Thursday, 14 July 2011

Euclid of Alexandria

There isn't clear information about Euclid's life. where/when he was born and dead unknown. No likeness or description of Euclid's physical appearance made during his lifetime survived antiquity. Therefore, Euclid's depiction in works of art is the product of the artist's imagination
the few historical references about Euclid written centuries by Proclus and Pappus  of Alexandria after he died. Euclid wrote a book which called Elements. When King Ptolemy asked if there was a shorter path to learning geometry than Euclid's Elements, Euclid answered there isn't royal road to geometry. Although many of the results in Elements originated with earlier mathematicians, one of Euclid's accomplishments was to present them in a single, logically coherent framework, making it easy to use and easy to reference, including a system of rigorous mathematical proofs that remains the basis of mathematics 23 centuries later.
There is no mention of Euclid in the earliest remaining copies of the Elements, and most of the copies say they are "from the edition of Theon" or the "lectures of Theon",while the text considered to be primary, held by the Vatican, mentions no author. The only reference that historians rely on of Euclid having written the Elements was from Proclus, who briefly in his Commentary on the Elements ascribes Euclid as its author.
Although best-known for its geometric results, the Elements also includes number theory. It considers the connection between perfect numbers and Mersenne primes, the infinitude of prime numbers, Euclid's lemma on factorization the Euclidean algorithm for finding the greatest common divisor of two numbers.
The geometrical system described in the Elements was long known simply as geometry, and was considered to be the only geometry possible. Today, however, that system is often referred to as Euclidean geometry to distinguish it from other so-called non-Euclidean geometries that mathematicians discovered in the 19th century.

1 comment:

  1. It is amazing how a contribution of one man can stand out for centuries and centuries. Of course, we know that in real world there is no such thing as Euclidean geometry, it is only a model that helps us to approach reality. However, in ideal world, it feels to me, it is how it should be. A pretty much Plato's notion of ideas of things and things themselves.

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