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3.6. Polar coordinates

Lecture



Let the PDK set on the plane. Take an arbitrary point P (x, y) on the plane. The location of the point P on the plane is uniquely determined by the Cartesian coordinates x and y . Also, the position of point P on the plane can be uniquely determined by the module of the radius vector of point P and the angle formed by the vector   3.6.  Polar coordinates and the Ox axis (Fig. 4).

  3.6.  Polar coordinates

Fig. four

Denote by ρ the module of the radius-vector   3.6.  Polar coordinates through φ is the angle between the vector   3.6.  Polar coordinates and axis Ox . The values ​​of ρ and φ can be taken as the new coordinates of the point P : P ( ρ, φ ) . These coordinates are called polar coordinates . Cartesian coordinates are expressed in polar terms as follows:

  3.6.  Polar coordinates

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Linear Algebra and Analytical Geometry

Terms: Linear Algebra and Analytical Geometry