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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 lines can pass through two points?
There is exactly one line that can pass through two distinct points. This line is uniquely determined by the two 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.
In it true that through any three points exists exactly one line?
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.
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.
Through any two points there is exactly one?
== == Through any two points there is exactly one straight line.
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.
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.
How many lines can be drawn to a given points?
Through any two distinct points, exactly one straight line can be drawn. If you have more than two points, the number of lines that can be drawn depends on how many of those points are distinct and not collinear. For ( n ) distinct points, the maximum number of lines that can be formed is given by the combination formula ( \binom{n}{2} ), which represents the number of ways to choose 2 points from ( n ). If some points are collinear, the number of unique lines will be less.
How many planes can be made to pass through 3 distinct points?
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
