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 (b - c)/a : (c - a)/b : (a - b)/c
Barycentrics b - c : c - a : a - b
As the isogonal conjugate of a point on the circumcircle, X(514) lies on the line at infinity.
X(514) lies on this line: 1,663 2,1022 10,764 30,511 101,664 109,929 190,1016 239,649 241,650 551,676 651,655 659,667 661,693
X(514) = orthopoint of X(516)
X(514) = isogonal conjugate of X(101)
X(514) = isotomic conjugate of X(190)
X(514) = anticomplementary conjugate of X(150)
X(514) = complementary conjugate of X(116)
X(514) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,116), (7,11), (75,244), (100,142), (190,2)
X(514) = X(I)-cross conjugate of X(J) for these (I,J): (11,7), (244,75)
X(514) = crosspoint of X(2) and X(190)X(514) = crosssum of X(I) and X(J) for these (I,J): (6,649), (37,650), (41,663), (48,652), (55,657), (213,667), (354,513), (1459,1473)
X(514) = crossdifference of any two points on line X(6)X(31)
X(514) = X(513)-Hirst inverse of X(812)