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Even with these restrictions, if the polar angle (inclination) is 0° or 180°—elevation is −90° or +90°—then the azimuth angle is arbitrary; and if r is zero, both azimuth and polar angles are arbitrary. To define the coordinates as unique, the user can assert the convention that (in these cases) the arbitrary coordinates are set to zero.
In green, the point with radial coordinate 3 and angular coordinate 60 degrees or (3, 60°). In blue, the point (4, 210°). In mathematics, the polar coordinate system specifies a given point in a plane by using a distance and an angle as its two coordinates. These are the point's distance from a reference point called the pole, and
Conversely, the polar line (or polar) of a point Q in a circle C is the line L such that its closest point P to the center of the circle is the inversion of Q in C. If a point A lies on the polar line q of another point Q, then Q lies on the polar line a of A. More generally, the polars of all the points on the line q must pass through its pole Q.
A point with a reflection coefficient magnitude 0.63 and angle 60° represented in polar form as , is shown as point P 1 on the Smith chart. To plot this, one may use the circumferential (reflection coefficient) angle scale to find the ∠ 60 ∘ {\displaystyle \angle 60^{\circ }\,} graduation and a ruler to draw a line passing through this and ...
Three styles of loose leaf graph paper: 10 squares per centimeter ("millimeter paper"), 5 squares per inch (“engineering paper"), 4 squares per inch (“quad paper") Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available either as loose leaf paper ...
The radar chart is also known as web chart, spider chart, spider graph, spider web chart, star chart, [2] star plot, cobweb chart, irregular polygon, polar chart, or Kiviat diagram. [ 3 ] [ 4 ] It is equivalent to a parallel coordinates plot, with the axes arranged radially.
A polar plotter also known as polargraph or Kritzler is a plotter which uses two-center bipolar coordinates to produce vector drawings using a pen suspended from strings connected to two pulleys at the top of the plotting surface. This gives it two degrees of freedom and allows it to scale to fairly large drawings simply by moving the motors ...
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