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Topic: Rhind Papyrus


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Pi

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  Moscow and Rhind Mathematical Papyri - Wikipedia, the free encyclopedia
papyrus British Museum 10057 and pBM 10058), is named after Alexander Henry Rhind, a Scottish antiquarian, who purchased the papyrus in 1858 in Luxor, Egypt; it was apparently found during illegal excavations in or near the Ramesseum.
Although it might be an overstatement to suggest that the papyrus represents a rudimentary attempt at analytical geometry, Ahmes did make use of a kind of an analogue of the cotangent.
the 2/n table of the Rhind Papyrus, which dates from more than a thousand years before Pythagoras, seems to show an awareness of prime and composite numbers, a crude version of the 'Sieve of Eratosthenes,' a knowledge of the arithmetic, geometric, and harmonic means, and of the 'perfectness' of the number 6.
en.wikipedia.org /wiki/Rhind_Papyrus   (856 words)

  
 Encyclopedia: Rhind Mathematical Papyrus   (Site not responding. Last check: 2007-11-07)
The 14th problem states that a pyramid has been divided (or truncated) in such a way that the top area is a square of length 2 units, the bottom a square of length 4 units, and the height 6 units, as shown.
The British Museum, where the papyrus is now kept, aquired it in 1865; there are a few small fragments held by the Brooklyn Museum in New York.
Besides describing how to obtain an approximation of π accurate to within less than one per cent, it also describes one of the earliest attempts at squaring the circle and in the process provides persuasive evidence against the theory that the Egyptians deliberately built their pyramids to enshrine the value of π in the proportions.
www.nationmaster.com /encyclopedia/Rhind-Mathematical-Papyrus   (1042 words)

  
 Rhind papyrus
A papyrus scroll, 33 cm high and 565 cm wide, found in a tomb in Thebes, which is the most valuable source of information we have about Egyptian mathematics.
The hieroglyphs on the papyrus were deciphered in 1842, while the Babylonian clay-tablet cuneiform writing was deciphered later in the nineteenth century.
The Moscow papyrus is sometimes called the Golenischev papyrus after the Russian V. Golenischev, who purchased it in 1893 from two Egyptian brothers who found the tomb at Deir el-Bahri.
www.daviddarling.info /encyclopedia/R/Rhind_papyrus.html   (440 words)

  
 The Egyptian Papyrus Shop Of The Internet   (Site not responding. Last check: 2007-11-07)
The outer bark of the papyrus plant is removed and the inner pith sliced into thin strips, which are subsequently hammered to break the fibers and drain the water.
The papyrus strips are cut to the required lenth and placed on a piece of cotton, each at a slight overlap making two layers.
The papyrus sheets are put between two pieces of cardboard and placed under a hand press to be squeezed and left in the sun until dry.
www.papyrus-shop.com /manufactring.asp   (227 words)

  
 [No title]   (Site not responding. Last check: 2007-11-07)
One of the earliest written records from ancient Egypt (transcribed circa 1650 BC from a source believed to date from around 1850 BC or earlier) is known as the Rhind Mathematical Papyrus, and contains a table expressing fractions of the form 2/n as sums of two, three, or four unit fractions with distinct denominators.
Thus, it's not surprising that 2/29 is the first entry in the Rhind Papyrus where a four-term representation is used.
In summary, the 2/n table of the Rhind Papyrus, which dates from more than a thousand years before Pythagoras, seems to show an awareness of prime and composite numbers, a crude version of the "Sieve of Eratosthenes", a knowledge of the arithmetic, geometric, and harmonic means, and of the "perfectness" of the number 6.
www.mathpages.com /home/rhind.htm   (1273 words)

  
 MAT 300 Spring 2004 --Answers to  E-mail assignments
The Rhind Papyrus was copied by the scribe A'h-mose (or Ahmes) in about 1650 BCE from an original about 200 years older.
In the Rhind Papyrus the method of false position was used to solve problems involving linear equations, or at least problems involving processes that are equivalent to linear equations.
The Rhind and Moscow papyri have problems involving the pesu of two "foods" made from grain.
southernct.edu /~gingrich/mat3002004/emailassignments2004answers.html   (462 words)

