Parabola x=2at, y=at^2 has parameters p, q etc..
M is mid point of chord PQ, T is point on parrabola where tangent is parrallel to PQ and I is point where the tangents at P and Q intersect
M,T,I lie on a vertical line, with T the mid point of MI
The tangent at T bisects tangents PI and QI
What...