0
Euclid's first four postulates are:
- A straight line segment can be drawn joining any two points.
- Any straight line segment can be extended indefinitely in a straight line.
- Given any straight line segment, a circle can be drawn havibg the segment as radius and one endpoint as centre.
- All right angles are congruent.
He also had the fifth postulate, equivalent to the parallel postulate. There are various equivalent versions.
- 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.
The fifth postulate cannot be proven and, in fact, it is now known that it cannot be proven and that there are many internally-consistent geometries in which the negations of this postulate are true.
Still curious? Ask our experts.
Chat with our AI personalities
Judy
Coach
FranAdd your answer:
Earn +20 pts
What is postulate 8?
If two points are in a plane, then the line that contains the points is in that plane
What are points and lines in a plane?
Points and lines on the same plane are coplanar.
What are points or lines that are not in the same plane?
If the question is .. " Points and lines in the same plane "? then the anwser is COPLANER
Points that line on the same plane?
Points or lines that lie on the same plane are coplanar.
Can there be four points in one plane?
There can be any number of points on a plane, or even on a line - and any number of lines on a plane.
