The standard form of a parabola in cartesian coordinates is,
where a > 0 and t Î R.
The standard form of the same parabola in polar coordinates
centered at the focus p is,
where s is a unit vector in the i-plane of the parabola. i.e.
s2=1 and sÙi = 0.
Find i,L,s,p,q in terms of a,s1,s2,t.
Hint: Find the location of the vertex x(q0) where the parabola
has maximum curvature and equate [^v](q0) = s2.
x(q) = p + ||