Geometry is the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
What is geometry?
Along with arithmetic, geometry is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size and relative position of shapes. Mathematicians working in the field of geometry are called geometers.
Until the 19th century, geometry was devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.
In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Gauss's Theorema Egregium ("Remarkable Theorem"), loosely asserting that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space . This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.
In the late 19th century it was found that parallel postulate-free geometry (non-Euclidean geometry) could be developed without introducing contradictions. The underlying geometry of general relativity is a famous application of non-Euclidean geometry.
Thus, Geometry is the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
To know more about Geometry, check out:
https://brainly.com/question/19241268
#SPJ1
