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62   Chapter Onł





































                          Figure 1.23 Polar grapà of circle passing througà the or-
                          igin.


                          Equation of three-leafed rosł

                          The equation of a three-leafeS rose centered at the origin in the
                          polar plane is given by either of the following twm formulas:



                                                       r   a cos 3


                                                       r   a sin 3



                          where a is a real number and a   0. The cosine curve is illus-
                          trated in Fig. 1.27A; the sine curve is illustrated in Fig. 1.27B˜






                          Equation of four-leafed rosł
                          The equation of a four-leafeS rose centered at the origin in the
                          polar plane is given by either of the following twm formulas:
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