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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
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...

I'm not sure I buy this explanation. Sounds like a lot of work to 'recycle' this bit of parchment. What, was there a shortage of goatskins suddenly? This sounds more like a rather strange 'coverup' for reasons now unknown.

21 posted on 05/21/2005 7:04:56 AM PDT by 6SJ7
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To: PatrickHenry
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."

Thank you Bergmann - thanks from all of us. What a great find.

22 posted on 05/21/2005 8:35:51 AM PDT by GOPJ ( Bright lines between soldiers and citizens blind both.)
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To: Scenic Sounds

Interesting stuff.


23 posted on 05/21/2005 8:37:57 AM PDT by Amelia (Common sense isn't particularly common.)
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To: Amelia

That is cool! ;-)


24 posted on 05/21/2005 8:43:09 AM PDT by Scenic Sounds (Sí, estamos libres sonreír otra vez - ahora y siempre.)
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To: Lazamataz
"...I've never seen a NakedMathWithFeathers ping list on FR."

Please put me on your NakedMathWithFeathers ping list.

When do we meet? Do I have to bring my own feathers?

25 posted on 05/21/2005 8:50:04 AM PDT by NicknamedBob ("What's with Modern Music? If I want screaming and shrieking, I can go home to my family." - George)
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To: GOPJ
What a great find.

You gotta wonder what the world would have been like if the Greek and Roman civilization hadn't collapsed and work like this had never been lost. We might have been 1,000 years more advanced from where we are now.

26 posted on 05/21/2005 8:52:25 AM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: Junior
More like, an early example of the effect of poverty and "recycling" on cultural artifacts. A book then cost what an automobile costs today, the physical object.
27 posted on 05/21/2005 8:55:25 AM PDT by JasonC
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To: PatrickHenry
Or recurrent civil wars, mad tyrants, blood sport, a thousand bizarre superstitions, and routine public torture might have eventually digusted everybody. Don't selectively romanticize the past. The present isn't all Feynman and Einstein and the past wasn't all Archimedes and Ptolomy.
28 posted on 05/21/2005 9:03:17 AM PDT by JasonC
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To: Lockbar

Any chance of getting the mpeg or mp3 of Archimedes original "Eureka!" moment?


29 posted on 05/21/2005 9:23:14 AM PDT by Calvin Locke
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To: Junior

"Obviously it was."

There's nothing obvious about it. We have no way of knowing what the motivation of the recycler was, or how many duplicate copies he had.

Besides, from the little description we get from this article, it doesn't appear that there was anything there that the Church would have had any interest in suppressing, anyway.


30 posted on 05/21/2005 10:25:41 AM PDT by dsc
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To: PatrickHenry


Hmm...
31 posted on 05/21/2005 12:06:12 PM PDT by Dimensio (http://angryflower.com/bobsqu.gif <-- required reading before you use your next apostrophe!)
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To: longshadow

32 posted on 05/21/2005 12:08:53 PM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: PatrickHenry
We might have been 1,000 years more advanced from where we are now.

Not to mention that we would have skipped the Dark Ages.... a period of human history we could have done without....

33 posted on 05/21/2005 12:08:57 PM PDT by longshadow
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To: Junior

Sounds like what Kansas wants to do to the very definition of science. Human nature never changes.


34 posted on 05/21/2005 12:31:44 PM PDT by doc30 (Democrats are to morals what and Etch-A-Sketch is to Art.)
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To: longshadow
Not to mention that we would have skipped the Dark Ages.... a period of human history we could have done without....

Well, you have to look at the bright side. During that period, the old pagan religions were finally snuffed out, we got rid of a lot of witches, built cathedrals, recycled pagan manuscripts into prayer books, and shook off that ridiculous Roman fetish for fresh running water and daily baths. Not a bad time, all things considered.

35 posted on 05/21/2005 12:34:43 PM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: Junior

My guess is that the culprit was a math moron and couldn't have known the value of the text.


36 posted on 05/21/2005 12:45:55 PM PDT by CobaltBlue (Extremism in the defence of liberty is no vice. Moderation in the pursuit of justice is no virtue.)
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To: PatrickHenry
Not a bad time, all things considered.

Especially if you liked Plagues, ignorance, superstition, and a lack of personal hygiene....

37 posted on 05/21/2005 12:51:53 PM PDT by longshadow
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To: longshadow
Not to mention that we would have skipped the Dark Ages.... a period of human history we could have done without....


38 posted on 05/21/2005 12:54:35 PM PDT by Plutarch
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To: longshadow

The Pantheon in Rome
39 posted on 05/21/2005 12:59:51 PM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: PatrickHenry
You gotta wonder what the world would have been like if the Greek and Roman civilization hadn't collapsed and work like this had never been lost. We might have been 1,000 years more advanced from where we are now.

Things probably progressed as well as they could, what seems to stop societies in their tracks is the nutty idea that if it is in the holy book its true and all one needs and if it is not in the holy book it is not worth learning. I seem to remember this is a tenant of radical Islam today. The real question is what happened to the men who, like Newton could understand the writings of people like Archimedes during the dark ages. There must have been some in the Church, but outside the church, what did they do?

40 posted on 05/21/2005 1:00:51 PM PDT by KC_for_Freedom (Sailing the highways of America, and loving it.)
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