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Another name for the Playfair Axiom?
parallel postulate
How do you use postulate in a sentence?
Some branches of quantum physics postulate properties and phenomena that are not observed in classical physics. The Addition Postulate is one of several in geometry that are always accepted as true and correct.
What is another term for translation?
Connection Conversion Transformation Parallel
Which kind of statement distinguishes a term from all other terms A definition B postulate C proof D theorem?
postulate
What are parallel characters?
A parallel character is another character (in the same piece of literature or another) that is very similar if not almost exactly the same as the original character chosen.
Another name for the Playfair Axiom?
parallel postulate
What is another name for the Playfair Axiom?
Another name for the Playfair Axiom is the Euclid's Parallel Postulate. It states that given a line and a point not on that line, there is exactly one line parallel to the given line passing through the given point.
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.
what postulate or theorem guarantees that line L and line N are parallel?
converse of the corresponding angles postulate
Which lines or segments are parallel justify your answer with a theorem or postulate?
Parallel lines are parallel. Proof they have same slopes
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.
Why does a triangle have 180 degree?
It is a consequence of Euclid's parallel postulate. In fact, in some versions, the statement that "a plane triangle has interior angles that sum to 180 degrees" replaces the parallel postulate.
Why the measure of exterior angles is equal to the sum of the measures of interior opposite angles?
That is only true of triangles and is a consequence of the parallel postulate. In fact it is an alternative way of stating Euclid's parallel postulate.
