The Limaçon

Irina Boyadzhiev, May 4, 2015

The Limaçon


  • 1. Limaçon – Polar Equiation
  • 2. The Limaçon as an Envelope of Circles
  • 3. Limaçon as a Pedal of a Circle
  • 4. Limaçon as a Roulette - 1
  • 5. The Limaçon as a Conchoid of a Circle
  • 6. Inversion
  • 7. The Inverse of a Hyperbola
  • 8. The Inverse of an Ellipse
  • 9. The Inverse of a Parabola

1.

Limaçon – Polar Equiation

In polar coordinates: [math] r=b+a \cdot cos(θ)[/math][br][list][br][*]Special cases: [math] b<a, b=a, b>a[/math][br][*]Explore: [math]a>0, a=0, a<0[/math][br][/list]
Limaçon – Polar Equiation
– Irina Boyadzhiev

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

8.

–

9.

–

Information