  
 Rhind_Mathematical_Papyrus   (Site not responding. Last check: 2007-11-07)
As a footnote, the Berlin Papyrus (circa 1800 BC) shows that the ancient Egyptians could solve a second-order algebraic equation (Williams, [3] (http://www.math.buffalo.edu/mad/Ancient-Africa/mad_ancient_egyptpapyrus.html#berlin)).
The Moscow Papyrus (http://www.math.tamu.edu/~don.allen/history/egypt/node4.html) and Summary of Egyptian Mathematics (http://www.math.tamu.edu/~don.allen/history/egypt/node5.html).
The Ahmes Papyrus (http://www.math.tamu.edu/~don.allen/history/egypt/node3.html) and Summary of Egyptian Mathematics (http://www.math.tamu.edu/~don.allen/history/egypt/node5.html).
www.usedaudiparts.com /search.php?title=Rhind_Mathematical_Papyrus   (833 words)

  
 Moscow and Rhind Papyri   (Site not responding. Last check: 2007-11-07)
The Rhind also contained calculations for areas of rectangles, triangles and trapezoids, and volumes of cylinders, cones and frusta of cones.
The Rhind is located in the British Museum in London.
The author of the Moscow Papyrus is unknown, and is slightly older than the Rhind Papyrus, dating back to about 1850 BC.
www.saintjoe.edu /~kmh4088/papyri.html   (477 words)

  
 K. Zahrt - Thoughts on Ancient Egyptian Mathematics   (Site not responding. Last check: 2007-11-07)
The Rhind Mathematical Papyrus is labeled BM 10057 and BM 10058 and is often referred to by these numbers.
Many math history classes study the documentation of this Papyrus because it is thought to be a good representation of the mathematical level of the ancient Egyptians and displays one of the earliest known forms of mathematics.
Clagett states that it is evident from this reply that the papyrus came from a tomb near the place where the Rhind Mathematical Papyrus was discovered.
www.iusb.edu /~journal/2000/zahrt.html   (2621 words)

  
 rhind papyrus egyptian mathematics (rhind paprus egyptian mathematics) information.
The primary sources are the Rhind (or Ahmes) Papyrus and the Moscow.
The papyrus roll was found in a Thebes ruin and was purchased in 1858 by Henry Rhind.
The Rhind (Ahmed) Papyrus Egyptian Mathematics and the Rhind Papyrus The History of Geometry in Egypt THE SEKED The Seked and the Geometry of the Egyptian.
www.hostkhiladi.com /spellcheck/r/rhind_papyrus_egyptian_mathematics.html   (232 words)

  
 Rhind Mathematical Papyrus   (Site not responding. Last check: 2007-11-07)
The Rhind Mathematical Papyrus is also important as a historical document, since the copyist noted that he was writing in year 33 of the reign of Apophis, the penultimate king of the Hyksos Fifteenth Dynasty (about 1650-1550 BC) and was copied after an original of the Twelfth Dynasty (about 1985-1795 BC).
On the other side of the papyrus 'year 11' is mentioned, with a reference to the taking of some Egyptian towns.
The papyrus was acquired by the Scottish lawyer A.H. Rhind during his stay in Thebes in the 1850s.
www.thebritishmuseum.ac.uk /compass/ixbin/goto?id=OBJ11   (246 words)

  
 MSN Encarta - Search Results - papyrus
Papyrus, also paper reed, common name for a plant of the sedge family.
Egyptian Literature, literature of ancient Egypt, recorded in inscriptions or written on papyrus.
Dead Sea Scrolls, collection of about 600 Hebrew and Aramaic manuscripts discovered in a group of caves near Khirbat Qumrān in Jordan, at the...
ca.encarta.msn.com /papyrus.html   (97 words)

  
 Rhind papyrus --  Encyclopædia Britannica   (Site not responding. Last check: 2007-11-07)
The papyrus was bought in 1858 in a Nile resort town by a Scottish antiquary, Alexander Henry Rhind, hence its name; less frequently, it is called the Ahmes papyrus in honour of the scribe who...
What was known of earlier traditions, such as the Egyptian as represented by the Rhind Papyrus (itself edited for the first time only in 1877), offered at best a meagre precedent.
Papyrus and other agricultural crops were vital to the development of Egyptian civilization.
www.britannica.com /eb/article-9063424   (797 words)

