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What does the following means?

Cbarker1

Active member
Jan 8, 2013
241
Dear Everybody,
What does the following means:
Two straight lines cannot have any two points of one coincide with two points of the other without the lines coinciding altogether?

I think it means that line can't overlap with itself.

Thanks,
Cbarker1
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
I take that statement to mean that no two straight lines can have two points in common without being the same line (coinciding).
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
472
In other words, in Euclidean geometry, two distinct lines are either parallel, and have no points in common, or intersect, and have exactly one point in common.