I'm trying to find the coordinates of the implied point p2 using the control points p1 and p3. See here:
In the TTF spec they say:
Connected quadratic curves have first degree continuity and tangent continuity if each curve point is on the line connecting the two flanking control points.
And also the quadratic Bezier curves are defined as follows:
p(t) = (1-t)2p0 + 2t(1-t)p1 + t2p2
Using the fact that the the three points are collinear wouldn't be enough. I need one more equation so that I would be able to express p2 using the other two control points.
I know I'm missing here something rather simple but I can't make it out easily without help.