Where P1 and P2 are the first and second elevations, p (roe) represents the fluid density, v1 and v2 represent the velocities of the fluid at the different points, h1 and h2 represent the heights of the fluid at the two points, and g represents the acceleration due to gravity-- the expression below represents the energy per unit of the fluid motion before and after the observation.
Notice how the second term on each side represents kinetic energy, and the third term on each side represents potential energy. Bernoulli's Principle is an extension of Conservation of Energy and Motion.