Is there any relationship between the number of points and the number of lines in geometry?
by 
Anonymous
ANSWERS: 3
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Yes.
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Do you mean the number of vertices? Otherwise, there are always an infinite number of points on a line.
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If we talk about the Euclidean plane, there are an infinite number of lines and points. But the two infinites are equal, meaning the lines and points can be put into a one-to-one correspondence with each other. This infinity is larger, however, than the number of integers, because no such one-to-one correspondence exists.
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