Who Invented Geometry? [When, Where & How]

Geometry (from the Greek: “earth measurement”) is a branch of mathematics concerned with questions of shape, size, the relative position of figures, and the properties of space. Geometry arose independently in several early cultures, but the main question is: Who invented geometry?

Euclid, a Greek mathematician, invented geometry. He was born in the city of Alexandria, Egypt around 300 BC. He was educated at Plato’s Academy in Athens and taught there for many years. He wrote many books on mathematics and geometry.

The truth is, geometry can be traced farther back than we can imagine. So, continue reading this article and you’ll discover some amazing details about it. Let’s check it together!

Also Read: the inventor of the number zero

Who Invented Geometry and Why?

Euclidean Geometry

Euclid of Alexandria was a Greek mathematician who invented geometry. 

He lived around 300 BC, and his work was hugely influential on the development of mathematics as we know it today.

In fact, Euclid’s Elements is still considered one of the most important mathematical texts of all time. 

It consists of 13 books that describe geometry in terms of a set of axioms and postulates. 

After these are established, Euclid then builds up proofs based on them—proofs that have stood the test of time for thousands of years!

Euclid’s work was so well-known and respected that it became the standard for teaching geometry for over 2000 years. 

His work on triangles, circles, and other shapes continues to be taught in schools today!

Different Types of Geometry and Their Inventions

Geometry is a branch of mathematics that deals with the properties and relations of points, lines, surfaces, curves, and angles. 

It is also known as ‘the science of space’. In ancient times, people used geometry to measure and calculate distances. 

They also used it to design buildings and other structures.

However, geometry evolved over the centuries. The first geometry was developed by the ancient Greeks. 

It included only two types of geometry: Euclidean geometry and non-Euclidean geometry (which includes hyperbolic geometry). 

After that, other types of geometries were invented, including elliptic geometry, projective geometry, and spherical geometry.

Euclidean Geometry

Euclidean geometry is the most commonly used type of geometry. 

It is based on five postulates and a small set of axioms, with which it can be proven that all figures in a Euclidean plane are contained within a finite number of lines (or points).

Euclidean geometry is named after its founder, Euclid, who wrote his Elements around 300 BC. 

This was an attempt to compile all of the known knowledge at the time into a single document. 

It has been used throughout history by mathematicians, astronomers, and engineers to create models for things such as bridges and buildings.

Analytic geometry

Analytic geometry is a type of geometry where we use algebra to describe geometric figures. 

Descartes and Fermat are the ones who invented analytic geometry in the 1630s.

In this type of geometry, we use algebraic formulas to find lengths, areas, and volumes of geometric figures. 

The formulas can be solved by using coordinate systems or by using a Cartesian coordinate system.

This type of geometry makes it easier to solve problems related to triangles, quadrilaterals, and circles because we do not need to use trigonometry or other advanced mathematics techniques.

Fractal Geometry

Benoit Mandelbrot defined fractal geometry. 

He first applied his theory to clouds and other natural phenomena, but then he realized that it could be used for computer-generated art as well.

Fractal geometry is a type of geometry that uses fractals to create new shapes.

Fractals are mathematical objects that are self-similar, meaning that they contain smaller versions of themselves within them. 

The most famous example of this is the Mandelbrot set, which is made up of an infinite number of repeating shapes that look similar but differ slightly in size and position.

Hyperbolic Geometry

Hyperbolic geometry is a branch of geometry that evolved from Euclidean geometry.

In hyperbolic geometry, the sum of the angles in a triangle doesn’t equal 180 degrees. 

So if you were to draw a triangle on a piece of paper, then look at it under a microscope, you would see that there is no way for all three sides to be straight lines.

This is because hyperbolic geometry uses “hyperbolic lines,” which are curved like the surface of a saddle or sphere, instead of straight lines. 

This makes hyperbolic geometry different from Euclidean geometry, where all lines are straight and obey certain rules about how they can be connected together.

Abstract Geometry

Abstract geometry is a type of geometry that focuses on creating a visually pleasing image rather than being mathematically precise. 

It was populated by the Dutch painter Piet Mondrian.

This form of geometry is abstract because it doesn’t try to describe real-world objects or phenomena.

