I have two parallel lines and I know the coordinates for one of them where it interesects with a horizontal line on the top and a horizontal line on the bottom and the distance between them.
What I am trying to fathom is how to work out the coordinates where the second parallel line intersects with said horizontal lines.
Here is a picture of what I am whittering on about (I want to work out the coordinates labelled H and I circled in blue. All the other coordinates I know are lettered A to G and I show some sample values for the coordinates and the distance between the two lines):
I figured I could take the normal vector and use that to work out two coordinates on the (red) parallel line but that would not be where they intersect with the green (horizontal) lines. Is that a good place to start?
I've been drawing triangles like crazy but I am ashamed to say I do not think I know enough math for this. Is it possible? Do I need another measurement perhaps?