10 points on Euclid geometry
Answers
Answer:
Step-by-step explanation:
1 Not much is known about Euclid's life; what is known about him has been derived from information about his contemporaries in which he was mentioned.
2 Euclid is believed to have done most of his work and teachings during Ptolemy I's reign, between323 BC and 283 BC.
3 This knowledge stems from a mention of Euclid by Archimedes, mentioning him as a contemporary and fellow mathematician.
4 His work, Elements, has long been regard as one of the most influential works in mathematics.
5 It was such a profound work that he is rarely called anything other than "the author of Elements" by his peers and later mathematicians.
6 Unlike many works by early researchers and philosophers, Euclid's work has been used as the major canon for teaching mathematics (notably geometry) ever since it was published.
7 It wasn't until the early 20th century that other notable texts became widely used.
8 Even though commentators have stated that Euclid's ideas in Elements are all based on earlier, more simplified principles, until he produced the work there was nothing like it in terms of easy and organized reference.
9 He developed mathematical proofs that are highly regarded for their completeness, and are still in use more than 2,000 years later.
10 Euclid developed the principles of what's known as Euclidean geometry.
11 This type of geometry relies on a small set of axioms rather than lengthy theorems.
12 He had a number of contributions in the areas of perspective, cones and spheres, number theory, and objectivity.
Answer:
1 Euclid's life is only partially known; little is known about him comes from knowledge about his contemporaries, who also mentioned him.
2 The majority of Euclid's writings and lectures are thought to have been completed between 323 BC and 283 BC, during Ptolemy I's rule.
3 Archimedes mentioned Euclid as a contemporary and fellow mathematician, which is how we learned about him.
4 One of the most important works in mathematics, his book Elements, has long been regarded as one of his best works.
5 His classmates and later mathematicians rarely referred to him as anything other than "the author of Elements" because it was such a deep piece of work.
6 Since its publication, Euclid's book has been regarded as the main canon for teaching mathematics, particularly geometry, in contrast to numerous early publications by academics and philosophers.
7 The early 20th century saw the widespread adoption of several significant texts.
8 Despite the claims of commentators that Euclid's theories in The Elements are all founded on earlier, simplier principles, until he wrote the book, there was nothing like it in terms of straightforward organisation.
9 He created mathematical proofs that are still in use more than 2,000 years later and are renowned for being thorough.
10 Euclid established the foundations of what is today referred to as Euclidean geometry.
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