Which statement is not one of the axioms of Euclidean geometry?

In space, there are at least four points that are not in the same plane.

If two planes intersect, then their intersection is a line.

Every plane contains at least two points that lie on the same line.

Given any two points A and B, there is exactly one line AB that passes through them.

Question

Which statement is not one of the axioms of Euclidean geometry?

In space, there are at least four points that are not in the same plane.

If two planes intersect, then their intersection is a line.

Every plane contains at least two points that lie on the same line.

Given any two points A and B, there is exactly one line AB that passes through them.

ybarrap · Answer

Look at the last three, do they seem correct to you?

ybarrap · Answer

Euclid talked about point, lines and planes. The concept of "space: was not really an idea discussed until the discovery of linear algebra, much later.