Instead, its focus is on the study of shapes and spatial relationships in abstract terms. 

The relationship between two points is considered to be an entity on its own, separate from any other entities or concepts.

Mondrian believed that art should accurately reflect reality, but he also believed that artists should not be constrained by the rules of perspective or even by any particular medium (such as paint).

Sacred Geometry

Sacred geometry evolved from 2000 BCE to 1000 BCE in Egyptian and Greek cultures, and is based on the idea that God created the universe using a set of geometric shapes. 

It’s believed that these shapes can be found throughout nature, and are used as symbols for things like life and death.

Sacred geometry is used in art and architecture as well as science.

The most famous example of sacred geometry is the Flower of Life, a pattern made up of seven polygons arranged in such a way that they create a flower-like shape. 

This pattern can be found all over the world, from ancient Egypt to ancient Greece, to modern-day Native American cultures.

Differential Geometry

Carl Friedrich Gauss and Gaspard Monge defined differential geometry at the beginning of the 19th century. 

It is often defined as “the study of curves, surfaces, and other geometric objects” from a different point of view – namely, their local properties.

This means that instead of looking at objects from afar, like we do when we look at a sphere or a cube, we look at them up close and examine how they differ from place to place.

Differential geometry has applications in many fields including mathematics, physics, engineering, chemistry, and biology.

Who Invented the Geometry Box?

In the year 1851, Joseph Huddart defined the geometry box. He was a British inventor and engineer who lived from 1821 to 1901. 

He was known for his many inventions, including the steam engine and the steam turbine, as well as his work on metallurgy.

The geometry box is a device that helps people construct geometric shapes, like triangles or squares. 

It has two rods that can be moved up and down, so you can adjust the length of each side of your shape.

Who Made Geometry Dash?

Geometry dash is a mobile game created by Sweden-based developer Robert Topala. 

The game was released on the Google Play Store in October 2013, and it quickly gained popularity. 

It was downloaded more than 10 million times within 24 hours of its release, and more than 100 million times within the first month of release. 

Geometry dash features a wide variety of levels and game modes, as well as a level editor that allows users to create their own levels and share them with others.

Who Invented Geometry Compass?

who invented geometry why

The geometry compass was invented by Galileo Galilei in Padua in 1597 and built by Marcantonio Mazzoleni. 

The geometry compass is a device used to draw circles and arcs, which are essential in geometry. 

The invention of the geometry compass led to an increase in the popularity of geometry and trigonometry, as well as other subjects that use these tools.

Galileo Galilei designed it to be used for drawing circles and straight lines, and he built it with a long, straight body that can be adjusted to different lengths. 

The compass needle is mounted on a ring that can be moved around the body of the instrument.

Who is the Father of Geometry?

Euclid of Alexandria is often mentioned as a man who is the father of geometry. 

However, there is no evidence that he was born in Alexandria, or that he even existed. 

The first mention of Euclid comes from Pappus of Alexandria, who lived around 300 AD.

The Elements was written by Euclid around 300 BC, and it became the standard textbook for geometry for over 2000 years. 

The book contained 13 books on Euclidean geometry, which included many common geometric shapes like triangles and circles.

When Was Geometry Invented?

So, when was geometry first invented? Geometry was invented around 300 BCE by Euclid, although it’s hard to pinpoint exactly when. 

It was a part of the ancient Greeks’ math system and was used in architecture, astronomy, and engineering—all fields that required accurate measurements.

The word geometry comes from Greek: γεωμέτρης (geōmetris), meaning “earth-measurer”. 

Geometry began in ancient Egypt, where it was used to build pyramids and other structures. 

Knowledge of geometry was passed on to ancient Greece and India, then later to Islamic scholars. 

It was used in medieval Europe as early as 1120 CE. By the 18th century, geometry had been extended to three dimensions with the addition of analytic geometry

Today geometry is a branch of mathematics that is used in almost every field of science and technology.

Why Was Geometry Invented?

Many people are wondering why was geometry invented. 

The first attempts at geometry definitions are visible in some early cultures as a body of practical knowledge.

It emerged in Ancient Babylon and spread across Ancient Egypt. 

Later on, Indian mathematicians and traders tried to define the geometry and their attempts were supported by Chinese scientists and silk road traders. 

