Conics as Envelopes of Families of Plane Curves

Juan Carlos Ponce Campuzano, 19/3/2019

In this book you can find some classic constructions to obtain conics as envelopes of straight lines. An interesting result while studying these conics is that you can find parabolas as envelopes of families of ellipses and hyperbolas. Most of the mathematical details can be found here: [b]Conics as Envelopes of Families of Plane Curves[/b] [url]https://doi.org/10.1080/07468342.2019.1560207[/url] If you find this useful, please let me know j.ponce@uq.edu.au or send me a tweet @PonceCampuzano


  • 1. Rainbow conics as envelopes of straight lines
  • 2. Conics as envelopes: Parabola
  • 3. Conics as envelopes: Ellipses and Hyperbolas
  • 4. Conics as envelopes: All conics in one image
  • 5. Conics as envelopes: Family of ellipses and hyperbolas
  • 6. Parabolas as envelopes of conic sections
  • 7. Parabola
  • 8. Ellipse and Hyperbola
  • 9. Problem: Circles tangents to given line and circle

1.

Rainbow conics as envelopes of straight lines

For more math details about this construction see: [br][br][url=https://doi.org/10.1080/07468342.2019.1560207]https://doi.org/10.1080/07468342.2019.1560207[/url]
– Juan Carlos Ponce Campuzano

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

8.

–

9.

–

Información