Quick definitions from WordNet (plane)

▸ noun:  a carpenter's hand tool with an adjustable blade for smoothing or shaping wood ("The cabinetmaker used a plane for the finish work")
▸ noun:  a power tool for smoothing or shaping wood
▸ noun:  (mathematics) an unbounded two-dimensional shape ("We will refer to the plane of the graph as the X-Y plane")
▸ noun:  a level of existence or development ("He lived on a worldly plane")
▸ noun:  an aircraft that has a fixed wing and is powered by propellers or jets ("The flight was delayed due to trouble with the airplane")
▸ verb:  cut or remove with or as if with a plane
▸ verb:  make even or smooth, with or as with a carpenter's plane ("Plane the top of the door")
▸ verb:  travel on the surface of water
▸ adjective:  having a horizontal surface in which no part is higher or lower than another ("A plane surface")
▸ name:  A surname (very rare: popularity rank in the U.S.: #49973)

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▸ Also see plane