Yes
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
== == Through any two points there is exactly one straight line.
A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
one plane LINE
False!
Collinear points
There is exactly one line that can pass through two distinct points. This line is uniquely determined by the two points.
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
Unique line assumption. There is exactly one line passing through two distinct points.
Yes, it is true that through any three points, if they are not collinear (not all lying on the same straight line), there exists exactly one line that can be drawn through any two of those points. However, if the three points are collinear, they all lie on the same line, meaning that there is still only one line that can be associated with them. In summary, the statement holds true under the condition that the points are not all collinear.
No, it is not true. Just think of the three vertices of a triangle.
== == Through any two points there is exactly one straight line.
A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.
A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
A chord and the circle's diameter is its largest chord