wikipedia:
Ancient Egyptian mathematics (c. 1850—600 BC)
Main article: Egyptian mathematics
Egyptian mathematics refers to mathematics written in the Egyptian language. From the Hellenistic period, Greek replaced Egyptian as the written language of Egyptian scholars, and from this point Egyptian mathematics merged with Greek and Babylonian mathematics to give rise to Hellenistic mathematics. Mathematical study in Egypt later continued under the Islamic Caliphate as part of Islamic mathematics, when Arabic became the written language of Egyptian scholars.
The oldest mathematical text discovered so far is the Moscow papyrus, which is an Egyptian Middle Kingdom papyrus dated c. 2000—1800 BC.[citations needed] Like many ancient mathematical texts, it consists of what are today called "word problems" or "story problems", which were apparently intended as entertainment. One problem is considered to be of particular importance because it gives a method for finding the volume of a frustum: "If you are told: A truncated pyramid of 6 for the vertical height by 4 on the base by 2 on the top. You are to square this 4, result 16. You are to double 4, result 8. You are to square 2, result 4. You are to add the 16, the 8, and the 4, result 28. You are to take one third of 6, result 2. Your are to take 28 twice, result 56. See, it is 56. You will find it right."
The Rhind papyrus (c. 1650 BC [1]) is another major Egyptian mathematical text, an instruction manual in arithmetic and geometry. In addition to giving area formulas and methods for multiplication, division and working with unit fractions, it also contains evidence of other mathematical knowledge (see [2]), including composite and prime numbers; arithmetic, geometric and harmonic means; and simplistic understandings of both the Sieve of Eratosthenes and perfect number theory (namely, that of the number 6)[3]. It also shows how to solve first order linear equations [4] as well as arithmetic and geometric series [5].
Also, three geometric elements contained in the Rhind papyrus suggest the simplest of underpinnings to analytical geometry: (1) first and foremost, how to obtain an approximation of π accurate to within less than one percent; (2) second, an ancient attempt at squaring the circle; and (3) third, the earliest known use of a kind of cotangent.
Finally, the Berlin papyrus (c. 1300 BC [6] [7]) shows that ancient Egyptians could solve a second-order algebraic equation [8].
2007-05-09 03:01:23
·
answer #1
·
answered by tsunamijon 4
·
0⤊
0⤋
Here is one, although I don't know who gets credit:
Ancient Egyptian Method of Multiplication
The ancient Egyptians were not aware of the concept of multiplication tables as we are. The following method of multiplying numbers was developed by them to serve their needs.
For example, we will multiply 12 times 8. We all know the answer to this or --do we?
The ancient Egyptians used the following method. Start two columns; one begins with 12, the second begins with 8. The first column will be divided by 2; ignore the remainder; the number in the second column will double with each iteration.
Every place we have an even number in the first column we cross through the numbers in the first and second columns. Then, add the remaining numbers in the second column. This iterative process will work for any pair of positive integers.
½.........X2
12.........8
6..........16
3..........32
1..........64
............96
A byproduct of the process is that the number in the first column, in this case 12, is converted to a binary number (base 2) in the following way:
In the first column every place there is an odd number developed in the halving process, replace with 1; for even numbers, replace with 0. Reading from bottom to top we have 1100 which is the binary equivalent of 12.
.
2007-05-09 03:05:18
·
answer #3
·
answered by Robert L 7
·
0⤊
0⤋