Egyptian Math

-     Angles at the base of any isosceles triangle are equal. -     If two straight lines intersect, then the opposite angles formed are equal. Thales also did much work with the height of pyramids by measuring the height of the pyramid's shadow only at a specific time of the day. While most of his theorems were proven, some that were not pertained to a ship's distance from shore and the bisector of a circle. His discoveries led to the formation of many other theorems by later Greeks such as Pythagoras and Plato.

(Hartshorne 296). Euclid’s axiomatic method works by “starting from a small number of definitions and assumptions at the beginning, [so that] all the succeeding results are proved by logical deduction from what has gone before.” In essence it is no more than “a method of proving that results are correct.” Many of Euclid’s proofs are constructions, all of which can be done using no more than a ruler and a compass and rely only on the theorems and rules of the system. Despite having developed this rigorous system of proofs, Euclid did not actually demonstrate everyt... ... middle of paper ... ... of Nebraska Press, 1991. Blumenthal, Leonard M. A Modern View of Geometry. San Fransisco: W.H.

By the time Euclid's Elements appeared in about 300 BC, several important results about primes had been proved. In Book IX of the Elements, Euclid proves that there are infinitely many prime numbers. This is one of the first proofs known which uses the method of contradiction to establish a result. Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way. Euclid also showed that if the number 2n - 1 is prime then the number 2n-1(2n - 1) is a perfect number.

Computer Software. Encarta Encyclopedia, 1996 ed. Sabines. Computer Software. Encarta Encyclopedia, 1996 ed.

They are also believed to be the first to use fractions, although they wrote their fractions differently than we do today. Their mathematics had an emphasis on measurement and calculations. With their vast knowledge in geometry they were able to calculate the areas of triangles, bricks, trapezoids and pyramids. The Egyptians practiced the mathematical arts through hieroglyphics, pyramids, and the Rhind Papyrus. Ancient Egyptians used hieroglyphics for many things including mathematics.

This theorem is still used today, in modern geometric equations The Hindu / Arabian Period (500A.D. – 1199A.D. ), gave us Aryabhata the Elder and Muhammad ibn Musa al-Khowarizmi. Al-Khowarizmi wrote a very important Egyptian book titled “Al-jabr” His book helped to advance the study of algebra, and is re... ... middle of paper ... ... salary for a government mathematician is $62,000; for mathematical statisticians, $65,660 In conclusion, “Good mathematicians do not rush in to apply a formula or an equation. Instead, they try to understand the problem situation; they consider alternative representations and relations among variables.

Robert, A. Wayne and Dale E. Varberg. Faces of Mathematics. New York: Harper & Row Publishers, Inc., 1978.

In fact the ancient Greeks were one of the first to deal with recurring decimals. The Greek mathematician Zeno had a paradox in which the answer was a finite number that was a sum of an infinite sequence. The answer to his problem was a recurring decimal, and it definitely would not be the last time recurring decimals played a role in mathematics. Famous mathematicians such as Euler, Gauss, and Fermat all have contributed their own discoveries about the nature of these numbers. Fittingly, recurring decimals fall under the elegant category of number theory in mathematics, called the “queen of mathematical studies” by Gauss.

Rae Steinheiser Grubisic Honors Algebra I Period 6 1 May 2014 Writing Assignment: Math of the Ancient Egyptians Introduction The Ancient Egyptians are commonly known as the first people to use geometry. Not only did they use it, but they were masters of it. Their work constructing the pyramids only provides evidence of their vast mathematical knowledge. The Ancient Egyptians invented many different mathematical techniques in order to make daily life easier. Luckily, there are still records from the Egyptians that have been decoded so that we may learn how they invented their version of math.

The Ancient Indians had some mathematical achievements. One of their mathematical achievements, which was shown in the Vedic texts, is that they had names for every number up to one billion. The Vedic texts also show that they managed to calculate irrational numbers, such as√3, very accurately (Whitfield, Traditions 42).... ... middle of paper ... ...affect us in numerous ways, such as in architecture, modern mathematics, modern science, the medical world, technology, and much more. Ancient India, China, and Greece all contributed to math and science, however, the Greek achievements influenced us the most. They invented Pythagorean Theorem, calculated the value of pi, discovered atoms, accurately found the size of the Earth, and had much more accomplishments than India or China.