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The postulate that pertains to a line is:
- For any two points there exists only one line.
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what postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
What are the two kinds of geometry?
euclidean Geometry where the parallel line postulate exists. and the is also eliptic geometry where the parallel line postulate does not exist.
If there is a line and a point not on the line then there is exactly lines trough the point parallel to the given line?
This is Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.
What was Euclid's second postulate?
Euclid's second postulate allows that line segment to be extended farther in that same direction, so that it can reach any required distance. This could result in an infinitely long line.
What is postulate 8?
If two points are in a plane, then the line that contains the points is in that plane
what postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
What is the perpendicular postulate?
The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the given line.
What is postulate 9?
Postulate 9 is- If two planes intersect, then their intersecion is a line
What was A postulate that was developed and accepted by greek mathematicians?
One postulate developed and accepted by Greek mathematicians was the Parallel Postulate, which stated that given a line and a point not on that line, there is exactly one line through the point that is parallel to the given line. This postulate was crucial in the development of Euclidean geometry. However, it was later discovered that this postulate is not actually necessary for generating consistent geometries, leading to the development of non-Euclidean geometries.
What are the two kinds of geometry?
euclidean Geometry where the parallel line postulate exists. and the is also eliptic geometry where the parallel line postulate does not exist.
What is a distance postulate?
The distance postulate is such: the shortest distance between two points is a line.(xy, x-y) The distance postulate is such: the shortest distance between two points is a line.(xy, x-y)
If there is a line and a point not on the line then there is exactly lines trough the point parallel to the given line?
This is Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.
Through a point not on the line exactly one line can be drawn parallel to the?
... given line. This is one version of Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.
A number associated with a number on the number line?
Segment position postulate
What was Euclid's second postulate?
Euclid's second postulate allows that line segment to be extended farther in that same direction, so that it can reach any required distance. This could result in an infinitely long line.
What is the unique line postulate?
Unique line assumption. There is exactly one line passing through two distinct points.
Through a given point not on a given line there is exactly one line parallel to the given line?
The Playfair Axiom (or "Parallel Postulate")
