Definition:Quadrifolium/Cosine Form

Definition

The quadrifolium can be defined by the polar equation in the form:

$r = a \cos 2 \theta$

where:

$0 \le \theta \le 2 \pi$

Also known as

The quadrifolium is also seen referred to as a four-leaved rose, or four-petalled rose.

Also see

• Definition:Quadrifolium/Sine Form

• Results about quadrifolium curves can be found here.

Sources

• 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 11$: Special Plane Curves: Four-Leaved Rose: $11.17$