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Q: Through any two distinct points there exists exactly one line?
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Through any two distinct points there are exists exactly one line?

Yes


Through any three points there exists exactly one plane?

Collinear points


How many points determine exactly one line?

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.


What is the unique line postulate?

Unique line assumption. There is exactly one line passing through two distinct points.


Is geometry it true that through any three points exists exactly one line?

No, it is not true. Just think of the three vertices of a triangle.


Is a CD a cylinder or circle and why?

A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.


Is a CD a circle or a cylinder?

A CD, because it exists in our dimension, has three distinct points you can measure therefor it is a cylinder.


Through any two points there is exactly one?

== == Through any two points there is exactly one straight line.


How many planes can be made to pass through 3 distinct points?

Infinitely many if the 3 distinct points are collinear. Otherwise just 1.


What is a line one that passes through a circle at two distinct points.?

A line that passes through a circle at two distinct points is called a secant.


Is three distinct points always determine a line?

No, because Of any three points on a line there exists no more than one that lies between the other two.


Is there exactly one line through two points?

In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.