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qr code vb.net open source Solution in Visual Studio .NET
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Polar TwoSpace
The Cartesian plane isn t the only tool for graphing on a flat surface Instead of moving rightleft and updown from the origin, we can travel in a specified direction straight outward from the origin to reach a desired point The direction angle is expressed in radians with respect to a reference axis The outward distance is called the radius This scheme gives us polar twospace or the polar coordinate plane The Variables
Figure 31 shows the basic polar coordinate plane The independent variable is portrayed as an angle q relative to a ray pointing to the right (or east ) That ray is the reference axis The dependent variable is portrayed as the radius r from the origin In this way, we can define points in the plane as ordered pairs of the form (q,r) The radius In the polar plane, the radial increments are concentric circles The larger the circle, the greater the value of r In Fig 31, the circles aren t labeled in units We can imagine each concentric circle, working outward, as increasing by any number of units we want For example, each radial division might represent 1, 5, 10, or 100 units Whatever size increments we choose, we must make sure that they stay the same size all the way out That is, the relationship between the radius coordinate and the actual radius of the circle representing it must be linear The direction As pure mathematicians, we express polarcoordinate direction angles in radians We go counterclockwise from a reference axis pointing in the same direction as the positive x axis normally goes in the Cartesian xy plane The angular scale must be linear That is, the physical angle on the graph must be directly proportional to the value of q

