You can find out your answer through the name itself. The first part air, or aero (depending on where you are from), indicates the medium through which you intend to interact. The second part, plane, indicates a flat or level surface. Rather than calling all flying vehicles, "flying machines" or "flying systems" its much easier to just refer to all vehicles that travel through a gaseous substance according to the plane itself. And yes, by those standards, all vehicles that travel on or through water are hydroplanes.
The airplane in the movie Airplane is a Boeing 707
The name of Phil Mickelsons airplane is Limp Lefty
No, the airplane had no name
The body of an airplane is known as a fuselage.
Moving an airplane on the ground is called 'taxiing'
The 'nose' .
Airplane
an airport
airplane
A hanger
Aircraft
a pilot