state euclids all axioms and postulates seperately
no links please
Axioms:
1- Things which are equal to the same thing are equal to one another.
2- If equals are added to equals, the wholes are equal.
3- If equals are subtracted from equals, the remainders are equal.
4- Things which coincide with one another are equal to one another.
5- The whole is greater than the part.
6- Things which are halves of the same things are equal to one another.
7- Things which are double of the same things are equal to one another.
Postulates:
1- A straight line can be drawn from any one point to any other point.
2- A terminated line can be produced indefinitely.
3- A circle can be drawn with any centre and any radius.
4- All right angles are equal to one another.
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 the angles is less than two right angles.
Hope this helps!!!
1- Things which are equal to the same thing are equal to one another.
2- If equals are added to equals, the wholes are equal.
3- If equals are subtracted from equals, the remainders are equal.
4- Things which coincide with one another are equal to one another.
5- The whole is greater than the part.
6- Things which are halves of the same things are equal to one another.
7- Things which are double of the same things are equal to one another.
Postulates:
1- A straight line can be drawn from any one point to any other point.
2- A terminated line can be produced indefinitely.
3- A circle can be drawn with any centre and any radius.
4- All right angles are equal to one another.
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 the angles is less than two right angles.
Hope this helps!!!