Finally, Euclid defined geometry around 300 BC.

Geometry has applications in many fields, including art, architecture, physics (especially quantum mechanics), engineering, robotics, and computer graphics.

Who Invented Angles in Maths?

Angles in math are identified by Euclid. Euclid is the greatest mathematician of all time, who wrote a geometry book. 

He defined the term angle as “the inclination to one another of two lines in a plane which meet one another and do not lie straight with each other.”

The first thing about angles Euclid identified is that an angle has to be measured between two lines that meet at a point. 

What Was the First Shape Invented?

The first type of solid shapes to be discovered are known as Platonic solids. 

They were named after the Greek philosopher Plato, who was famous for his work on geometry.

Plato noticed that these five regular polyhedra had many interesting properties in common, including that they could be constructed by rotating a regular triangle in three-dimensional space around one of its vertices.

He also noticed that they had extremely important symbolic significance – each of them is made up of exactly five regular polygons, and each has an equal number of edges, faces, and vertices.

Geometric Terms and Definitions

To bring you closer to geometry, I’m presenting to you the list of basic geometric terms and definitions:

  • Point—A location in space, but not a shape. The points you can see in your room represent the locations of objects and people.
  • Angle—The space between two lines, measured by degrees. 
  • Line—A straight path between two points. You can draw lines on paper with a pen or pencil, but they also exist in the real world. For example, the sides of buildings are lines.
  • Parallel—Two lines that are the same distance apart and never intersect, no matter how far you go along them. 
  • Vertex—The point where two lines meet or the point where a line crosses another line or surface at a right angle.
  • Congruent—Two geometric figures are congruent if they have the same size and shape.
  • Perpendicular—Two lines, rays, or planes are perpendicular if they meet at a right angle.
  • Two-dimensional shape—A shape that exists in two dimensions is a flat surface with length and width but not depth. Examples include squares, rectangles, triangles, circles, and hexagons.
  • Three-dimensional shape—A shape that exists in three dimensions: length, width, and depth. Examples include cubes and spheres.

History of Geometry

The history of geometry is a long and storied one, dating back thousands of years. 

It has been used by mathematicians, philosophers, builders, and artists for centuries, and it continues to be relevant in contemporary times.

Therefore, I’m presenting to you the history of geometry timeline:

  • 2500 BC – Construction of Egyptian Pyramids. Pyramids are some of the oldest structures in the world, and they were built using a complex understanding of geometry.
  • 2000 BC – A Greek mathematician called Heron (or Hero) invented what is now known as Heron’s Formula, which describes how to find an unknown side length when two triangles are similar.
  • 600 BC – Another Greek mathematician named Pythagoras discovered a number pattern called Pythagorean Triples. This pattern can be used to find lengths or areas of right triangles using only whole numbers.
  • 300 BC – Euclid invented geometry and is known as the father of geometry. He wrote several books on the subject and his most famous work, Elements, is still studied today.
  • 200 BC – Archimedes discovered a formula to calculate the volume of cylinders which were not round but had flat sides like pyramids or cones.


Here’s a list of the most frequently asked questions about who invented geometry and how geometry shaped the world we live in today.

Why is Euclid called the father of geometry?

Euclid was a Greek mathematician who lived in Alexandria, Egypt around 300 BC. He is considered the father of geometry because he created the geometry that people do today.

Who created Greek geometry?

Euclid created Greek geometry. He wrote the book Elements, which contains all of the main concepts in geometry, and introduced them to the world. His most famous work is Elements, which is a textbook on geometry in 13 books, first published around 300 BC

Was geometry invented or discovered?

The concept of geometry was discovered and developed throughout the centuries. The word “geometry” comes from the Greek word geometria, meaning “earth measures”.


To sum it up, different cultures around the world contributed to the development of geometry.

The Babylonians, Indians, Chinese, Egyptians, and Arabs all helped lay the foundations of geometry. 

Then later on Greeks such as Euclid, plus Apollonius, Archimedes and others did advanced methods to draw new figures. 

So, all of them can be credited as people who invented geometry.

The point is, the world we live in today wouldn’t exist if geometry wasn’t invented. 

So, if you want to discuss more about it, feel free to leave a comment and I’ll respond shortly.