EUCLIDS FIVE POSTULATES

INTRODUCTION

Postulates are the assumptions that were specific to the geometry.

THE FIVE POSTULATESFIRST POSTULATE SECOND POSTULATE THIRD POSTULATEFOURTH POSTULATEFIFTH POSTULATE

FIRST POSTULATEA straight line may be drawn from any one point . This postulate tells that at least one straight line passes

through two distinct points , but it does not say that there cannot be more than one such line . But Euclid generally assumed without mentioning that there is a unique line joining two points .

SECOND POSTULATEA terminated line can be produced indefinitely. This postulate shows that what we call a line segment

today was called a terminated line by Euclid .so the postulate says that a line segment can be extended on either side to make a line.

THIRD POSTULATE A circle can be drawn with any centre and any radius. The meaning is very simple , this postulate shows that

using an instrument a circle can be drawn at any plane because the radius remains the same.

FOURTH POSTULATE All right angles are equal.This postulate shows that every right angle is equal and

of 90° and right angles will remain same . So they will be equal .

FIFTH POSTULATEIf a straight line falling on two straight lines makes

the interior angles on the same side of it taken together less the two right angles , then the two straight lines , if produced indefinitely meet on which the sum of angles is less than two right angles

MADE BY : ARYAVARTA GIRI

CLASS : IX “C”ROLL NO. : 13