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10.3 Polar coordinates Coordinate Systems
 

Summary: 10.3 Polar coordinates
Coordinate Systems
Coordinate system: just a way to define a point.
Rectangular Coordinate System consists two perpendicular lines, called
axes, and an origin.
Each point P in a plane can be associated with a pair of rectangular
coordinates( , )x y , where x is the distance from origin to the foot of the
perpendicular from P on the X-axis and y is the distance from origin to the
foot of the perpendicular from P on Y-axis.
P(x,y)
x
y
start at origin
move `x' units horizontally
and `y' units vertically and
we reach point `P'
Another way to define the point P in the plane by a pair of coordinates ( , )r
called polar coordinates.
A polar coordinate system consists a fixed point O, called the pole or
origin, and a ray starting from the pole, called the polar axis.

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics