Definitions of plane:

• noun:   a carpenter's hand tool with an adjustable blade for smoothing or shaping wood

  Example: "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

  Example: "We will refer to the plane of the graph as the X-Y plane"

• noun:   a level of existence or development

  Example: "He lived on a worldly plane"

• noun:   an aircraft that has a fixed wing and is powered by propellers or jets

  Example: "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

  Example: "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

  Example: "A plane surface"

• name:  A surname (very rare: popularity rank in the U.S.: #49973)