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Fresh look at Archimedes' theories
Discovery News ^ | Monday, 6 June 2005 | Rossella Lorenzi

Posted on 06/08/2005 11:21:50 PM PDT by nickcarraway

A long-obscured transcription of Archimedes' mathematical theories has been brought to light through x-rays, US scientists say.

The 1000-year-old parchment, made of goatskin, contains Archimedes' original work, which was written in the 3rd century BC but copied down by a 10th century scribe.

The manuscript includes the only copy in the original Greek of the treatise "Method of Mechanical Theorems", in which the Greek mathematician, physicist, and inventor describes how he developed his mathematical theorems using mechanical means.

It is also the only source in the original Greek of Archimedes' theory of flotation of bodies.

In the 12th century parchment was hard to come by, so it was re-used.

In this case, the ink on the goatskin parchment was erased with a weak acid, most likely lemon juice, and scraped off with a pumice stone so it could be rewritten as a prayer book.

The manuscript is called the Archimedes Palimpsest. Coming from the Greek, the word palimpsest indicates a writing material that has been re-used by erasing earlier writing.

In around 1922 to 1924, the book disappeared from a monastery in Constantinople. It resurfaced in the possession of a Parisian collector in the 1930s. Finally, it was bought at auction in 1998.

The anonymous buyer funded research to reveal the hidden text.

New and old methods

A large part of the text has been read using traditional means such as magnifying glasses and ultraviolet light.

But other parts were impossible to decipher; some pages were painted over with Byzantine religious images, which turned out to be 20th century forgeries intended to increase the value of the prayer book.

"The whole Archimedes Palimpsest contains 174 pages. About 20 to 30% of the text has not been identified. We hope to image a large portion of this unidentified text over the next several years," says physicist Uwe Bergmann of the Stanford Linear Accelerator Center in California.

After learning from a magazine article that the ink on the original manuscript contained iron, Bergmann realised he could use a method called x-ray fluorescence imaging to make the iron pigments in the original ink glow, thus allowing the text to emerge.

The beam, which has the size of a human hair, causes the iron in the ink to fluoresce.

A computer then analyses the pattern of fluorescence as the beam scans across the page.

Scholars have not yet finished reading and translating the text. But Bergmann says the scanning part of the project has been successful.

Stanford University classics and philosophy professor Reviel Netz says the scanning technology is "very promising".

"For the problem of reading through leaves with forged paintings it is certainly indispensable, and it is likely to be crucial all round," says

Great mathematician

Born in Sicily in 287 BC, Archimedes is considered the greatest mathematician and physicist in the ancient world. Legends about his life abound.

He is credited with discovering the principle of water displacement while sitting in his tub. Delighted at his discovery, he supposedly yelled "Eureka!" or "I have found it", and ran naked through the streets.

Archimedes died about 212 BC when Roman invaders captured Syracuse. Legend says he was killed because he was too busy doing calculations to obey a Roman soldier's order.

The Archimedes Palimpsest team plans to decipher the entire manuscript, then catalogue and transcribe it digitally.

An interactive DVD is slated for 2008, when the researchers hope to exhibit a few pages before returning the parchment to its owner.


TOPICS: Culture/Society; Extended News; Miscellaneous
KEYWORDS: ancienttexts; archimedes; archimedespalimpsest; aristotle; cary; epigraphyandlanguage; godsgravesglyphs; hyperides; johnmyronas; mathematics; palimpsest
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1 posted on 06/08/2005 11:21:50 PM PDT by nickcarraway
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To: nickcarraway

Eureka!


2 posted on 06/08/2005 11:24:26 PM PDT by TFine80
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To: nickcarraway
It is also the only source in the original Greek of Archimedes' theory of floatation of bodies

I'm glad Archimedes never met Michael Moore-he might have been too discouraged to write it down!

3 posted on 06/08/2005 11:31:25 PM PDT by WestVirginiaRebel (Carnac: A siren, a baby and a liberal. Answer: Name three things that whine.)
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To: PatrickHenry; Doctor Stochastic; RightWhale; Modernman; Dawsonville_Doc

simply cool


4 posted on 06/08/2005 11:39:38 PM PDT by King Prout (I'd say I missed ya, but that'd be untrue... I NEVER MISS)
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To: nickcarraway

I was hoping this would go well. Time will tell, however, if we can make sense of what the scanning revealed.


