden ideas to light with brilliant X-ray light. A synchrotron X-ray beam at the Department of Energy facility illuminated an obscured work - erased, written over and even painted over - of ancient mathematical genius Archimedes, born 287 B.C. in Sicily.

Archimedes' amazingly advanced ideas have been lost and found several times throughout the ages. Now scientists are employing modern technology — including X-ray fluorescence at SLAC's Stanford Synchrotron Radiation Laboratory (SSRL) — to completely read the Archimedes Palimpsest, the only source for at least two previously unknown treatises thought out by Archimedes in the third century B.C.

"Synchrotron light has revolutionized our view into the sub-microscopic world and has contributed to major innovations in fields including solid-state physics, materials science, environmental sciences, structural biology and chemistry," explained Keith Hodgson, director of SSRL. "Synchrotron light is created when electrons traveling the speed of light take a curved path around a storage ring — emitting electromagnetic light in X-ray through infrared wavelengths. The resulting light beam has characteristics that make it ideal for revealing the intricate architecture and utility of many kinds of matter—in this case, the previously hidden work of one of the founding fathers of all science."

Legend has it that Archimedes, upon displacing water in his tub and realizing he had found a way to measure volumes, leapt out of the bath and ran naked through the streets shouting 'Eureka!' (I have found it!). He also conceived a way to calculate pi, the mathematical equivalent of inventing the wheel. Archimedes did not just take steps toward calculus, as formerly believed; he actually created and used calculus methods, the basis for modern engineering and science. He is also credited with designing fearsome war weapons, such as claws that pulled attacking boats from the water.

The palimpsest is a 1,000-year-old parchment made of goatskin containing Archimedes' work as laboriously copied down by a 10th century scribe. Two centuries later, with parchment harder to come by, the ink was erased with a weak acid (like lemon juice) and scraped off with a pumice stone, and the parchment was written on again to make a prayer book.

One of the most intractable problems was seeing the original ink on four pages that had been painted over with Byzantine religious images, which turned out to be 20th century forgeries intended to increase the value of the prayer book.

An X-ray system recently showed it was possible to penetrate the paintings. At SSRL, the assembled team practically jumped with excitement as the original writing beneath one painting was unveiled on the computer screens. Archimedes' hidden text deals with floating bodies and the equilibrium of planes.

Three pages of the palimpsest recently traveled to Menlo Park because SSRL staff scientist Uwe Bergmann had his own Eureka moment in 2003. From a magazine article, he learned the inks used for both the Archimedes and religious texts contained iron pigment.

"I read that and I immediately thought we should be able to read the parchment with X-rays," Bergmann said. "That's what we do at SSRL — we measure iron in proteins — extremely small concentrations of iron."

The intense synchrotron X-ray beam induces X-ray fluorescence — X-ray light tuned to a specific energy causes the remaining traces of iron ink to fluoresce. A detector catches the fluorescence and renders the 2,000-year-old thoughts of the mathematical genius readable. Like an old dot-matrix printer, the detector builds an image dot by dot, mapping out each speck of iron-containing ink. Where the two texts overlap (they are written perpendicular to each other) the iron signal is stronger , which may allow researchers to separate the two texts.

"The Archimedes ink is only one to two microns thick — there's hardly anything there," said Abigail Quandt, head of book and paper conservation at the Walters Art Museum in Baltimore, which is leading a broad public and private effort involving experts from diverse fields to study and conserve the manuscript.

"This is for broad public interest, to reveal the mind of the greatest mathematician of antiquity," said Will Noel, curator of manuscripts and rare books at the Walters Art Museum. "There's nothing more important and more romantic in the history of ancient science and currently in the history of medieval manuscripts. We're discovering new readings of Archimedes."

Much of the manuscript has been read by visible or ultraviolet light during six years of painstaking analysis and restoration. For the rest, the main tools are X-ray fluorescence, optical character recognition (teaching a computer to recognize fragments of ancient Greek symbols) and multi-spectral imaging (using light of different wavelengths). Ametek-Edax of New Jersey makes an X-ray fluorescence system—which first revealed hints of text under the forged paintings — that could be installed at the museum to analyze pages that are too fragile to travel.

Another page studied at SSRL contains an introduction to the only copy of Archimedes' Method of Mechanical Theorems, where the genius showed how he arrived at his theorems. As ancient Greek cursive — mingled with the religious text — appeared on a screen, Stanford Classics and Philosophy Professor Reviel Netz began decoding the Archimedes text. He uses the four layers of text from the synchrotron images, which simultaneously register the scientific and religious texts from both sides of the parchment page, and multi-spectral images to build a picture of the 10th century pen strokes and rule out the curves and lines made two centuries later.

"I don't think X-rays will make invisible material simply visible," Netz said. "It will add a layer of information combined with others that will enable me to read the text."

An anonymous private collector who bought the palimpsest for $2 million at auction in 1998 has loaned the manuscript to the Walters Art Museum and is funding the studies. Researchers also come from RB Toth Associates, Rochester Institute of Technology, Johns Hopkins University, ConocoPhillips and Rutgers University.

The team plans to decipher the entire text, catalog and transcribe it digitally, and create an interactive DVD. They will then exhibit a few pages in 2008 before returning the irreplaceable parchment to its owner.


TOPICS: Culture/Society; Miscellaneous; Philosophy
KEYWORDS: archaeology; archimedes; archimedespalimpsest; aristotle; cary; epigraphyandlanguage; ggg; godsgravesglyphs; history; hyperides; johnmyronas; manuscript; palimpsest
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To: PatrickHenry

That's very cool.


