The Circumcircle of the Orthocenter and Two Vertices and a Parallelogram

Let ABC be a triangle. Let the perpendicular from the orthocenter H to the altitude HC intersect the circumcircle of HBC at P. Then ABPH is a parallelogram.

THINGS TO TRY

SNAPSHOTS

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