5 posted on 06/08/2005 11:40:32 PM PDT by newzjunkey (Remind Liberal Cowards Why America Freed Iraq: http://massgraves.info/)
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To: WestVirginiaRebel
I'm glad Archimedes never met Michael Moore-he might have been too discouraged to write it down!

But he could have then written about the displacement of water by massive bodies.

6 posted on 06/09/2005 12:09:00 AM PDT by highlander_UW (I don't know what my future holds, but I know Who holds my future)
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To: TFine80

We stand on the shoulders of giants. Building on the works of those before us. Obligated to those yet unborn to do our part. I am amazed each day the things that can be learned.


7 posted on 06/09/2005 12:17:41 AM PDT by Names Ash Housewares
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To: Names Ash Housewares

I'm amazed on how much ISN'T being learned in schools these days, and what is learned shouldn't be.


8 posted on 06/09/2005 12:42:06 AM PDT by Nathan Zachary
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To: WestVirginiaRebel
I'm glad Archimedes never met Michael Moore-he might have been too discouraged to write it down!

Or he might have discovered the works of Cantor 2000 years early.

9 posted on 06/09/2005 1:01:24 AM PDT by PMCarey
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To: nickcarraway
I always wondered how the Greeks did mathematics, since Hindu-Arabic numerals weren't introduced to us in the west until the 12th century by Fibonacci.

I know that the Romans used Abacci (a digital counting mechanism, in fact) and transcribed everything using Roman Numerals.

What did the Greeks use?

10 posted on 06/09/2005 1:20:12 AM PDT by Bon mots
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To: PMCarey
Re "Or he might have discovered the works of Cantor 2000 years early."

Are your referring to Moritz Benedikt Cantor 1829 - 1920?

From 1860 Cantor lectured on the history of mathematics and became one of the leading German historians of mathematics at the end of the 19th Century. From http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Cantor_Moritz.html
11 posted on 06/09/2005 2:25:30 AM PDT by sonofatpatcher2 (Texas, Love & a .45-- What more could you want, campers? };^)
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To: Nathan Zachary
I'm amazed on how much ISN'T being learned in schools these days, and what is learned shouldn't be.

I'm sure if you polled the students in your typical high school and asked who "Archimedes" is, the #1 response would be "Does he have a new rap CD out"?

12 posted on 06/09/2005 2:33:06 AM PDT by Popman (In politics, ideas are more important than individuals.)
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To: VadeRetro; Junior; longshadow; RadioAstronomer; Doctor Stochastic; js1138; Shryke; RightWhale; ...
SciencePing
An elite subset of the Evolution list.
See the list's description at my freeper homepage.
Then FReepmail to be added or dropped.

13 posted on 06/09/2005 4:11:59 AM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: nickcarraway; All
Related thread from almost a month ago: Archimedes manuscript yields secrets under X-ray gaze.
(You figured there's no need to do a search on "Archimedes," huh? Never underestimate FreeRepublic!)
14 posted on 06/09/2005 4:16:22 AM PDT by PatrickHenry (Felix, qui potuit rerum cognoscere causas. The List-O-Links is at my homepage.)
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To: Bon mots
There were/are other counting and numerical systems in existance. The Greeks used their own alphabetic nuemeral system which they are thought to have adapted from the Egyptians: Greek mathematical systems
15 posted on 06/09/2005 6:00:26 AM PDT by DGray (http://nicanfhilidh.blogspot.com)
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To: PatrickHenry
Thanks, PH...another interesting post. 8)
16 posted on 06/09/2005 6:43:00 AM PDT by skinkinthegrass (Just because you're paranoid, doesn't mean they aren't out to get you :^)
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To: King Prout

Archimedes used analog computers. Interesting. Who would be his modern equivalent? The artillery monk would be my nomination.


17 posted on 06/09/2005 8:22:15 AM PDT by RightWhale
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To: DGray
...Greek mathematical systems...

Thanks!

18 posted on 06/10/2005 4:05:59 AM PDT by Bon mots
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To: nickcarraway
It is also the only source in the original Greek of Archimedes' theory of flotation of bodies.

Updated translation:

although BS floats, the DIMS continue to sink!

19 posted on 06/10/2005 4:08:51 AM PDT by infocats
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To: PatrickHenry

Thanks for the ping!


20 posted on 06/10/2005 9:35:42 AM PDT by Alamo-Girl
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