I have a question about tangency. Whenever I lookup the definition I always see some line in a relation to either a circle or a curved surface. The description I have found of the tangent line is, "touching, but not intersecting."
In this case the tangent line is in relation to another line. I see that 'T' along this line is the point of tangency, and am confused because of the definition I found above. I'm sure there are other, better, definitions of tangency, but it seems in this case our tangent line would be intersecting our line from P0 to P1. Or perhaps is just the difference from starting at one point on the line (the point of Tangency) versus actually going through the line.
Also, just to clarify a tangent line can be finite right? And you could also have a tangent line which is also normal to another line, right?
I have a question about tangency. Whenever I lookup the definition I always see some line in a relation to either a circle or a curved surface. The description I have found of the tangent line is, "touching, but not intersecting."
In this case the tangent line is in relation to another line. I see that 'T' along this line is the point of tangency, and am confused because of the definition I found above. I'm sure there are other, better, definitions of tangency, but it seems in this case our tangent line would be intersecting our line from P0 to P1. Or perhaps is just the difference from starting at one point on the line (the point of Tangency) versus actually going through the line.
Also, just to clarify a tangent line can be finite right? And you could also have a tangent line which is also normal to another line, right?
Thanks in advance!