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concurrent lines are In geometry, three or more lines are said to be concurrent if they intersect at a single point.
theorem
A point is a vertex
a triangular prism
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.