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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
What is the location of Alexandria today?
Alexandria is the chief port of Egypt, centrally located on the Mediterranean, about 135 miles northwest of Cairo.
What is meant by 'other fields of study'?
A field of study is an area that someone concentrates on learning about. Another field of study would be different from the first one.
How does Euclid affect the world today?
Euclid's influence persists today through his foundational work in geometry, particularly his book "Elements," which systematically presented the principles of geometry and introduced axiomatic reasoning. This framework laid the groundwork for modern mathematics and logic, impacting fields such as physics, engineering, and computer science. Additionally, Euclidean geometry remains central to education, shaping how mathematical concepts are taught worldwide. His approach to problem-solving and reasoning continues to inspire critical thinking and analytical skills in various disciplines.
Does fifth postulate of Euclid imply the existence of parallel lines?
Yes.
According to Euclid's 5th postulate, when n line falls on l and m and if
, producing line l and m further will meet in the side of ∠1 and ∠2 which is less than
If
The lines l and m neither meet at the side of ∠1 and ∠2 nor at the side of ∠3 and ∠4. This means that the lines l and m will never intersect each other. Therefore, it can be said that the lines are parallel.
Why is the postulate 5 in the Euclid axiom considered to be universal truth?
It is NOT considered a universal truth. It used to be, because mathematicians considered it to be "self-evident", but more recently, mathematical systems both with and without the parallel axiom have been developed. It turns out the "non-euclidian geometries" are very useful. In the real world, the euclidian geometry does NOT apply - although in many cases it is a good approximation.
How can we rewrite Euclid's fifth postulate?
Euclid's fifth postulate: If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.
It can be rewritten: If two lines are drawn which intersect a third at angles of 90 degrees, the two lines are parallel and will not intersect each other.
It has also been rewritten as Playfair's axiom:In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.
Give an outline of the major milestones in mathematics from euclid to euler?
Many ideas of mathematics began to form. During this time frame people began to see math as important and so many thinkers spent time trying to solve the worlds problems using math.
About education of Euclid of Alexandria?
He was said to have attened Ptolemy I at his newly founded school after studying at Platos university.
What is the history of mathematicians 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.
No one really knows what Euclid of Alexandria is like. Most of the documentation about Euclid himself was written after his death by Proclus and Pappus of Alexandria. Very little is known about him, no one even knows the physical appearance of Euclid.
According to some of his quotes, Euclid could have been a kind, patient man with a bit of sarcasm. King Ptolemy once asked Euclid if there was an easier way to study math than Elements, to which he then replied, "Sire, there is no royal road to geometry," and sent one of the most powerful kings off to study. On another occasion, a student of his questioned the value of learning geometry, asking, "What do I get by learning these things?" Euclid responded by summoning a slave and replying, "Give him three pence, since he must make a gain of what he learns."
When did Ptolemy teach Euclid Math?
Euclid lived during the reign of Ptolemy I and wrote an work made comprised of 13 volumes called Elements. As ruler during his reign (323-283 BC), Ptolemy personally sponsored Euclid, but found his work to hard to comprehend. Once, when Ptolemy asked of Euclid if there was no shorter road to geometry than the Elements, he replied, "Sire, there is no royal road to geometry."
It is believed though not proven that Euclid may have studied at Plato's Academy in Greece.
Euclid wanted to prove things were true by using logic and reasoning.
What did Euclid of Alexandria teach?
euclid taught mathmetics which is a fancy way of saying MATH! NOW CAN SOMEONE ELSE PLEASE ANSWER THIS, THIS IS FOR HPMEWORK
