Sunday, August 16, 2020

these are euclid's five postulates, which were the very first thing that anybody studying geometry learned, for thousands of years.

1. A straight line segment can be drawn joining any two points.
2. Any straight line segment can be extended indefinitely in a straight line.
3. Given any straight lines segment, a circle can be drawn having the segment as radius and one endpoint as center.
4. All Right Angles are congruent.
5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two Right Angles, then the two lines inevitably must intersect each other on that side if extended far enough.

one of them is considered false in the context of the universe we inhabit, today.

don't look it up. which one is it?