Pascal's principle

Fluid at Rest: The principle applies to fluids that are at rest, meaning they are not in motion.

Equal Pressure Increase: Any increase in pressure at one point in the fluid is transmitted equally in all directions throughout the fluid.

Implications for Hydraulics: Pascal's principle is the basis for the operation of hydraulic systems, which use the transmission of fluid pressure to amplify force.

Applications: It has numerous applications in various fields, including hydraulic presses, hydraulic brakes, hydraulic lifts, and many others.

Mathematical Expression: Mathematically, if $P_1$ is the initial pressure at point 1 and $\mathrm{\Delta }P$ is the change in pressure, then the new pressure $P_2$ at any other point in the fluid is given by $P_2=P_1+\mathrm{\Delta }P$.