Cylindrical Coordinate Coordinate Systems. Representing 3D points in Cylindrical Coordinates.  r Start from polar representations in the plane.

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Presentation transcript:

Cylindrical Coordinate Coordinate Systems

Representing 3D points in Cylindrical Coordinates.  r Start from polar representations in the plane

Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

 r Representing 3D points in Cylindrical Coordinates.  r (r,,z)(r,,z)

Converting between rectangular and Cylindrical Coordinates  r  r (r, ,z) Rectangular to Cylindrical Cylindrical to rectangular No real surprises here!