English

Around the Carnot theorem

Algebraic Geometry 2013-08-29 v1

Abstract

We study the Carnot theorem and the configuration of points and lines in connection with it. It is proven that certain significant points in the configuration lie on the same lines and same conics. The proof of an equivalent statement formulated by Bradley is given. An open conjecture, established by Bradley, is proved using the theorems of Carnot and Menelaus.

Keywords

Cite

@article{arxiv.1308.6144,
  title  = {Around the Carnot theorem},
  author = {Djordje Baralic},
  journal= {arXiv preprint arXiv:1308.6144},
  year   = {2013}
}

Comments

11 pages, 11 figures

R2 v1 2026-06-22T01:16:37.022Z