Question

tell some Euclid's Axioms and Postulates

Answer 1

One interesting question about the assumptions for Euclid's system of geometry is the difference between the "axioms" and the "postulates." "Axiom" is from Greek axíôma, "worthy." An axiom is in some sense thought to be strongly self-evident. A "postulate," on the other hand, is simply postulated, e.g. "let" this be true. There need not even be a claim to truth, just the notion that we are going to do it this way and see what happens. Euclid's postulates, indeed, could be thought of as those assumptions that were necessary and sufficient to derive truths of geometry, of some of which we might otherwise already be intuitively persuaded. As first principles of geometry, however, both axioms and postulates, on Aristotle's understanding, would have to be self-evident. This never seemed entirely quite right, at least for the Fifth Postulate -- hence many centuries of trying to derive it as a Theorem. In the modern practice, as in Hilbert's geometry, the first principles of any formal deductive system are "axioms," regardless of what we think about their truth -- which in many cases has been a purely conventionalistic attitude. Given Kant's view of geometry, however, the Euclidean distinction could be restored: "axioms" would be analytic propositions, and "postulates" synthetic. Whether any of Euclid's original axioms are analytic is a good question.
First Axiom: Things which are equal to the same thing are also equal to one another.
Second Axiom: If equals are added to equals, the whole are equal.
Third Axiom: If equals be subtracted from equals, the remainders are equal.
Fourth Axiom: Things which coincide with one another are equal to one another.
Fifth Axiom: The whole is greater than the part.
First Postulate: To draw a line from any point to any point.
Second Postulate: To produce a finite straight line continuously in a straight line.
Third Postulate: To describe a circle with any center and distance.
Fourth Postulate: That all right angles are equal to one another.
Fifth Postulate: That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side of which are the angles less than the two right angles.

Answer 2

hi Sandhya Rani,.......
here is your answer
axioms :
1.things which are equal to the same thing are also equal to one another
2.if equals are added to the equals the wholes are equal.
3.if equals be subtracted from equals the remainders are equal
4.things which are coincide with one another are equal to one another.
5 the whole is greater than the part
postulates:
1.to draw a straight line from any point to any point.
2.to produce a finite straight line continuously in a straight line
3.to describe a center with any center and distance
4. the all right angles are equal to one another
5.that if a straight line falling on two straight lines makes the interior angles on same side less than two right angles,the straight lines,if produced indefinitely,will meet on that side on which the angles are less that two right angles .....
hope this helps you
make me as brainlest.....