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 4 cos A - sec A : 4 cos B - sec B : 4 cos C - sec C
= sin 3A csc 2A : sin 3B csc 2B : sin 3C csc 2CBarycentrics (sin A)(4 cos A - sec A) : (sin B)(4 cos B - sec B) : (sin C)(4 cos C - sec C)
X(186) lies on these lines: 2,3 54,389 93,252 98,935 107,477 112,187 249,250
X(186) is the {X(3),X(24)}-harmonic conjugate of X(4).
X(186) = reflection of X(I) in X(J) for these (I,J): (4,403), (403,468)
X(186) = isogonal conjugate of X(265)
X(186) = isotomic conjugate of X(328)
X(186) = complement of X(3153)
X(186) = anticomplement of X(2072)
X(186) = inverse-in-circumcircle of X(4)
X(186) = X(340)-Ceva conjugate of X(323)
X(186) = X(50)-cross conjugate of X(323)
X(186) = crosspoint of X(54) and X(74)
X(186) = crosssum of X(I) and X(J) for these (I,J): (5,30), (621,622)
X(186) = crossdifference of any two points on line X(216)X(647)