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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")
What postulate is not of euclidean geometry?
Euclidean Geometry is based on the premise that through any point there is only one line that can be drawn parallel to another line. It is based on the geometry of the Plane. There are basically two answers to your question: (i) Through any point there are NO lines that can be drawn parallel to a given line (e.g. the geometry on the Earth's surface, where a line is defined as a great circle. (Elliptic Geometry) (ii) Through any point, there is an INFINITE number of lines that can be drawn parallel of a given line. (I think this is referred to as Riemannian Geometry, but someone else needs to advise us on this) Both of these are fascinating topics to study.
Is a line parallel to itself?
Two lines are not parallel if they have exactly one point in common; otherwise they are parallel. So this means a line is parallel to itself!
What is the name of the shape formed when two lines are drawn away from a single point?
That is called an angle.
How do you negate the euclidean parallel postulate?
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
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")
How many lines are parallel to a line through a point not on the line?
Exactly one. No more and no less.
What is eullidean geometry?
"Euclidean" geometry is the familiar "standard" geometry. Until the 19th century, it was simply "geometry". It features infinitely divisible space, up to three dimensions, and, most notably, the "parallel postulate": "Given a line, and a point not on the line, there is exactly one line that can be drawn through the point and parallel to the given line."
Through a given point on a given line there is exactly one line parallel to the given line what does it define?
Playfair Axiom
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.
What postulate is not of euclidean geometry?
Euclidean Geometry is based on the premise that through any point there is only one line that can be drawn parallel to another line. It is based on the geometry of the Plane. There are basically two answers to your question: (i) Through any point there are NO lines that can be drawn parallel to a given line (e.g. the geometry on the Earth's surface, where a line is defined as a great circle. (Elliptic Geometry) (ii) Through any point, there is an INFINITE number of lines that can be drawn parallel of a given line. (I think this is referred to as Riemannian Geometry, but someone else needs to advise us on this) Both of these are fascinating topics to study.
Is the tangent of a circle is parallel to the radius drawn to the point of tangency?
Yes it is. Great work!
Is a line parallel to itself?
Two lines are not parallel if they have exactly one point in common; otherwise they are parallel. So this means a line is parallel to itself!
Which statement is trueJax drew a line through point A and point B. Chris also drew a line through the two points.?
The two lines are identical.
What is the name of the shape formed when two lines are drawn away from a single point?
That is called an angle.
Will the graph of a system of parallel lines intersect at exactly 1 point?
Parallel lines don't intersect, no matter how many of them there are.
