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Yes, all geometry planes are infinite and have lines going in every direction, except it doesn't look like that when you see a grid because they only need to include some information for a certain part of a line of the plane. All lines go forever in each direction (left and right), and a grid is made up of lines.
Wiki User
∙ 12y ago
Wiki User
∙ 9y agoThe answer below is not wholly accurate. In projective geometry, the plane has only a finite number of points and a finite number of lines.
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Can three lines intersect a on point?
Yes, in Euclidean geometry, an infinite number of lines can meet at one point.
How many lines contain n points with no 3 points collinear?
None. In ordinary geometry, a line contains an infinite number of points and, by definition, they are all collinear. In projective geometry, however, you can have three lines in the form of a triangle. Each line has only two points on it, so it cannot have 3 points collinear.
What has infinite length but no width no thickness and no endpoints?
It is the parallel lines in Geometry!
Can three coplanar lines intersect twice?
In Euclidean planar geometry, not unless they're collinear, in which case they intersect an infinite number of times. In other types of geometry ... maybe.
In elliptical geometry do two points not determine a unique line?
No. In spherical elliptical geometry, for example, given the earth's North and South poles, there are an infinite number of lines of longitudes between them.
How many lines can a plane contain?
infinite number of lines
Can three lines intersect a on point?
Yes, in Euclidean geometry, an infinite number of lines can meet at one point.
How many lines contain n points with no 3 points collinear?
None. In ordinary geometry, a line contains an infinite number of points and, by definition, they are all collinear. In projective geometry, however, you can have three lines in the form of a triangle. Each line has only two points on it, so it cannot have 3 points collinear.
What has infinite length but no width no thickness and no endpoints?
It is the parallel lines in Geometry!
Can three coplanar lines intersect twice?
In Euclidean planar geometry, not unless they're collinear, in which case they intersect an infinite number of times. In other types of geometry ... maybe.
In elliptical geometry do two points not determine a unique line?
No. In spherical elliptical geometry, for example, given the earth's North and South poles, there are an infinite number of lines of longitudes between them.
How many lines can contain a given point?
infinite
How many lines of symmetry does a cyilder have?
A cylinder has an infinite number of lines of symmetry (because a circle has an infinite number of lines of symmetry).
How many semicircles run from pole to pole?
Geometry teaches there are an infinite number of semi-circles for a sphere. Hence in the grid system that creates the longitude lines that form semi-circles, it becomes the same as what is taught in geometry = infinite number. If you limit yourself to using a llimited definition to units of whole degrees, then 360 semi-circles. However, I suspect that the answer you need is Infinite.
Does a plane has an infinite number of lines?
Yes the lines within the Cartesian plane are infinite
How many lines of symmetry have a sphere?
A sphere has an infinite number of lines of symmetry
How many lines can contain a line and a point not on the line?
In plane geometry a line is a two dimentional object between two points. If a line or a point is not on the line it, by definition, does not contain them. The answer therefor is infinite. Unless it is a closed line which has a slightly different definition but the answer is the same.
