Definition:Quadrifolium/Sine Form

Definition

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

$r = a \sin 2 \theta$

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/Cosine 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: $11.17$
• 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 9$: Special Plane Curves: Four-Leaved Rose: $9.17.$

• Weisstein, Eric W. "Quadrifolium." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Quadrifolium.html