In a nutshell, a pencil of quadrics is a family of quadrics where all the elements intersect with the base curve. To build them, these steps are followed: 1) 2 Quadrics are chosen, 2) A linear combination is made, 3) The base curve is obtained, which is the intersection of the original quadrics, 4) The singular quadrics are identified, which is when the determinant of the linear combination is zero, 5) The pencil is graphed.
Related topics
| Topic | Replies | Views | Activity | |
|---|---|---|---|---|
| Pencil of quadrics 4 | 0 | 319 | April 28, 2026 | |
| Pencil of quadrics 3 | 0 | 468 | April 27, 2026 | |
| Pencil of quadrics 1 | 0 | 316 | April 25, 2026 | |
| The last one: Pencil of quadrics 5 | 0 | 360 | April 28, 2026 | |
| How to exemplify the theorem of 3 quadrics that pass through a conical | 0 | 224 | July 29, 2026 |