Euclid's all axioms I'll mark this as brainlist and plz do follow
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smartykiller
Hello user Euclid's Axioms and Postulates. One interesting question about the assumptions for Euclid's system of geometry is the difference between the "axioms" and the "postulates." ... 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. 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.
Answers & Comments
Euclid's Axioms and Postulates. One interesting question about the assumptions for Euclid's system of geometry is the difference between the "axioms" and the "postulates." ... 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.
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.