> Andrew - I like your idea of the simultaneous equations and am going
> to have a look at getting an equation set that will do this for me and
> save having to do a lot of processing of midpoints (this could get
> slow for a large number of polygons).

For two non-parallel line segments (ab & cd) in the same plane, their
intersection "z" can be found with:

var x0=b.x-a.x;
var x1=c.x-d.x;
var y0=b.y-a.y;
var y1=c.y-d.y;

var z0=a.x*b.y-b.x*a.y;
var z1=d.x*c.y-c.x*d.y;

var z={};

z.x=(x0*z1-x1*z0)/(x0*y1-x1*y0);
z.y=(y0*z1-y1*z0)/(x0*y1-x1*y0);

If "z" is contained by both ab & cd, the line segments intersect.

z.x must be between a.x and b.x
z.x must be between c.x and d.x
z.y must be between a.y and b.y
z.y must be between c.y and d.y

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