Matpic
mathematics, in pictures
Ladder

Triangle centres — the ladder

One essay so far against this idea. A ladder is the distinct arguments that stand against one idea, and this one has room to grow.
  1. Hcentremidpoints of the sides · feet of the altitudes · midpoints up to Hall nine sit at 97.0 from the centre, which is half the 194.1 of the circle through thecornerschecked again on 240 further triangles, every one of which puts its own nine on onecircle

    Nine points on one circle

    Three midpoints, three feet of altitudes and three more midpoints. Nine points defined in three unrelated ways, on an arbitrary triangle, and all nine sit on one circle — checked here on two hundred and forty triangles as well as on the drawn one.

    rung 1 · geometry

All ladders