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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = (b + c)sec A - b sec B - c sec C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
As the isogonal conjugate of a point on the circumcircle, X(515) lies on the line at infinity.
X(515) lies on these lines: 1,4 3,10 8,20 29,947 30,511 36,80 55,1012 103,929 119,214 153,908 165,376 281,610 284,1065 381,551
X(515) = orthopoint of X(522)
X(515) = isogonal conjugate of X(102)
X(515) = anticomplementary conjugate of X(151)
X(515) = complementary conjugate of X(117)
X(515) = X(4)-Ceva conjugate of X(117)
X(515) = crossdifference of any two points on line X(6)X(652)