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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: