Another common coordinate system for the plane is the Polar coordinate system. A point is chosen as the pole and a ray from this point is taken as the polar axis. For a given angle θ, there is a single line through the pole whose angle with the polar axis is θ (measured counterclockwise from the axis to the line). Then there is a unique point on this line whose signed distance from the origin is r for given number r. For a given pair of coordinates (r, θ) there is a single point, but any point is represented by many pairs of coordinates. For example (r, θ), (r, θ+2π) and (−r, θ+π) are all polar coordinates for the same point. The pole is represented by (0, θ) for any value of θ.
Read more about this topic: Coordinate System
Famous quotes containing the words polar and/or system:
“Professor Fate: My apologies. There’s a polar bear in our car.”
—Arthur Ross. Professor Fate (Jack Lemmon)
“Such is the remorseless progression of human society, shedding lives and souls as it goes on its way. It is an ocean into which men sink who have been cast out by the law and consigned, with help most cruelly withheld, to moral death. The sea is the pitiless social darkness into which the penal system casts those it has condemned, an unfathomable waste of misery. The human soul, lost in those depths, may become a corpse. Who shall revive it?”
—Victor Hugo (1802–1885)