All concyclic points are the same distance from the center of the circle.

It is so named because it passes through nine significant concyclic points defined from the triangle.

Most of the other results discussed in the paper pertained to various concyclic points that could be constructed from the Lemoine point.

Maurizio Ternullo: Two new sets of ellipse related concyclic points.

Given four concyclic points.

Four Concyclic Points by Michael Schreiber, The Wolfram Demonstrations Project.

Every surjective mapping that transforms any four concyclic points into four concyclic points is a similarity.

Here is a proof using properties of concyclic points to show that the three red lines in Fig 1 are concurrent and cut one another at angles of 60 .

After a couple of minutes on the phone, he had explained the "concyclic points theorem" to me and has succeeded in pounding the "tangent chord theorem" into my befuddled brain.

Some authors consider collinear points (sets of points all belonging to a single line) to be a special case of concyclic points, with the line being viewed as a circle of infinite radius.

A related characterization states that a convex quadrilateral is orthodiagonal if and only if the midpoints of the sides and the feet of the four maltitudes are eight concyclic points; the eight point circle.