00:01
Okay, so the question here is to find the error in the statement that we're given in this problem.
00:08
And the statement is if there is a line and a point not on the line, then there is exactly one line through the point that intersects the given line.
00:18
Okay, so let's draw this out first, and then it'll be pretty straightforward as to where the error is.
00:25
So if we have a line, all right, i'm sorry if that isn't very straight, but okay, if we have a line like this and a point not on a line, then there, then the statement says there's only one way there's like a line through the point that intersects our given line.
00:45
However, this is clearly not true.
00:48
I'm going to use blue.
00:50
There's an infinite number of ways you can draw a line through the point that intersects our given line.
00:56
Like here's one way, two ways, three ways, four ways, five ways, right? there's an infinite number of ways to do that, right? so clearly there isn't just one way because we've already found five different ones and you can draw infinitely many more just like all along these points through the line.
01:18
So that's the error...