Cylindrical Coordinates

cylindrical coordinates

[sə′lin·drə·kəl ‚kō′ȯrd·ən·əts] (mathematics) A system of curvilinear coordinates in which the position of a point in space is determined by its perpendicular distance from a given line, its distance from a selected reference plane perpendicular to this line, and its angular distance from a selected reference line when projected onto this plane.

Cylindrical Coordinates

The cylindrical coordinates of a point M are the three numbers r, θ, and z characterizing the position of M in space (see Figure 1). The coordinates are called cylindrical because the coordinate surface r = const is a cylinder

Figure 1

whose elements are parallel to the z-axis. The relation between the cylindrical coordinates and the rectangular coordinates x, y, and z of M is given by the equations x = r cos θ, y = r sin θ, and z = z.

单词	cylindrical coordinates
释义	cylindrical coordinates cylindrical coordinates pl n (Mathematics) three coordinates defining the location of a point in three-dimensional space in terms of its polar coordinates (r, θ) in one plane, usually the (x, y) plane, and its perpendicular distance, z, measured from this plane Cylindrical Coordinates cylindrical coordinates [sə′lin·drə·kəl ‚kō′ȯrd·ən·əts] (mathematics) A system of curvilinear coordinates in which the position of a point in space is determined by its perpendicular distance from a given line, its distance from a selected reference plane perpendicular to this line, and its angular distance from a selected reference line when projected onto this plane. Cylindrical Coordinates The cylindrical coordinates of a point M are the three numbers r, θ, and z characterizing the position of M in space (see Figure 1). The coordinates are called cylindrical because the coordinate surface r = const is a cylinder Figure 1 whose elements are parallel to the z-axis. The relation between the cylindrical coordinates and the rectangular coordinates x, y, and z of M is given by the equations x = r cos θ, y = r sin θ, and z = z.
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