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Why does a triangles angles always add up to 180 degrees?
It is a consequence of Euclids's parallel postulate.
What is the differences between postulate theorems and converse?
postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.
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 postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
Why does a triangles angles always add up to 180 degrees?
It is a consequence of Euclids's parallel postulate.
How are euclids discoveries being used today?
Euclidean geometry is the study of points, lines, planes, and other geometric figures. The most prolonged argument over time has been that of the parallel postulate which states: there can only be one line that contains a given point and is parallel to another line.
Is hyperbolic parallel postulate a postulate of Euclid?
No, the hyperbolic parallel postulate is not one of Euclid's original five postulates. Euclid's fifth postulate, known as the parallel postulate, states that given a line and a point not on that line, there is exactly one line parallel to the original line that passes through the point. Hyperbolic geometry arises from modifying this postulate, allowing for multiple parallel lines through the given point, leading to a different set of geometric principles.
What is the differences between postulate theorems and converse?
postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.
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.
Which lines or segments are parallel justify your answer with a theorem or postulate?
Parallel lines are parallel. Proof they have same slopes
what postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
Another name for the Playfair Axiom?
parallel postulate
What is another name for the parallel postulate?
Playfair Axiom
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.
Does the parallel postulate in Euclidean geometry work in spherical geometry?
No.
