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Introduction to Euclids Geometry class 9 Notes Mathematics

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CBSE class 9 Mathematics Chapter 5 Introduction to Euclids Geometry notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Introduction to Euclids Geometry class 9 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 9 Mathematics notes on Chapter 5 Introduction to Euclids Geometry are also available for download in CBSE Guide website.

CBSE Guide Introduction to Euclids Geometry class 9 Notes

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9 Mathematics notes Chapter 5 Introduction to Euclids Geometry

Download CBSE class 9th revision notes for Chapter 5 Introduction to Euclids Geometry in PDF format for free. Download revision notes for Introduction to Euclids Geometry class 9 Notes and score high in exams. These are the Introduction to Euclids Geometry class 9 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.

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CBSE Class 09 Mathematics
Revision Notes

1 Euclid’s Definitions, Axioms and Postulates

2 Equivalent Versions of Euclid’s Fifth Postulate

The Greeks developed geometry is a systematic manner which Euclid (300 B.C.) a Greek mathematician, father of geometry introduced the method of proving mathematical results by using deductive logical reasoning and the previously proved result. The Geometry of plane figure is know as “Euclidean Geometry”.

Axioms :

The basic facts which are taken for granted without proof are called axioms. Some Euclid’s axioms are

(i) Things which are equal to the same thing are equal to one another. i.e.

(ii) If equals are added to equals, the wholes are equal i.e.

(iii) If equals are subtracted from equals, the remainders are equal i.e.

(iv) Things which coincide with one another are equal to one another.

(v) The whole is greater than the part.

Postulates :

Axioms are the general statements, postulates are the axioms relating to a particular field.

Educlid’s five postulates are.

(i) A straight line may be drawn from any one point to any other point.

(ii) A terminated line can be produced indefinitely.

(iii) A circle can be drawn with any centre and any radius.

(iv) All right angles are equal to one another.

(v) 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 angles are less than two right angles.

Statements: A sentence which is either true or false but not both, is called a statement.

eg. (i) 4+9=6 If is a false sentence, so it is a statement.

(ii) Sajnay is tall. This is not a statement because he may be tall for certain persons and may not be taller for others.

Theorems: A statement that requires a proof is called a theorem.

eg. (i) The sum of the angles of triangle is 180o

(ii) The angles opposite to equal sides of a triangles are equal.

Corollary – Result deduced from a theorem is called its corollary.

Introduction to Euclids Geometry class 9 Notes

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CBSE Class-9 Revision Notes and Key Points

Introduction to Euclids Geometry class 9 Notes. CBSE quick revision note for Class-9 Mathematics, Chemistry, Maths, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.

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