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) = cos(B - C) + 2 cos(A - π/3)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,B,A)
X(396) lies on these lines:
2,6 3,397 5,14 13,15 16,549 39,619 53,473 62,140 115,531 187,530 203,495 216,466 465,577 532,618 533,623X(396) is the {X(2),X(6)}-harmonic conjugate of X(395).
X(396) = midpoint of X(I) and X(J) for these (I,J): (13,15), (299,385)
X(396) = reflection of X(395) in X(230)
X(396) = isogonal conjugate of X(2981)
X(396) = anticomplement of X(298)
X(396) = crosspoint of X(2) and X(13)
X(396) = crosssum of X(6) and X(15)
X(396) = crossdifference of any two points on line X(16)X(512)