> Given parallel straight lines l and m in Euclidean space, the following properties are equivalent:
Every point on line m is located at exactly the same (minimum) distance from line l (equidistant lines).
Line m is in the same plane as line l but does not intersect l (recall that lines extend to infinity in either direction).
When lines m and l are both intersected by a third straight line (a transversal) in the same plane, the corresponding angles of intersection with the transversal are congruent.
So, I asked a question about how to find if three lines are concurrent. I built the algorithm I needed, and it was working well, until I started doubting my power of judgement. So my question:
Are two equal lines also intersecting?
For an example, $9x+9y=9$; $7x+7y+7$ ? Because now, if I would...
In a lecture the professor drew two lines, a and b, parallel to each other. The professor then asked if line a is parallel to itself.
The students said no because the definition of a parallel line is that it never cuts another line and a cuts itself all the way through.
The professor said that ...
Suppose I have $2$ points in a 3D coordinate space.
Say $p_1=(5,5,5)$, $p_2=(1,2,3)$.
How do I find the slope of the line joining $p_1$ and $p_2$?
After getting the slope (which I assume will be an integer) how do I get the coordinates of any other arbitrary point on this line?
I do understan...
