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 csc 2A sec(B - C) : csc 2B sec(C - A) : csc 2C sec(A - B)
Barycentrics sec A sec(B - C) : sec B sec(C - A) : sec C sec(A - B)
X(275) lies on these lines:
2,95 4,54 13,472 14,473 17,471 18,470 25,262 51,107 53,288 76,276 83,297 94,324 98,427X(275) = isogonal conjugate of X(216)
X(275) = isotomic conjugate of X(343)
X(275) = X(276)-Ceva conjugate of X(95)
X(275) = cevapoint of X(4) and X(6)
X(275) = X(I)-cross conjugate of X(J) for these (I,J): (6,54), (54,95)
X(275) = crosssum of X(217) and X(418)