segunda-feira, 19 de novembro de 2012

Rhind Papyrus

The Rhind Papyrus is considered to be the most important known source of information concerning ancient Egyptians mathematics. This scroll, about a foot (30 cm) high and 18 feet (5.5 meters) long, was found in a tomb in Thebes on the east bank of the river Nile. Ahmes, the scribe, wrote it in hieratic, a script related to the hieroglyphic system. Given that the writing occurred in around 1650 B. C., this makes Ahmes the earliest-known individual in the history of mathematics! The scroll also contains the earliest-known symbols for mathematical operations - plus is denoted by a pair of legs walking toward the number to be added.
In 1858, Scottish lawyer and Egyptologist Alexander Henry Rhind had been visiting Egypt for health reasons when he bought the scroll in a market in Luxor. The British Museum in London acquired the scroll in 1864.
Ahmes wrote that the scroll gives an "accurate reckoning for inquiring into things, and the knowledge of all things, mysteries...all secures." The content of the scroll concerns mathematical problems involving fractions, arithmetic progressions, algebra, and pyramid geometry, as well as practical mathematics useful for surveying, building, and accounting. The problem that intrigues me the most is Problem 79, the interpretation of which was initially baffling.
Today, many interpret Problem 79 as a puzzle, which may be translated as "Seven houses contain seven cats. Each cat kills seven mice. Each mouse had eaten seven ears of grain. Each ear of grain would have produced seven hekats (measures) of wheat. What is the total number of all of these?" Interestingly, this indestructible puzzle meme, involving the number 7 and animals, seems to have persisted through thousands of years! We observe something quite similar in Fibonacci's Liber Abati (Book of Calculation), published in 1202, and later in the St. Ives puzzle, an Old English children's rhyme involving 7 cats.

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