# Profile of a large drop

In class we derived the profile $z(x)$ of a large drop as being:
$\sigma_{lv}(\frac{1}{\sqrt{1+\dot{z}^2}}-\cos\theta_e)=\frac{1}{2}\rho g(2ez-z^2)$
where we had defined $e$ as being the maximum height of the drop:
$e=2\kappa^{-1}\sin{\frac{\theta_e}{2}}$