The Begonia Point

Let ABC be a triangle and let P be a point. Let A'B'C' be the Cevian triangle of P, which means that A', B', and C' are the intersections of AP, BP, and CP with BC, CA, and AB, respectively. Let X, Y, and Z be the reflections of P in B'C', C'A', and A'B', respectively. Then AX, BY, and CZ are concurrent. The name "begonia point" has been suggested for this point of concurrency.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

RELATED LINKS

    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.