  
 Rhind Papyrus : Library of Congress Citations   (Site not responding. Last check: 2007-11-07)
Heading: Rhind papyrus References: nna Papyrus Rhind Rhind mathematical papyrus RMP Ahmes papyrus Notes: Robins, G. The Rhind mathematical papyrus, 1990, c1987: -- galley (bought in Luxor by Alexander Henry Rhind; RMP) New ency.
Brit., c1983 -- (Rhind papyrus; less frequently it is called Ahmes papyrus in honor of the scribe who copied it) Ency.
(The Rhind lectures in archaeology in connection with the Society of Antiquaries of Scotland) The ancient Slavs, c1991: t.p.
www.mala.bc.ca /~mcneil/cit/citlcahmes1.htm   (408 words)

  
 Rhind & Moscow Papyrus   (Site not responding. Last check: 2007-11-07)
Both the Rhind and Moscow Papyrus come from the Middle Kingdom and are two of Egypt's longest lasting mathematical texts.
The Rhind Papryus (or Ahmes Papyrus) is named after Henry Rhind, the Scottish man who took this piece of history
The Moscow Mathematical Papyrus was also enscribed around 1850 BC by an unknown scribe.
www.saintjoe.edu /~jkj4989/papyrus.html   (321 words)

  
 Malaspina Great Books
Ahmes was the Egyptian scribe who wrote the Rhind Papyrus.
The papyrus is named after a young Scottish antiquary named A. Henry Rhind who purchased the papyrus at Luxor in 1858.
The papyrus is said to have been found in the ruins of a small ancient building at Thebes.
www.malaspina.org /Ahmes.htm   (303 words)

  
 COLOR: Ancient Egyptian Math Texts   (Site not responding. Last check: 2007-11-07)
Also, the papyrus as a material for preserving texts, is not as durable as clay tablets used by other civilizations.
The papyrus, a scroll about 6 metres long and 1/3 of a metre wide, was written around 1650 BC by the scribe Ahmes who is copying a document which is 200 years older.
The Rhind text also contain the use of irrational numbers, arithemetical and geometrical progressions, in problems 40 and 79.
www.saxakali.com /color_asp/historymaf2.htm   (354 words)

  
 New Page 1   (Site not responding. Last check: 2007-11-07)
The Rhind, Moscow, Berlin and Reisner papyri are still to be fully analysed but the levels of knowledge found therein were, until very recently, not thought to have been reached for at least another 1500 years.[1]
It is called the Rhind Mathematical Papyrus, and was bought in an Egyptian market by Scottish Antiquarian A Henry Rhind in the 19th Century.
Between the Rhind Papyrus of 1650BC and the demotic mathematical papyri of the late period, which are roughly contemporary with the compilation of Euclid's Elements between 500 and 300 BC, there is a fl hole of more than a millennium.
myweb.tiscali.co.uk /davel/Rhind.htm   (708 words)

  
 Best Souvenirs from Egypt - Story of Papyrus
The most ancient writing material, the papyrus, was manufactured using an aquatic plant long-cultivated in the delta of the river Nile.
The juice of the plant acts as an adhesive that bonds the strips together forming a sheet, which is finally hammered, and dried in the sun.
Our large line of hand painted art on genuine papyrus comes in over one hundred designs, and in a variety of colors and sizes, all are suitable for framing (We strongly recommend you to select your own favorite style of frame).
www.happymall.com /egypt/EgyStory.htm   (475 words)

  
 Egypt: The Ancient Egyptian Number System (Math), A Feature Tour Egypt Story
Problem no. 56 in the Rhind Papyrus gives an equation to find the angle of the slope of a pyramid's face, which in fact is its cotangent.
The Rhind Papyrus also asks questions like "From a certain amount of grain, how many loaves can be baked?" or "Given a ramp of length x and height y, how many bricks are needed?" These are typical examples of what Egyptian school students had to do in their mathematics class.
The papyrus was found in Thebes in the ruins of a small building near the Ramesseum.
www.touregypt.net /featurestories/numbers.htm   (1325 words)

  
 Egyptian mathematics
The Rhind papyrus is named after the Scottish Egyptologist A Henry Rhind, who purchased it in Luxor in 1858.
It is now becoming more common to call the Rhind papyrus after Ahmes rather than Rhind since it seems much fairer to name it after the scribe than after the man who purchased it comparatively recently.
The Moscow papyrus is now in the Museum of Fine Arts in Moscow, while the Rhind papyrus is in the British Museum in London.
www-gap.dcs.st-and.ac.uk /~history/HistTopics/Egyptian_mathematics.html   (1638 words)

