This document summarizes key concepts related to aircraft hydraulic and pneumatic power systems. It discusses the history and definition of hydraulics, and describes common functions of aircraft hydraulic systems such as operating landing gear, flaps, brakes and flight controls. The document then covers important hydraulic concepts and formulas including Pascal's Law, mechanical advantage, and relationships between pressure, force, area, distance and volume. It also discusses hydraulic fluids used in aircraft, including vegetable-based, mineral-based and synthetic fluids, as well as considerations for fluid selection including viscosity, stability, flash point and compatibility with aircraft materials.