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Yes - except in finite geometries (projective, for example).
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How many line can pass through a point in a plane?
an infinite number
Is it possible to construct an infinite number of lines through a point on any given line?
It is possible to construct an infinite number of lines through any line at a given point. You will not be able to physically draw them, but a filled in circle will all have rays that intersect the line at the same point.
How many planes can intersect a line at a given point?
an infinite number; no limit
What does point on the line mean?
A line is made up of a large (infinite) number of points. When we say a point is on a line, we mean that it is one of the pints that form the line.
What is the maximum number of different rays that can be formed on a line?
Infinitely many. There an infinite number of points on a line and each point can be an end point of two rays.
How many perpendicular lines does a heptagon have?
An infinite number. Each point on a line, however small the line is, can have a perpendicular through it. And since there are an infinite number of points on any line, the answer is an infinite number.
How many line can pass through a point in a plane?
an infinite number
Is it possible to construct an infinite number of lines through a point on any given line?
It is possible to construct an infinite number of lines through any line at a given point. You will not be able to physically draw them, but a filled in circle will all have rays that intersect the line at the same point.
How many planes can intersect a line at a given point?
an infinite number; no limit
What does point on the line mean?
A line is made up of a large (infinite) number of points. When we say a point is on a line, we mean that it is one of the pints that form the line.
What is the maximum number of different rays that can be formed on a line?
Infinitely many. There an infinite number of points on a line and each point can be an end point of two rays.
Does collinear have three points?
Collinear means in the same straight line. And since a line consists of an infinite number of points, collinear has an infinite number of points - not just 3. n the other hand, while any two points must be collinear (they have to both be on the line that joins them), it is always possible to find a third point which is not collinear with the first two (Euclid).
A plane and a line intersect at most in one point?
Yes, except when the line is in the plane. In the latter case, they intersect at each point on the line (an infinite number).
Is one and only one line through one point?
No; there are an infinite number of lines through one point.
How many points are contained in a line?
A point has no size, and a line is of infinite length, so it contains an infinite number of points. It takes only two points to describe or identify a line, but number of points it contains is infinte. Actually, even a line segment has an infinite number, since it is not possible to get two points so close together that another point won't fit between them.
Is there only two radius's in a circle?
Technically there are an infinite number of radii in a circle. A radius is a line from the center of the circle to a point on its edge, and since there are an infinite number of points on a circle's edge there are an infinite number of radii.
What has an infinite number of solutions?
A single equation in two variables is, for example. Its graph is a line, and every point on the line is a solution.
