# NCERT Book Class 9th Maths Chapter 5 Introduction To Euclid’s Geometry PDF Download

Class 9th Maths Chapter 5 – Download NCERT Book Introduction To Euclid’s Geometry Class 9th PDF to your device directly without any ads or redirect.

PDF Name Introduction To Euclid’s Geometry – NCERT Book Class 9th Maths Chapter 5 9 0.7 MB English
PDF PREVIEW

## Introduction to Class 9th Maths Chapter 5

The Class 9th Maths Chapter 5 “Introduction to Euclid’s Geometry” and provides an overview of the history and basic concepts of geometry. The chapter begins by defining the word “geometry” and its origins in the Greek language. It then introduces Euclid, a Greek mathematician who wrote a book called “Elements” that divided geometry into thirteen chapters.

The chapter goes on to discuss Euclid’s approach to geometry and how it influenced the world’s understanding of geometry for generations to come. Finally, Introduction To Euclid’s Geometry class 9 PDF briefly touches on the five postulates of Euclidean geometry, with a focus on the fifth postulate, which is more complex than the others.

## What will you learn from this chapter?

In this Class 9th Maths Chapter 5 Introduction to Euclid’s Geometry, you will learn about the history and basic concepts of geometry. Specifically, the chapter will introduce you to Euclid, a Greek mathematician who wrote a book called “Elements” that divided geometry into thirteen chapters. You will also learn about Euclid’s approach to geometry and how it influenced the world’s understanding of geometry for generations to come.

Additionally, the chapter briefly touches on the five postulates of Euclidean geometry, with a focus on the fifth postulate, which is more complex than the others

### Who was Euclid and what was his contribution to geometry?

Euclid was a Greek mathematician who wrote a book called “Elements” that divided geometry into thirteen chapters. His contribution to geometry was significant, as his book influenced the world’s understanding of geometry for generations to come.

### What is the origin of the word “geometry” and what does it mean?

The word “geometry” has its origins in the Greek language. It comes from the words “geo,” meaning earth, and “metron,” meaning measure. Therefore, geometry means “earth measurement.”

### What is the book “Elements” and how did it influence the world’s understanding of geometry?

“Elements” is a book written by Euclid that divided geometry into thirteen chapters. It influenced the world’s understanding of geometry for generations to come by providing a systematic approach to the subject.

### What are the five postulates of Euclidean geometry and why is the fifth postulate more complex than the others?

The five postulates of Euclidean geometry are the basic assumptions upon which the entire system of Euclidean geometry is built. The fifth postulate is more complex than the others because it is not as self-evident as the first four.

### Why are the definitions of point, line, and plane not accepted by mathematicians today?

The definitions of point, line, and plane are not accepted by mathematicians today because they are too vague and imprecise.

### What is the significance of proving that a point C is the mid-point of a line segment AB?

Proving that a point C is the mid-point of a line segment AB is significant because it allows us to divide the line segment into two equal parts.

### How can we prove that every line segment has one and only one mid-point?

We can prove that every line segment has one and only one mid-point by using a proof by contradiction.

### Why is Axiom 5 considered a “universal truth” in Euclid’s axioms?

Axiom 5 is considered a “universal truth” in Euclid’s axioms because it is not as self-evident as the first four.

### How does Euclid’s approach to geometry compare to present-day geometry?

Euclid’s approach to geometry is different from present-day geometry in that it is more deductive and relies heavily on axioms and postulates.

### What practical problems did ancient civilizations face that required the development of geometry?

Ancient civilizations faced practical problems that required the development of geometry, such as redrawing boundaries after flooding, constructing canals and pyramids, and using geometry in their architecture.