Community Bot 1. Richard Hevener Richard Hevener 1, 8 8 silver badges 18 18 bronze badges. He discovered that the orthocenter, circumcenter and centroid lie on the line.
Naturally, he must have looked for the incenter and found out the facts, given the ingenuity he had. It would be interesting to know the big E's argument. Add a comment. Active Oldest Votes. Mark Yasuda Mark Yasuda 1, 9 9 silver badges 24 24 bronze badges. Many thanks. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password.
Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. Now live: A fully responsive profile. The unofficial elections nomination post. Linked 9. Related 9. Hot Network Questions. Question feed. As you drag any of the triangle's vertices around, you can see that these points remain collinear , all lying on the green Euler line.
The three centers involved each have their own page describing them, but here is a brief overview:. Home Contact About Subject Index. In any triangle, the centroid , circumcenter and orthocenter always lie on a straight line, called the Euler line. Try this Drag any orange dot on a vertex of the triangle.
The three dots representing the three centers will always lie on the green Euler line.
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