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(395) lies on these lines:
2,6 3,398 5,13 14,16 15,549 39,618 53,472 61,140 115,530 187,531 202,495 216,465 466,577 532,624 533,619X(395) is the {X(2),X(6)}-harmonic conjugate of X(396).
X(395) = midpoint of X(I) and X(J) for these (I,J): (14,16), (298,385)
X(395) = reflection of X(396) in X(230)
X(395) = complement of X(299)
X(395) = crosspoint of X(2) and X(14)
X(395) = crosssum of X(6) and X(16)
X(395) = crossdifference of any two points on line X(15)X(512)