# Tangent Quadrics in Real 3-Space

arXiv: https://arxiv.org/abs/2010.10879 · HTML: https://mlsanity.com/paper/2010.10879/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 21 Oct 2020.

## Built on by (most cited first, 1 of 1)

- [Reinforcement Learning for Power-Flow Network Analysis](https://mlsanity.com/paper/2603.05673/) (2026)

## Abstract (arXiv)

We examine quadratic surfaces in 3-space that are tangent to nine given figures. These figures can be points, lines, planes or quadrics. The numbers of tangent quadrics were determined by Hermann Schubert in 1879. We study the associated systems of polynomial equations, also in the space of complete quadrics, and we solve them using certified numerical methods. Our aim is to show that Schubert's problems are fully real.