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1A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line (r) connecting the point to the origin, and the second the angle (θ) made by this line with a fixed line.
‘The same formula can be expressed in polar coordinates, where the locations of points are expressed in terms of angle, q, and distance, r, from the origin rather than x and y coordinates.’
‘Cartesian and polar coordinates are great tools in the analytic geometry of the plane.’
‘It was based on polar coordinates whereas earlier instruments were based on cartesian coordinates.’
‘On page 149, Pesic mentions de Moivre's discovery of the formula (cos [theta] + i sin [theta]) n = cos n [theta] + i sin n [theta] and implies that to prove it one needs to think about complex numbers in polar coordinates.’
‘If we insist on unbiasedness, we must choose c so that E = [mu] uniformly in [mu]. To think about that, we first express the problem in polar coordinates.’
1.1The coordinates in a three-dimensional extension of this system.
‘Since the profile is a curved shape, it's much easier mathematically to use what are known as as polar coordinates.’