Question

Mention any two difference between axioms and postulate

Answer 1

Answer:

The distinction between a postulate and an axiom is that a postulate is about the specific subject at hand, in this case, geometry; while an axiom is a statement we acknowledge to be more generally true; it is in fact a common notion.Postulates

1. Grant the following:

1. To draw a straight line from any point to any point.

2. To extend a straight line for as far as we please in a straight line.

3. To draw a circle whose center is the extremity of any straight line, and whose radius is the straight line itself.

4. All right angles are equal to one another.

5. If a straight line that meets two straight lines makes the interior angles on the same side less than two right angles, then those two straight lines, if extended, will meet on that same side.

Parallel lines

(That is, if angles 1 and 2 together are less than two right angles, then the straight lines AB, CD, if extended far enough, will meet on that same side; which is to say, AB, CD are not parallel.)

Axioms or Common Notions

1. Things equal to the same thing are equal to one another.

2. If equals are added to equals, the wholes will be equal.

Equals added to equals.

3. If equals are taken from equals, what remains will be equal.

Equals subtracted from equals.

4. Things that coincide with one another are equal to one another.

5. The whole is greater than the part.

6. Equal magnitudes have equal parts; equal halves, equal thirds,

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