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What is the minimum number of points any line contains?
In Euclidean geometry each line contains a minimum of an infinite number of points. In projective geometry, though, a line may have as few as two points.
What is elliptical geometry and examples?
Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).
What two points are collinear?
Any two points are always collinear, since you can draw a straight line passing through any two points.
Points all in one plane?
Two dimensional geometry.
Is it true that two points are always collinear?
Yes, two points are always collinear. You can draw a line through any two points.
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.
How many lines can be drawn through two fixed points?
In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
What is the minimum number of points any line contains?
In Euclidean geometry each line contains a minimum of an infinite number of points. In projective geometry, though, a line may have as few as two points.
How often do lines intersect 2 points?
In plane Euclidean geometry, only onle line can go through two distinct points.
Through any two points there is exactly one?
== == Through any two points there is exactly one straight line.
What is a segment in geometry?
Two end points.
What is elliptical geometry and examples?
Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).
What two points are collinear?
Any two points are always collinear, since you can draw a straight line passing through any two points.
For any two points A and B on a line there is another point C?
Not necessarily. There need not be in projective geometry, for example.
What is a line in geometry?
the line in geometry is a line segment that never ends
How many distinct lines can be drawn through 2 points?
In plane (Euclidian) geometry there is only one line through two points. On a sphere, every meridian intersects the north and south poles.
Geometry What are Two endpointsand all points between them?
A line
