0
Through a given point on a given line there is exactly one line parallel to the given line what does it define?
Wiki User
∙ 13y ago
Playfair Axiom
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What is an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line?
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
To find a segment parallel to another segment and through a given point fold a piece of paper so that the fold goes through the point fold a piece of paper so that thefold goes through the point?
true
How do you write an equation for a line that passes through point and is parallel to the given line?
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
Why don't parallel lines exist in elliptical geometry?
Elliptical geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry was replaced by the statement that through any point in the plane, there exist no lines parallel to a given line. A consistent geometry - of a space with positive curvature - was developed on that basis.It is, therefore, by definition that parallel lines do not exist in elliptical geometry.
What is the equation of the line that passes through (1 2) and is parallel to the line whose equation is 4x plus y - 1 0?
Without an equality sign the given terms can't be considered to be an equation but in general when lines are parallel they have the same slope but different y intercepts.
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 is elliptical geometry and examples?
Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).
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 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.
How do you write an equation that is parallel to a given line and passes through the given point?
Parallel straight line equations have the same slope but with different y intercepts
In hyperbolic geometry how many lines are there parallel to a given line through a given point?
infinitely many
Decide whether the lines given are parallel perpendicular or neither The line through 5 -9 and -8 5 are they parallel perpendicular or neither?
Parallel
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."
What is an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line?
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
how to negate the hyperbolic parallel postulate?
The hyperbolic parallel postulate states that given a line L and a point P, not on the line, there are at least two distinct lines through P that do not intersect L.The negation is that given a line L and a point P, not on the line, there is at most one line through P that does not intersect L.The negation includes the case where there is exactly one such line - which is the Euclidean space.
