History of Euclidean Geometry

History of Euclid Geometry | Who was Euclid?

Euclid, often referred to as the “Father of Geometry”, was an ancient Greek mathematician active around 300 BC1. He is best known for his treatise on geometry, the Elements, which established the foundations of geometry that largely dominated the field until the early 19th century....

What is Euclidean Geometry?

These ancient civilizations used geometry mostly for practical purposes and there was little emphasis on the reasoning behind the statements. Euclid thought of geometry as an abstract model of the world. The idea of the points, lines, and shapes was derived from what was seen around in the real world. He studied real-world objects to formalize the concept of solid....

History of Euclidean Geometry

Geometry is widely used in the History of mankind for various purposes, we found artefacts and sites that state that ancient humans have a very deep knowledge of geometry. In one of the earliest cities of the world such as in Harappa and Mohenjo-Daro historians have found that these cities are planned with proper drainage systems and other facilities. This proves that they have a deep understanding of Geometry. Also, one of the wonders of the world the Pyramid of Giza in Egypt, can not be built without the knowledge of Geometry....

Examples of Euclidean Geometry

There are various examples of Euclidean geometry and some of the common examples of Euclidean Geometry include the geometry of,...

Non-Euclidean Geometry

All the geometrical figures that do not come under Euclidean Geometry are studied under Non-Euclidean Geometry. This is the branch of geometry that deals with 3-Dimensional figures, curves, planes, prism, etc. This branch of geometry commonly defines spherical geometry and hyperbolic geometry....

Theorems Proved by Euclid

Euclid’s proofs are outlined in his work “Elements“, where he established the foundation of geometry. While the exact methods may vary for each theorem, I’ll provide a brief overview of how Euclid likely proved each one:...

Euclidean Geometry in Engineering

Euclidean geometry, as laid out by the ancient Greek mathematician Euclid, forms the basis of much of modern engineering, providing fundamental principles and tools for various applications across different engineering disciplines. Here’s how Euclidean geometry intersects with various aspects of engineering:...

Properties of Euclidean Geometry

Various properties of Euclidean Geometry are:...

Elements in Euclidean Geometry

Euclidean Geometry is the work done by the famous mathematician Euclid and is compiled in his book “Elements” consisting of 13 different elements. These Elements are collections of the various definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of these propositions....

Euclid’s Axioms

Euclid’s Axioms which are used to study Euclidean Geometry are:...

Euclid’s Postulates

Euclid has proposed five postulates that are widely used in geometry that are:...

Euclidean Geometry Examples

Example 1: On a straight lines AB, there exists a point C such that, AC = BC. Prove that the line AC is half of the line segment AB....

Euclidean Geometry Class 9

Euclid Geometry is an important concept for CBSE class 9. In Class 9, students typically begin to delve into the fundamental concepts of Euclidean Geometry, laying the groundwork for more advanced studies in later grades. Overall, the Class 9 Euclidean Geometry curriculum provides a solid foundation for further exploration of geometry in higher grades....

FAQs on Euclidean Geometry

What is Euclidean Geometry?...