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Through a point not on a line one and only one line can be drawn parallel to the given line?
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Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
How many lines are parallel to a given line through a given point?
zero
How many lines can be drawn perpendicular to a given like through a point not on the given line?
In Geometry
Given plane A and point C which is not on plane A How many lines can be drawn through point C that are perpendicular to plane A?
400
What is the equation of a line that passes through the point 1 2 and is parallel to the x-axis?
Any equation parallel to the x-axis is of the form:y = constant In this case, you can figure out the constant from the given point.
Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
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.
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
How many lines are parallel to a given line through a given point?
zero
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.
Who restated Euclid's 5th postulate?
Probably the best known equivalent of Euclid's parallel postulate, contingent on his other postulates, is Playfair's axiom, named after the Scottish mathematician John Playfair, which states:In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.
How many lines can be drawn perpendicular to a given like through a point not on the given line?
In Geometry
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 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.
In hyperbolic geometry how many lines are there parallel to a given line through a given point?
infinitely many
Through a given point on a given line there is exactly one line parallel to the given line what does it define?
Playfair Axiom
