The relative path of a liquid particle is along a stream line

[psi]´ = ½Uc², a constant, (12)

p²y² - (y² - c²)² p²y² - (y² - c²)²

x = -----------------, [root](x² + y²) = ----------------- (13)

2p(y² - c²) 2p(y² - c²)

a C4; while the absolute path of a particle in space will be given by

dy r - x y² - c²

-- = - ----- = -------, (14)

dx y 2py

y² - c² = a²e^(-x/p). (15)