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) = csc A sec2A
Barycentrics sec2A : sec2B : sec2C
X(2052) lies on these lines: 2,216 4,51 6,275 10,158 13,473 14,472 17,470 18,471 24,96 25,98 63,1947 76,297 83,458 92,226 184,436 262,427 331,1446 394,801 401,1968 485,1585 486,1586 648,1993
X(2052) = isogonal conjugate of X(577)
X(2052) = isotomic conjugate of X(394)
X(2052) = cevapoint of X(I) and X(J) for these (I,J): (4,393), (6,24), (324,467), (1585,1586)
X(2052) = X(I)-cross conjugate of X(J) for these (I,J): (4,264), (6,847), (53,4), (393,1093), (686,1304)