Comment by LegionMammal978
3 hours ago
"The set is not collinear" here means "there is no straight line passing through all the points simultaneously", not "there is no straight line passing through some three points".
3 hours ago
"The set is not collinear" here means "there is no straight line passing through all the points simultaneously", not "there is no straight line passing through some three points".
... yes, I understand.
There's nothing novel here. I feel like I'm taking fucking crazy pills.
Math is like that. But try to put any number of points in some configuration where you can't find some line with only two on it. In this diagram, you can't do an axis-aligned line with more or less than three -- but you can go diagonal and cross only two points. There's always a way to find only two points.
think this way:
EITHER all points are on the same line
OR 2 of the points are on the line only for them