What is a curved space?
Any space that is not entirely flat is called curved space. The surface of the ball is a curved space, as well as the surface of the saddle. The ball is an example of a positive curvature, which means that if a triangle is made with direct lines in a curved area, the angles will add up to more than normal 180 degrees. The saddle is an example of a negative curved locked. Gravity is the cause of the curvature of the space - the mass curve of the space that forces objects to join. This mathematical formula uses the length of each side of the triangle instead of the angles. If the lengths match what the sentence states, then the triangle is in the flat space. If the lengths do not match exactly with the sentence, then the triangle is in the curved area. The angles are difficult to measure over long distances, but measurement of the sides or perimeter of the triangle can easily display the nature of the space.
Euclidean geometry is a study of shapes in FLVA of the universe. It is based on the list of basic information called axioms, and proves many mathematical koNcepts such as Pythagor's sentence. Axioms are often refuted, which means that they are not always true, in a curved area or non -calculated geometry. All triangles have 180 degrees in Euclidean geometry, which can be easily refuted in a curved area by measuring each angle with a protractor.
The curved space plays an important role in modern astronomy. Gravity is considered a curved space surrounding a large body that causes smaller objects in orbit or knocks with a large body. This was not discovered until Einstein published his theory of general relativity, which first described gravity as a curved space. Before that, astronomers calculated the orbits inaccurately because the space was considered a three -dimensional Euclidean shape. Modern astronomers can calculate and anticipate much more with non-Euklitean Space, like black holes and how they move galaxies.
Even the father of physics, Isaac Newton, used Euclidean geometry. It was the only way to study shapes for more than 2000 years. Then, at the end of the 19th century, Janos Ballyai was refuted by axiom, which never crossed the parallel lines. Einstein was able to understand the non -elicit geometry and how it could be used to predict the bizarre orbit of the mercury. The modern view is that real Euclidean shapes exist only in the premises far from any gravitational body.