Solve for point on intersecting lines.

[jrad]

Hi, first time here. I started messing around with some simple animation program and I'm trying to create a design with angles.

Note: Coordinates for program are X-axis increases as it moves right and Y-axis increases as it moves down (different than normal x/y axis).

I start with a certain angle at point A (0,0) and choose an angle and draw line to boundary of box to B(14,7). Using same angle draw another line to point C (7,7) and so on to D(0,7) and continuing to F(7,0). The lines intersect at point E. I'm trying to find the coordinates for Pt E(?,?) with a formula.

You can view the image here. Any help is greatly appreciated.

https://docs.google.com/drawings/pub?id=1CtgzIsJl3uZ-pRwWnu95EEQqAdOX7duiWZhBmHLFmoM&w=960&h=720

Best.

jeremy

 

[pka]

Hi, first time here. I started messing around with some simple animation program and I'm trying to create a design with angles.

Note: Coordinates for program are X-axis increases as it moves right and Y-axis increases as it moves down (different than normal x/y axis).

I start with a certain angle at point A (0,0) and choose an angle and draw line to boundary of box to B(14,7). Using same angle draw another line to point C (7,7) and so on to D(0,7) and continuing to F(7,0). The lines intersect at point E. I'm trying to find the coordinates for Pt E(?,?) with a formula.

You can view the image here. Any help is greatly appreciated.

https://docs.google.com/drawings/pub?id=1CtgzIsJl3uZ-pRwWnu95EEQqAdOX7duiWZhBmHLFmoM&w=960&h=720

You diagram is hopeless from a mathematical point-of-view. The coordinates are impossible to follow.
Do you understand coordinate systems?

 

[srmichael]

The firewall on my work computer is preventing me from seeing the image. Maybe that's a good thing based on what Denis and PKA say.

 

[HallsofIvy]

The problem is that you say "Coordinates for program are X-axis increases as it moves right and Y-axis increases as it moves down", which would be standard for computer graphics, but what you show is much more complicated than that. The four different points, B, C, D, and F, all have second coordinate 7 but clearly are not on a straight line. And the lines corresponding to either x= 7 or y= 7 cannot contain all four points.