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ride in a plane. you would fly a plane
No. A square is a plane figure and conventionally for plane figures symmetry is considered in terms of rotation about a point or an axis (in the plane of the figure) but not a plane outside the plane of the square.
The slope of an inclined plane is found by dividing the rise of the plane by the run of the plane. also the ideal mechanical advantage.
a plane
The coordinate plane is sometimes call the Cartesian plane because Rene Descartes is often credited with inventing the coordinate plane and so the coordinate plane is sometimes called the Cartesian plane,in his honor.