# NCERT Solutions for Class 9 Maths Chapter 5 – Introduction to Euclids Geometry PDF

## Free PDF of NCERT Solutions for Class 9 Maths Chapter 5 – Introduction to Euclids Geometry

includes all the questions provided in NCERT Books prepared by Mathematics expert teachers as per CBSE NCERT guidelines from wallindia.com To download our free pdf of Chapter 5

Introduction to Euclids Geometry Maths NCERT Solutions for Class 9 to help you to score more marks in your board exams and as well as competitive exams.

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### Euclid's Geometry

Euclid's Geometry, also known as Euclidean Geometry, is considered the study of plane and solid shapes based on different axioms and theorems. The word Geometry comes from the Greek words 'geo’, meaning the ‘earth’, and ‘metrein’, meaning ‘to measure’. Euclid's Geometry was introduced by the Greek mathematician Euclid, where Euclid defined a basic set of rules and theorems for a proper study of geometry. In this section, we are going to learn more about the concept of Euclid's Geometry, the axioms and solve a few examples.

### What is Euclid's Geometry

Euclid's Geometry was introduced by the Father of Geometry i.e. Euclid and is also called Euclidean Geometry. Geometry was originated from the need for measuring land and was studied in various forms in every ancient civilization such as Egypt, Babylonia, India, etc. Euclid's geometry came into play when Euclid accumulated all the concepts and fundamentals of geometry into a book called 'Elements'. This book spoke about the definitions, the axioms, the theorems, and the proof of various shapes. Euclid specifically spoke about the shape, size, and position of solid shapes and various terms associated with them such as the surface, straight or curved lines, points, etc. Some of his fundamentals about solid shapes are :
• A point has no parts.
• A line is a breadthless length.
• The ends of a line are points.
• A straight line is a line that lies evenly with the points on itself.
• A surface has a length and breadth only.
• The edges of a surface are lines.
• A plane surface is a surface that lies evenly with the straight lines on itself.

### Definition of Euclid's Geometry

Euclid's geometry or the euclidean geometry is the study of Geometry based on the undefined terms such as points, lines, and planes of flat spaces. In other words, it is the study of geometrical shapes both plane shapes and solid shapes and the relationship between these shapes in terms of lines, points, and surfaces. Euclid introduced axioms and postulates for these solid shapes in his book elements that help in defining geometric shapes. Euclid's geometry deals with two main aspects - plane geometry and solid geometry.