  
 The Rhind and Moscow papyrus - EgyptSearch Forums
In the scope of this lecture, Dr. Barsky covered the topics of Moscow Papyrus, Rhind Papyrus, the Rosetta Stone, the volume of a pyramid, the area of a triangle, and the area of a circle.
Specific examples mentioned were the Moscow papyrus, dated around 1850 B.C., and the Rhind papyrus, believed to be from around 1650 B.C. Also touched upon was the Rosetta stone, which as a polished stone with writing on it.
The two main sources of Egyptian mathematical knowledge are known as the Moscow Papyrus and the Rhind Papyrus, from -1850 and -1650 respectively.
www.egyptsearch.com /forums/Forum8/HTML/001401.html   (1644 words)

  
 Egyptian Papyri
There are few errors in the Rhind papyrus but those which there are appear to be errors of calculation, not of copying, since the incorrect result is carried forward rather than a return to the correct path which would happen from an error in copying.
The methods of false position is used in Problems 24 to 29 of the Rhind Papyrus.
The problem is number 14 from the papyrus and it concerns the geometrical figure visible in the portion of Moscow papyrus seen in this image.
www-groups.dcs.st-and.ac.uk /~history/HistTopics/Egyptian_papyri.html   (1695 words)

  
 Rhind Papyrus   (Site not responding. Last check: 2007-11-07)
The Rhind Papyrus so named after its discoverer in 1858, Alexander Henry Rhind,a Scottish antiquarian.
Besides describing how to obtain an approximation of π only missing the mark by under one per cent, it is describes oneof the earliest attempts at squaring the circle and in theprocess provides persuasive evidence against the theory that the Egyptians deliberately built their pyramids to enshrine the value of π in the proportions.
Even though it would be a strong overstatementto suggest that the papyrus represents even rudimentary attempts at analytical geometry, Ahmes did make use of a kind of ananalogue of the cotangent.
www.therfcc.org /rhind-papyrus-156636.html   (181 words)

  
 Lecture 2 Rhind papyrus
It was carved in pyramids and temples by priests and scribes and concerns taxation, building design, land measurement, restoration of boundaries after floods and religious ritual such as the sizes and shapes of altars.
It was also written ink on papyrus scrolls, preserved by storage in pots in a dry climate.
Every fraction can be expressed as a sum of distinct unit fractions, and the first problem in the Ahmes papyrus has tables for 2/n as a sum of distinct unit fractions for various values of n.
www.maths.uwa.edu.au /~schultz/3M3/L2Egypt.html   (536 words)

  
 Rhind 2/n table - Mathematicians of the African Diaspora
This table found on the Rhind (Ahmes) Papyrus contains a list of Egyptian fractions used for 2/n where n is an odd n umber from 3 to 101.
To learn how or why are the choices made as below, read De-mystifying the Rhind 2/n Table, where the diacritical remarks are explained from my initial understanding.
There are several places on the web attempting to (and some which don't) present exact data on the Rhind Mathematical papyrus rolls.
www.math.buffalo.edu /mad/Ancient-Africa/mad_ancient_egyptroll2-n.html   (992 words)

  
 Rhind Mathematical Papyrus (5 of 8)
Rhind Mathematical Papyrus (5 of 8) / © 1979-2001 by Franz Gnaedinger, Zurich, fg@seshat.ch  / www.seshat.ch
Rhind 3 / Rhind 4 / Rhind 5 /
A granary in the form of a cylinder has an inner diameter of 9 royal cubits and an inner height of 10 royal cubits.
www.seshat.ch /home/rhind5.htm   (2397 words)

  
 Egyptian Fractions
One of the papyrus scrolls, discovered in a tomb in Thebes, was bought by a 25 year old scotsman, Henry Rhind at a market in Luxor, Egypt, in 1858.
The hieroglyphs (picture-writing) on the papyrus were only deciphered in 1842 (and the Babylonian clay-tablet cuneiform writing was deciphered later that century).
Mathematics in the Time of the Pharaohs by Richard J Gillings, Dover, 1972 is an inexpensive and readable account of the mathematics in the Rhind Papyrus, it contents and methods.
www.mcs.surrey.ac.uk /Personal/R.Knott/Fractions/egyptian.html   (3406 words)

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