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One important event in Euclid's life was the establishment of his school in Alexandria, Egypt, around 300 BCE, where he taught geometry and mathematics. This was significant as it allowed him to compile and organize existing mathematical knowledge, culminating in his famous work, "Elements," which laid the foundation for modern geometry and influenced mathematics for centuries. Although little is known about his personal life, this period marked the peak of his contributions to the field.

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Who is eucilid?

Euclid is one of the worlds greatest mathematician


What is a Euclid's definition of a point?

a point has one line and two vertices


What was Euclid like?

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."


Why is the parallel axiom in Euclid's geometry false in non-Euclidian geometry?

Euclid's parallel axiom is false in non-Euclidean geometry because non-Euclidean geometry occurs within a different theory of space. There may be one absolute occurrence in non-Euclidean space where Euclid's parallel axiom is valid. Possibly as some form of infinity.


Is hyperbolic parallel postulate a postulate of Euclid?

No, the hyperbolic parallel postulate is not one of Euclid's original five postulates. Euclid's fifth postulate, known as the parallel postulate, states that given a line and a point not on that line, there is exactly one line parallel to the original line that passes through the point. Hyperbolic geometry arises from modifying this postulate, allowing for multiple parallel lines through the given point, leading to a different set of geometric principles.

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