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What are the achievements of Euclid, a famous mathematician in ancient Greece?
Most of the geometry knowledge we have learned today comes from a mathematical masterpiece called Geometry Elements. Who wrote this math book? Yes, from the ancient Greek mathematician Euclid more than 2000 years ago. Surprisingly, more than 2000 years ago, some people studied abstruse and interesting geometry, which shows Euclid's wisdom at that time.

Euclid's portrait

Although little is known about Euclid's life, here are some stories about Euclid. At that time, people respected Euclid's knowledge and worshipped Euclid as a teacher. There are more and more students, but some just come to participate in this interesting activity and watch others learn geometry. He is here, too. A student asked Euclid, "Teacher, what's the use of learning geometry?" Euclid thought about it, asked someone to give the student some money and said to him, "It seems that you can only learn geometry if you get the money."

It is said that geometry was almost a topic of discussion at that time, and even King Alexander wanted to follow the fashion. So he invited Euclid to the palace to teach him geometry. I don't think the king felt very hard after studying for a while. So he asked Euclid what shortcuts he could take to learn geometry. Euclid said sorry to your majesty, learning geometry is like learning science. There is no shortcut.

Another story of Euclid is about measuring pyramids. At that time, no one knew how high the pyramids were. Some people even say that it is more difficult to measure the pyramids than to ascend to heaven. Euclid smiled and said to others: When your shadow is as high as yours, you can measure the shadow of the pyramid, so you can know how high the pyramid is.

Euclidean space

Euclidean space is a special measure space, called Euclidean space for short. Euclidean space is a generalization of two-dimensional and three-dimensional space studied by Euclid, an ancient Greek mathematician. The so-called generalization is to transform Euclid's length and distance angle into a coordinate system When a linear empty interval defines the inner product, it becomes a European empty interval.

Euclid's portrait

In ancient Greece, people liked to build tall pyramids, but no one knew how high the pyramids were. Some people even say that measuring the height of the pyramid is more difficult than measuring heaven. Euclid smiled and told others that it was not difficult at all. When your shadow is as long as your body, you can measure the height of the pyramid.

Euclid made great achievements in mathematics. Athens was the civilization center of ancient Greece at that time, and Euclid was deeply attracted by the strong cultural atmosphere. Euclid's knowledge of mathematics is so high that countless or even more students worship him as their teacher. Once, a student asked Euclid what advantages he had in studying geometry. When Euclid heard this, he ordered people to give money to students and said, "Unless you have money, you won't study geometry."

As a professor at the University of Alexandria, Euclid was kind and earnest to his students. He will severely criticize those students who refuse to study hard. Because he always remembers Plato's rigorous and realistic style of study. His original geometric content describes his own views and predecessors' thoughts, which is a masterpiece in the history of mathematics.

Euclid's achievements

Euclid was a famous mathematician in ancient Greece. He lives in Alexandria. Euclid made great achievements in mathematical geometry at that time. Numerous students came to worship him as a teacher. Even the king learned the knowledge of Euclid. His attitude towards students is rigorous and modest. He will severely criticize students who are not serious. Euclid was also a member of the Alexandria school. His thoughts and knowledge greatly influenced ancient Greece.

Euclid sculpture

So far, his primitive geometry has been widely used in mathematics. This book is the earliest translated western masterpiece in the history of China. This book contains Euclid's thoughts and records the future development of geometry and mathematics, which caused a sensation at that time. The object of Geometry Elements is geometry, in which Euclid used the axiomatic method of the universe. The so-called axiom is a proposition that does not need to be proved, and all theorems should be derived from it. Since 2000, this method has been called a model of rigorous thinking. It can be said that primitive geometry is a great progress in the development of mathematics.

Euclid made geometry an authoritative and independent subject through his own research and discovery. In fact, he wrote not only the Elements of Geometry, but also other works have been lost. He also wrote "Research Perspective of Optics". He not only studies geometry, but also has great attainments in perspective and conic curve. Since ancient times, Euclid's achievements have left a deep impression on mathematics experts. Euclid's achievements have been known for more than 2000 years. His knowledge and contribution to the development of geometry are unforgettable.