Question

An axiom in Euclidean geometry states that in space, there are at least two three four five points that do lie in the same plane not lie in the same plane lie on the same line .

Answer 1

The answer is a space contains at least four points that do not lie in a same plane or not all in the same plane. An axiom is a statement or proposition that is observed as being established, accepted, or self-evidently true. In other words, it is any statement or mathematical statement that functions as a starting point from which other statements are logically derived. So this can be found on postulate 1 that states “a line containing at least two points; a plane contains at least three points not all in one line; and a space contains at least four points not all in the one plane.”