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Lines on a hyperbolic plane are considered to be?
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
Where on the coordinate plane would point (0-5) Lie?
It would lie on the y axis
Is burger vector and dislocation line both lie in one plane in sessile dislocation?
>> Burger vector and dislocation line both not lie in single active slip plane in sessile dislocation.
Where on th coordinate plane would point (0-5) lie?
5
What are three or more points not all of which lie on the same line?
if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane
What is A line and a point not on the line lie in exactly one plane?
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
Does a congruent term describe a line and a point that lie in the same plane?
No, it does not.
A line and two points are guaranteed to be coplanar if?
they lie in the same plane
If points of a line lie on a plane does the whole line lie on the plane?
Yes.
Describe the ideas of point line and plane?
A point is a coordinate on an axis. A line is the connection between two points. A plane is the object of perspective that points and lines lie on.
Can a line lie on a plane?
A straight line MUST lie in a plane. A curved line may or may not.
What line does the point (-16) lie on?
If you mean the point of (-1, 6) then it lies in the 2nd quadrant on the Cartesian plane
Lines on a hyperbolic plane are considered to be?
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
Three what points determine a plane?
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.
Do three lines that intersect at the same point have to be at the same plane?
No they can be Collinear - Points that lie on the same line.
If two lines lie in the same plane and have more than on point in common they must be?
the same line
