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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.
What has been the impact of euclid work?
Euclid is best known for his work titled Elements, a thirteen-volume textbook on the principles of mathematics. They include treatises on plane geometry (a branch of geometry dealing with plane figures), proportion (the relationship among parts), Astronomy (the study of stars, planets, and heavenly bodies), and music. Although no one knows if all of the work in Elements was Euclid's or if he compiled the mathematical knowledge of his colleagues, the work formed an important part of mathematics for 2,000 years. It constituted the simplest of all geometry definitions, theorems and axioms which could be understood by all. Although the definitions, axioms and theorems were very easy, they were very important for the daily use of mathematics.
