Its a presentation about euclid's axioms and its definations
so please everyone see it and save it. It will be very useful for all who is using it.It will provide you about all the information and diagrams related to the euclid's definations and axioms
Its a presentation about euclid's axioms and its definations
so please everyone see it and save it. It will be very useful for all who is using it.It will provide you about all the information and diagrams related to the euclid's definations and axioms
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,.....................
This a power point presentation about Euclid, the mathematician and mainly his contributions to Geometry and mathematics. For the full effects, please download it and watch it as a slide show. All comments and suggestions are welcome.
Mathematics Euclid's Geometry - My School PPT ProjectJaptyesh Singh
The word ‘Geometry’ comes from Greek words ‘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..
The Presentation explains 'The Father Of Geometry' - "Euclid" with his life history and some of his most influential and remarkable works which contribute to The Modern Mathematics.
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
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,.....................
This a power point presentation about Euclid, the mathematician and mainly his contributions to Geometry and mathematics. For the full effects, please download it and watch it as a slide show. All comments and suggestions are welcome.
Mathematics Euclid's Geometry - My School PPT ProjectJaptyesh Singh
The word ‘Geometry’ comes from Greek words ‘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..
The Presentation explains 'The Father Of Geometry' - "Euclid" with his life history and some of his most influential and remarkable works which contribute to The Modern Mathematics.
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
4. 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.
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 ’.
5. Some of the definitions made by Euclid in
volume I of ‘The Elements’are as follows :-
A point is that of which has no part.
A line is a width less length.
A straight line is which lies evenly with the points
on itself
The extremities of lines are called points
A surface is that which has only length and
breadth
The edges of surface are lines
A plane surface is a surface which lies evenly with
straight lines on itself.
6. o Axioms or postulates are the
assumptions which are obvious
universal truths. They are not
proved.
7. SOME OF EUCLID’S AXIOMS ARE :-
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 .
8. 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
9. 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.
10. EUCLID’S POSTULATES WERE :-
POSTULATE 1 :-
A straight line may be drawn from any one point to
any other point
POSTULATE 2 :-
A terminated line can be produced infinitely
POSTULATE 3 :-
A circle can be drawn with any centre and any
radius
POSTULATE 4 :-
All right angles are equal to one another
11. POSTULATE 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.