Maths presentation pls select it . It would be very useful for all. It is about the axioms and euclid's definitions. its an animated presentation pls download it and see . i got 1st prize for it,.....................

1. EUCLID
GEOMETRY
PRESENTEDBY:-
Ix A1 STARS

2. INTRODUCTION TO EUCLID
GEOMETRY

3. CONTENTS

4. INTRODUCTIONThe word ‘Geometry’comes from Greek word ‘geo’
meaning the ‘earth’and ‘metrein’meaning to ‘measure’.
Geometry appears to have originated from the need for
measuring land.
Nearly 5000 years ago geometry originated in Egypt as an
art of earth measurement. Egyptian geometry was the
statements of results.
The knowledge of geometry passed from Egyptians to the
Greeks and many Greek mathematicians worked on
geometry. The Greeks developed geometry in a systematic
manner.

5. Euclid was the first Greek Mathematician who initiated a
new way of thinking the study of geometry.
He introduced the method of proving a geometrical result
by deductive reasoning based upon previously proved result
and some self evident specific assumptions called AXIOMS.
The geometry of plane figure is known as ‘ Euclidean
Geometry ’. Euclid is known as the father of geometry.
His work is found in Thirteen books called ‘ The
Elements ’.

6. EUCLID’S DEFINITONS
Some of the definitions made by Euclid in volume I of
‘The Elements’that we take for granted today are as follows
:-
 A point is that which has no part
 A line is breadth less length
 The ends of a line are points
 A straight line is that which has length only

7. CONTINUED…...
The edges of a surface are lines
A plane surface is a surface which lies
evenly with the straight lines on itself
o Axioms or postulates are the assumptions
which are obvious universal truths. They
are not proved.

8. EUCLID’S AXIOMS
SOME OF EUCLID’S AXIOMS WERE :-
 Things which are equal to the same thing are equal to one
another.
i.e. if a=c and b=c then a=b.
Here a, b and c are same kind of things.
 If equals are added to equals, the wholes are equal.
i.e. if a=b and c=d, then a+c = b+d
Also a=b then this implies that a+c = b+c .

9. CONTINUED…..
If equals are subtracted, the remainders are equal.
Things which coincide with one another are equal
to one another.
Things which are double of the same things are
equal to one another

10. CONTINUED…..
The whole is greater than the part. That is if a > b
then there exists c such that a =b + c.
Here, b is a part of a and therefore, a is greater than
b.
Things which are halves of the same things are
equal to one another.