41 posted on 05/21/2005 1:15:30 PM PDT by dljordan
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To: KC_for_Freedom
The real question is what happened to the men who, like Newton could understand the writings of people like Archimedes during the dark ages.

I heard many surviving manuscripts were in Ireland, where the zealotry of the Inquisition and other such Chrisitan-State extremisms didn't penetrate for considerable time.

42 posted on 05/21/2005 1:26:44 PM PDT by doc30 (Democrats are to morals what and Etch-A-Sketch is to Art.)
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To: Bear_Slayer; PatrickHenry

"...upon displacing water in his tub and realizing he had found a way to measure volumes,..."

Actually this is wrong. He discovered the concept of specific gravity. He was able to use it to show the king that his crown wasn't pure gold, as the story goes. As I recall the crooks that tried to pull a fast one on the king suffered some bad consequences. Maybe we need a king.


43 posted on 05/21/2005 1:41:48 PM PDT by furball4paws (One of the last Evil Geniuses, or the first of their return.)
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To: PatrickHenry
"Not a bad time, all things considered."

Great for Yersinia pestis (used to be Pasteurella pestis and it's friend in grime Rattus rattus, but the name change didn't fool the bug - still endemic in areas of NM and AZ)

44 posted on 05/21/2005 1:46:01 PM PDT by furball4paws (One of the last Evil Geniuses, or the first of their return.)
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To: KC_for_Freedom

The 6000 year doctrine (as I call it) was prevalent in the Middle Ages. For some reason the year 2000 was supposed to be the end and the second coming was scheduled. Again I don't know why.

So, why push progress and knowledge, etc, when in a few hundred years the world was coming to an end anyway?

Bad mindset.


45 posted on 05/21/2005 1:50:08 PM PDT by furball4paws (One of the last Evil Geniuses, or the first of their return.)
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To: PatrickHenry

This is great, PH, but what does the damn thing say? I hope it's not a recipe for fruitcake.


46 posted on 05/21/2005 1:52:17 PM PDT by furball4paws (One of the last Evil Geniuses, or the first of their return.)
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To: furball4paws; PatrickHenry

"Maybe we need a king."

I nominate PH for King.


47 posted on 05/21/2005 1:53:07 PM PDT by furball4paws (One of the last Evil Geniuses, or the first of their return.)
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To: furball4paws

Good catch ... and quite correct.


48 posted on 05/21/2005 1:54:04 PM PDT by MHGinTN (If you can read this, you've had life support from someone. Promote life support for others.)
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To: MHGinTN

Well, a way of measuring volume without destroying the crown was an important part of the Eureka!.


49 posted on 05/21/2005 1:55:17 PM PDT by furball4paws (One of the last Evil Geniuses, or the first of their return.)
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To: furball4paws
I nominate PH for King.

Thanks, but I decline. Let's stick with the Constitution. Rather, let's restore the Constitution.

50 posted on 05/21/2005 2:15:30 PM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: Larry Lucido

I HAVE trisected an angle using a protracter and a straight edge. ;-D


51 posted on 05/21/2005 2:26:39 PM PDT by Judith Anne (Thank you St. Jude for favors granted.)
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To: Judith Anne
Good catch.
52 posted on 05/21/2005 2:28:27 PM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: Judith Anne

Actually, I meant a compass and straight edge. :-)


53 posted on 05/21/2005 2:31:12 PM PDT by Larry Lucido
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To: PatrickHenry; Judith Anne
Okay, I don't have a trisected angle. But here's a sected triangle.


54 posted on 05/21/2005 2:36:34 PM PDT by Larry Lucido
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To: PatrickHenry

hey wait, how was he using Calculous if the Arabs hadn't taught us dhimmis Algerbra yet???


55 posted on 05/21/2005 2:38:00 PM PDT by Dead Dog
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To: Larry Lucido

Interestingly, I have done that too. Yes, it can be done and it's simple when you see it.

Wish I knew how to post a drawing, but I might be able to describe it, step by step.


56 posted on 05/21/2005 2:41:36 PM PDT by Judith Anne (Thank you St. Jude for favors granted.)
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To: Judith Anne

Well, if you figure it out, let me know. I've gotta divide this pizza three ways and it's getting cold.


57 posted on 05/21/2005 2:48:47 PM PDT by Larry Lucido
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To: JasonC

With no one left who could understand the mathematics, the decision was made that the text was worthless.


58 posted on 05/21/2005 7:07:50 PM PDT by pierrem15
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To: doc30
Ughhh!

The inquisition wasn't started until the persecution of the Carthusians by St. Dominic in southern France in the 13th century.

The first general suppresion of writings by the Church that I know of was the suppression of Averroes works also in the 13th century (following their suppression by Muslim authorities in the 12th century).

If you haven't studied the period closely, it is difficult to understand the depth of the decline that occurred at the end of the Roman Empire into the early Middle Ages.

Literacy was primarily an urban phenomenon in the Roman world, and by 600 AD, most cities in Europe had shrunk to no more than (at most) a few thousand inhabitants grubbing a living among the ruins.

You don't need a religious explanation to explain the loss of writings.

If hundreds of thousands of armed men roamed across North American killing, raping, looting and pillaging, not just for years but for decades stretching on into centuries, how many books would be left in America?

59 posted on 05/21/2005 7:19:56 PM PDT by pierrem15
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To: pierrem15
Methinks Albertus Magnus wouldn't have had any trouble. Nor would Roger Bacon.
60 posted on 05/21/2005 11:46:36 PM PDT by JasonC
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