# Who is Nikolai Ivanovich?

## Who is Nikolai Ivanovich?

The Russian mathematician Nikolai Ivanovich Lobachevskii (1792-1856) was one of the first to found an internally consistent system of non-Euclidean geometry. His revolutionary ideas had profound implications for theoretical physics, especially the theory of relativity.

### What is Nikolai Lobachevsky known for?

Hyperbolic geometry

Nikolai Lobachevsky/Known for

20 November] 1792 – 24 February [O.S. 12 February] 1856) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula.

**What did Nikolai lobachevsky invent?**

Graeffe’s method

Nikolai Lobachevsky/Inventions

**When was Nikolai lobachevsky born?**

December 1, 1792

Nikolai Lobachevsky/Date of birth

Lobachevsky, mathematician, creator of non-Euclidean geometry. November 20 (December 1) 1792, in Nizhny Novgorod was born Nikolai Ivanovich Lobachevsky, Russian mathematician, founder of non-Euclidean geometry, the figure of university education and public enlightenment.

## Who discovered hyperbolic geometry?

In 1869–71 Beltrami and the German mathematician Felix Klein developed the first complete model of hyperbolic geometry (and first called the geometry “hyperbolic”).

### What is elliptic geometry used for?

Applications. One way that elliptic geometry is used is to determine distances between places on the surface of the earth. The earth is roughly spherical, so lines connecting points on the surface of the earth are naturally curved as well.

**Do parallel lines intersect in hyperbolic geometry?**

DEFINITION: Parallel lines are infinite lines in the same plane that do not intersect. In the figure above, Hyperbolic Line BA and Hyperbolic Line BC are both infinite lines in the same plane. They intersect at point B and , therefore, they are NOT parallel Hyperbolic lines.

**Is hyperbolic geometry real?**

In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry.

## How is spherical geometry used in real life?

Spherical geometry is useful for accurate calculations of angle measure, area, and distance on Earth; the study of astronomy, cosmology, and navigation; and applications of stereographic projection throughout complex analysis, linear algebra, and arithmetic geometry.

### What is an elliptic triangle?

Elliptic geometry is sometimes also called Riemannian geometry. It can be visualized as the surface of a sphere on which “lines” are taken as great circles. In elliptic geometry, the sum of angles of a triangle is .