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 (2a - b - c)/a : (2b - c - a)/b : (2c - a - b)/c
Barycentrics 2a - b - c : 2b - c - a : 2c - a - b
As the isogonal conjugate of a point on the circumcircle, X(519) lies on the line at infinity.
X(519) lies on these lines: 1,2 6,996 9,1000 30,511 36,100 40,376 55,956 58,1043 65,553 72,950 80,908 210,392 238,765 320,668 355,381 447,648 594,1100 672,1018 751,984
X(519) = isogonal conjugate of X(106)
X(519) = isotomic conjugate of X(903)
X(519) = complementary conjugate of X(121)
X(519) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,121), (80,10)
X(519) = crosssum of X(I) and X(J) for these (I,J): (6,902), (56,1457)
X(519) = crossdifference of any two points on line X(6)X(649)
X(519) = X(I)-Hirst inverse of X(J) for these (I,J): (513,537), (514,545)