Cylindrical Coordinates
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Cylindrical Coordinates
A system of curvilinear
coordinates in which the position of a point in space is determined by (a)
its perpendicular distance from a given line, (b) its distance from a selected
reference plane perpendicular to this line, and (c) its angular distance from
a selected reference line when projected onto this plane. The coordinates thus
form the elements of a cylinder, and, in the usual notation, are written,
r, Missing Image:IMG src="c_files/thetasm.gif", and z where r is the
radial distance from the cylinder's axis z, and Missing Image:IMG
src="c_files/thetasm.gif" is the angular position from a reference line in a
cylindrical cross section normal to z. Also called cylindrical polar
coordinates, circular cylindrical coordinates. See polar
coordinates.
The relations between the cylindrical coordinates and the rectangular
Cartesian coordinates (x, y, z) are x = r
cos Missing Image:IMG src="c_files/thetasm.gif", y = r sin Missing Image:IMG
src="c_files/thetasm.gif"', z = z.
References
This article is based on NASA's Dictionary of Technical Terms for Aerospace Use