When was geometry created

There were no major developments in geometry until the appearance of Rene Descartes — In his famous treatise Discourse on the Method of Rightly Conducting the Reason in the Search for Truth in the Sciences , Descartes combined algebra and geometry to create analytic geometry. Analytic geometry, also known as coordinate geometry, involves placing a geometric figure into a coordinate system to illustrate proofs and to obtain information using algebraic equations.

The next great development in geometry came with the development of non-Euclidean geometry. Carl Friedrich Gauss — who along with Archimedes and Newton is considered to be one of the three greatest mathematicians of all time, invented non-Euclidian geometry prior to the independent work of Janos Bolyai — and Nikolai Lobachevsky Non-Euclidian geometry generally refers to any geometry not based on the postulates of Euclid, including geometries for which the parallel postulate is not satisfied.

The parallel postulate states that through a given point not on a line, there is one and only one line parallel to that line. The most recent development in geometry is fractal geometry. A fractal is a geometric shape, which is self-similar invariance under a change of scale and has fractional fractal dimensions. Similar to chaos theory, which is the study of non-linear systems; fractals are highly sensitive to initial conditions where a small change in the initial conditions of a system can lead to dramatically different outputs for that system.

Contact Us. Press Releases. A Brief History of Geometry Geometry began with a practical need to measure shapes. In , German mathematician David Hilbert developed new and more generalized axioms.

Throughout the 20th and 21st centuries, these axioms were applied to a wide variety of mathematical scenarios. Spherical geometry allows calculating areas and angles of spherical surfaces such as star or planet positions in the imaginary sky sphere used by astronomers, or the locations of points on a map. This system does not follow Euclidean rules. In spherical geometry, the sum of angles in a triangle is more than degrees, and the parallel lines ultimately intersect each other.

Previous post. Next post. It is more inclined towards the point of view of an object. Also, projective geometry does not involve any angle measures.

It involves only construction using straight lines and points. A branch of geometry that deals with curved surfaces and investigating geometrical structures, calculating variations in manifolds, and many more. It uses the concepts of differential calculus. It is mainly used in physics and chemistry for various calculations.

Topology is a branch of geometry, which deals with the study of properties of objects that are stretched, resized, and deformed.

Topology deals with curves, surfaces, and objects in a three-dimensional surface or a plane. Check out these interesting articles to know more about the origin of geometry and its related topics. Example 1: Find the area of a circle with radius of 7 units.

Example 3: Find the midpoint of a line that passes through 7,3 and 5,1. Geometry is a branch of math that deals with sizes, shapes, points, lines, angles, and the dimensions of two-dimensional and three-dimensional objects.

Coordinate Geometry is a branch of geometry that deals with the position of a point on a plane. Coordinates are denoted as a set of points like 2,3 , which represents the position of a point on a plane. Coordinate geometry uses the concepts of algebra to do calculations for the distance between any two points and to find the angle between two lines and many more.

In geometry, an angle is a small figure that is formed at a place where two lines intersect. Angle is generally measured in degrees. But in math, angles can be measured in both degrees and radians.

Pythagoras theorem states, in a right-angled triangle, the sum of the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. The hypotenuse is the longest side of a right-angled triangle.

Origins of Geometry The word 'Geometry' is derived from an ancient Greek word 'geometron'. They are, Joining any two points creates a line segment A line c an be extended infinitely. A circle can be drawn with a point as center and a line segment's length as its radius. All right angles are equal to each other. If a line is drawn on two straight lines and the interior angles formed by these two straight lines are less than two right angles, then, these two straight lines which are extended indefinitely meet on the same side on which the sum of the interior angles is less than two right angles.

Geometry Origin 2. Types of Geometry 3.