NCERT Solutions Class 9 Maths Chapter 5 Introduction to Euclid's Geometry

 

Introduction :

In this chapter we will learn about Introduction to Euclid's Geometry. We will discuss Euclid's approach to geometry and will try to link it with the present day geometry.

7 of Euclid's axioms, are given below.

1. Things which are equal to the same things are equal to one another.
2. If equals are added to equals, the wholes are equal.
3. If equals are subtract from equals, the remainders are equal.
4. Things which coincide with one another are equal to one another.
5. The whole is greater than the part.
6. Things which are double of the same things are equal to one another.
7. Things which are halves of the same things are equal to one another.

5 of postulate are given below.

1. A straight line may be drawn from any one point to any other point.
2. A terminated line can be produced indefinitely.
3. A circle can be drawn with any center and any radius.
4. All right angles are equal to one another.
5. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles. You will learn at least two postulate and all axioms.

NCERT Class 9 Maths Chapter 5 Introduction to Euclid's Geometry :

• NCERT Class 9 Maths Chapter 5 Introduction to Euclid's Geometry Exercise 5.1
• NCERT Class 9 Maths Chapter 5 Introduction to Euclid's Geometry Exercise 5.2

 

NCERT Solutions Class 9 Maths Chapter 5 Introduction to Euclid's Geometry Exercise 5.1

In this Exercise-5.1 we will learn about Introduction to Euclid's Geometry. Euclid's definitions, Axioms and postulates. You know its boundaries are called surfaces. The boundaries of the surface are curves or straight lines. These lines end in points.

7 of Euclid's axioms, are given below.

1. Things which are equal to the same things are equal to one another.
2. If equals are added to equals, the wholes are equal.
3. If equals are subtract from equals, the remainders are equal.
4. Things which coincide with one another are equal to one another.
5. The whole is greater than the part.
6. Things which are double of the same things are equal to one another.
7. Things which are halves of the same things are equal to one another.

5 of postulate are given below.

1. A straight line may be drawn from any one point to any other point.
2. A terminated line can be produced indefinitely.
3. A circle can be drawn with any center and any radius.
4. All right angles are equal to one another.
5. If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

 

NCERT Solutions Class 9 Maths Chapter 5 Introduction to Euclid's Geometry Exercise 5.2

In this Exercise-5.2 we will learn about Introduction to Euclid's Geometry. Equivalent versions of Euclid's fifth postulate.

Two distinct intersecting lines cannot be parallel to the same line.

 

NCERT Class 9 Maths Chapter 5 Introduction to Euclid's Geometry :

• NCERT Class 9 Maths Chapter 5 Introduction to Euclid's Geometry Exercise 5.1
• NCERT Class 9 Maths Chapter 5 Introduction to Euclid's Geometry Exercise 5.2