Euclid's five postulates for class Xth

1. EUCLIDS FIVE POSTULATES

2. INTRODUCTION
Postulates are the assumptions that were
specific to the geometry.

3. THE FIVE POSTULATES
FIRST POSTULATE
SECOND POSTULATE
THIRD POSTULATE
FOURTH POSTULATE
FIFTH POSTULATE

4. FIRST POSTULATE
A 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 .

5. SECOND POSTULATE
A 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.

6. 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.

7. 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 .

8. FIFTH POSTULATE
If 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

9. MADE BY : ARYAVARTA GIRI
CLASS : IX “C”
ROLL NO. : 13

10. MADE BY : ARYAVARTA GIRI
CLASS : IX “C”
ROLL NO. : 13