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No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points.
No, it is not true. If it were true, all triangles would be straight lines !?!
What else can I help you with?
Through any three points there exists exactly one plane?
Collinear 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 it true that any three points are contained in exactly one plane?
Yes, if you are talking about Euclidean geometry.
What are points on a line for geometry?
In coordinated geometry the points on a straight line will determine its equation.
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).
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 three points there exists exactly one plane?
Collinear 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.
Through any two distinct points there are exists exactly one line?
Yes
Through any two distinct points there exists exactly one line?
False!
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.
What is a two points determine exactly one?
In plane geometry, two points determines or defines one unique line.
Through any two points there is exactly one?
== == Through any two points there is exactly one straight line.
Is it true that any three points are contained in exactly one plane?
Yes, if you are talking about Euclidean geometry.
How can you know if the points is collinear points or non collinear points?
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
Do stars in geometry have points?
Yes they do. In geometry, pentacles (stars) have 10 points.
What is the relationship between a triangle, a circle, and a chord that intersects the circle at exactly 7 points?
In geometry, a chord is a line segment that connects two points on a circle. If a chord intersects a circle at exactly 7 points, it means the chord passes through the circle and touches it at 7 different points. This relationship between a triangle, a circle, and a chord with 7 points of intersection is a geometric concept that demonstrates the properties of circles and their chords.
