Question

Radhekrishna everybody........

pls explain Euclid's postulates and axioms....​

Answer 1

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$axiom$

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.

$postulate$

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

EUCLID'S POSULATES

• A straight line ay be drawn from any one point to any other point.
• A terminated line can be produced indefinitely.
• A circle may be drawn from any one side to any other side.
• All right angles are equal.
• If a straight line falling on two straight line makes the interior angle on the same side of it taken together less than two right angles then the two lines if produced indefinitely they will intersect each other at a point on the same side where the sum of angles in less than two right angles.

EUCLID'S AXIOMS

• Things which are equal of the same thing are equal to one another.
• If equals are added to equals then the wholes are equal.
• If equals are subtracted from equals then remainders are equal.
• Whole is greater than part.
• Things which coincide each other are equal to one another.
• Things which are double of same thing are equal to one another.
• Things which are half of the same thing are equal to one another.