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Euclid
Euclid was a Greek mathematician who became famous as the Father of Geometry. He was also known as Euclid of Alexandria, where he founded a school over 2,000 years ago. He published a 13 volume treatise called Elements, a collation of all the mathematics known at that time, which is the basis of geometry still taught in modern schools more than 2,000 years later.
681 Questions
How many books are in Euclid's ''Elements'' and what is the title of Book Thirteen?
There are 13 books in Euclid's Elements. The title of Book XIII is " Regular solids."
What anecdotes were there about Euclid?
Euclid, Pythagoras and a nun walk into a bar... No, I can't tell that one. How about Proclus telling a story that, when Ptolemy I asked if there was a shorter path to learning geometry than Euclid's Elements, "Euclid replied, 'There is no royal road to geometry.'"
Euclid lived for about 60 years between around 325 and 265 BC.
He died in Alexandra Egypt but, no one really knows when he was born (when the exact date he was born.)
He is famous for his Elements, a presentation in thirteen books of the geometry and other mathematics known in his day.He also was the first person to study geometry.
Who were mathematicians for the time from Euclid to Euler?
If I understand you correctly, you would like us to provide you with a list of mathematicians, no matter their area of concentration, over a two thousand year time period. We're not here to write research papers of that magnitude. If you could narrow your request, you might receive a more satisfying answer.
Euclid posited five axioms, statements whose truth supposedly does not require a proof, as the foundation of his work, the Elements. These still hold for plane geometry, but do not hold in the higher non-euclidean systems. The five axioms Euclid proposed are;
- Any two points can be connected by one, and only one, straight line.
- Any line segment can be extended infinitely
- For any point, and a line emerging from it, a circle can be drawn where the point is the centre and the line is the radius.
- All right angles are equal
- Given a line, and a point not on the line, there is only line that goes through the point that does not meet the other line. (basically, there is only one parallel to any given line)
How are Euclid's concepts useful today?
Euclid is considered one of the greatest thinkers of all time. His Euclidean geometry is still one of the many techniques in Geometry that are taught today. His elements taught plane and solid geometry, algebra as well as number theory.
What is 'the Elements' by Euclid about?
Euclid's thirteen volume work called Elements outlines, explains, and provides the proofs of the basic concepts of mathematics that had been determined by Greek and Egyptian mathematicians by the third century BC. An element is the basic part or principle of anything, an object or an idea. His compilation of the elements of mathematics is still in use over two thousand years later, and remains the foundation of basic geometry taught in schools to this day.
How did Euclid influence some of the developments during the Hellenistic period?
He wrote a text on spherical geometry.
What year did Euclid attend Plato's academy?
Euclid, during his education in Athens around 300 BC, is thought to have been taught by former students of Plato. Although Euclid lived about 100 years later, he learned many of the teachings of Plato and used them in his own teaching at the university in Alexandria, Egypt, and compiled many of them in his writing of Elements.
When were Archimedes Pythagoras and Euclid living in relation?
Euclid is thought to have lived from about 325 to 265 BC. Pythagoras lived approximately 250 years before Euclid, from about 582 to 500 BC.
When and where did Euclid die?
Euclid died around 265 B.C.E., but there is no known record of where he died.
Euclid probably was educated in Athens by pupils of Plato. His chief work, Elements, was used as a school text for 2000 years. A modified version of its first few sections forms the basis of modern high school plane geometry. The first printed edition of Elements was a translation from Arabic to Latin that appeared at Venice in 1482.
How old was Euclid when he died?
Euclid died when he was about sixty years of age.
he lived until he was 60
What is the connection between Euclid and prime numbers?
Euclid (c. 300 BC) was one of the first to prove that there are infinitely many prime numbers.
His proof was essentially to assume that there were a finite number of prime numbers, and arrive at a contradiction. Thus, there must be infinitely many prime numbers.
Specifically, he supposed that if there were a finite number of prime numbers, then if one were to multiply all those prime numbers together and add 1, it would result in a number that was not divisible by any of the (finite number of) prime numbers, thus would itself be a prime number larger than the largest prime number in the assumed list - a contradiction.
