Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears a(a2 + ab + ac - bc) : b(b2 + bc + ba - ca) : c(c2 + ca + cb - ab)
Barycentrics a2(a2 + ab + ac - bc) : b2(b2 + bc + ba - ca) : c2(c2 + ca + cb - ab)Let O(A) be the circle tangent to line BC and to the circumcircle of triangle ABC at vertex A, and define O(B) and O(C) cyclically. X(595) is the radical center of O(A), O(B), O(C).
X(595) lies on these lines: 1,21 3,995 10,82 32,101 35,902 40,602 46,614 55,386 56,106 110,849 171,1125 387,390 517,580
X(595) = isogonal conjugate of X(596)
X(595) = crosssum of X(244) and X(523)(Antreas Hatzipolakis, Paul Yiu, Hyacinthos #2070)