Lobachevsky, who was born in a noble family, cultivated his love for mathematics very early and showed his talent. 1807, 15 years old entered Kazan university, and as a result 18 years old obtained a master's degree in mathematics. 1822, this 30-year-old young man became the founder of Kazan University. ?
The geometric theorem at that time was basically based on the mathematician Euclid. ? Parallel lines do not intersect? It comes from the fifth postulate put forward by Euclid in the Elements of Geometry:? If a line segment intersects two straight lines, and the sum of the internal angles of one side is less than the sum of two right angles, then the two straight lines will intersect at the side where the sum of the internal angles and the two right angles is less than each other after continuous extension. ? On this basis, Scottish mathematician Playfair put forward a simpler version, that is, what people learn in textbooks:? Give a straight line. At any point other than this straight line, there is one and only one straight line parallel to it. ?
1826, Lobachevsky proposed a completely different geometric system, which was later called? Hyperbolic geometry? Lobachevsky imagined that on a surface, the geometric properties can be changed, two parallel lines can naturally intersect, and the sum of the internal angles of a triangle can be less than 180 degrees. On March 26th of that year, Lobachevsky published his own achievements at the academic conference of the Department of Physical Mathematics of Kazan University, in front of many famous Russian mathematicians and top experts at that time, with the title of "Strict Proof Summary of Geometric Principles and Parallel Theorems". ?
At the meeting, Lobachevsky's words not only didn't get any response, but were questioned. Some people began to wonder whether he existed in name only. However, in 1829, Lobachevsky who didn't give up was the principal. He continued to publish his paper "Principles of Geometry" to defend his views. Two scholars, Bo Racek and Jie Lie, laughed at Lobachevsky, thinking that he was grandstanding and his talent was totally unworthy of the position of headmaster.
Lobachevsky tried to defend himself, but no one spoke for him in Russia or even in Europe. Under external pressure, Lobachevsky lost the position of principal. In his later years, Lobachevsky was so miserable that no one stood by him academically. Finally, at 1856, the scholar completed the last journey of his life.
However, after 12 years, 1868, the Italian mathematician Bertoni published an article "An Attempt to Explain Non-Euclidean Geometry", which mentioned Lobachevsky's view that non-Euclidean geometry can be realized on space surfaces, and attracted the attention of the outside world. Before long, people realized that Lobachevsky's opinion was about? Can parallel lines intersect? To some extent, it is not wrong. His theory has also been confirmed by mathematics.
However, the scientist has died suddenly, but there are countless honors behind him. People call it? Copernicus in science? The story of this scholar has also made countless people admire.