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) = ab + ac - b2 - c2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
As the isogonal conjugate of a point on the circumcircle, X(518) lies on the line at infinity.
X(518) lies on these lines:
1,6 2,210 7,8 10,141 11,908 30,511 38,42 43,982 55,63 56,78 57,200 59,765 144,145 209,306 239,335 244,899 329,497 551,597 583,1009 612,940 896,902 997,999X(518) = isogonal conjugate of X(105)
X(518) = complementary conjugate of X(120)
X(518) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,120), (335,37)
X(518) = crosspoint of X(1) and X(291)
X(518) = crosssum of X(I) and X(J) for these (I,J): (1,238), (56,1456)
X(518) = crossdifference of any two points on line X(6)X(513)
X(518) = X(I)-Hirst inverse of X(J) for these (I,J): (1,9), (6,1083)
X(518) = X(I)-line conjugate of X(J) for these (I,J): (1,6), (30,513)